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79 pages, 933 KB  
Article
The Zeta-Minimizer Theorem as a Deductive Variational Foundation for HOR and ORR Kinetics in Proton Exchange Membrane Fuel Cells
by Muhamad Fouad
Magnetochemistry 2026, 12(8), 81; https://doi.org/10.3390/magnetochemistry12080081 - 26 Jul 2026
Viewed by 257
Abstract
The Zeta-Minimizer Theorem provides a fully deductive variational foundation for the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR) in proton exchange membrane fuel cells. Starting from three primitive thermodynamic axioms and the helical geometry of the phase functional, a multi-extent dynamical [...] Read more.
The Zeta-Minimizer Theorem provides a fully deductive variational foundation for the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR) in proton exchange membrane fuel cells. Starting from three primitive thermodynamic axioms and the helical geometry of the phase functional, a multi-extent dynamical system is constructed that simultaneously treats the electrochemical reaction coordinates and the adsorption extents of the participating species at the solid–electrolyte interface. The combined Hessian of the phase functional yields a complete spectrum of relaxation rates whose eigenvalues and eigenvectors emerge directly from the solid blackbox constants Ck and the helical partition functions of the reactive species. Adiabatic elimination of the fast surface modes produces an effective single-extent description in which voltage (or overpotential) appears as the conjugate variable, exactly analogous to the role of pressure in the corresponding gas-phase ammonia synthesis framework. The resulting nonlinear rate law is thermodynamically consistent at all conditions, recovers the Butler–Volmer and Tafel forms as well-defined limiting cases, and incorporates the effects of temperature, dilution, and catalyst-specific interface constants without empirical activation energies or adjustable reaction orders. The framework therefore unifies equilibrium, kinetics, and modal dynamics of HOR and ORR within a single variational structure, offering a parameter-light, first-principles alternative to classical empirical electrocatalytic rate expressions while preserving transparent contact with established limiting laws. Full article
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19 pages, 3327 KB  
Article
Effect of Ti Content on Passive Film Formation and Growth Kinetics in Ni50Nb50−xTix Metallic Glasses
by A. G. Soriano Carranza, L. A. Sánchez, P. Roncagliolo, A. Espinoza Vázquez, C. Ramos, G. A. Lara, G. González, F. J. Rodríguez Gómez and I. A. Figueroa
Metals 2026, 16(7), 768; https://doi.org/10.3390/met16070768 - 10 Jul 2026
Viewed by 412
Abstract
In this study, the effect of Ti content on the electrochemical behavior and passive film growth mechanism of Ni50Nb50−xTix (x = 10, 15, and 20 at.%) metallic glasses produced via melt spinning was investigated. Structural characterization via X-ray [...] Read more.
In this study, the effect of Ti content on the electrochemical behavior and passive film growth mechanism of Ni50Nb50−xTix (x = 10, 15, and 20 at.%) metallic glasses produced via melt spinning was investigated. Structural characterization via X-ray diffraction (XRD) and transmission electron microscopy (TEM) confirmed the fully glassy nature and chemical homogeneity of all alloys. Electrochemical performance was evaluated in a 3.5 wt.% NaCl solution using potentiodynamic and potentiostatic polarization, as well as electrochemical impedance spectroscopy (EIS). The results showed that increasing Ti content improves corrosion resistance by reducing corrosion and passive current densities and increasing charge-transfer resistance. The Ni50Nb30Ti20 alloy exhibited the best electrochemical performance, associated with the formation of a more stable and protective passive film. The passive film growth mechanism was analyzed using the High-Field Model (HFM). A linear relationship between inverse capacitance and anodic potential confirmed that ionic transport through the oxide layer governs passive film growth. The calculated electric field strength decreased systematically with increasing Ti content, suggesting the formation of passive films with lower defect density and enhanced barrier properties. These results demonstrate that adding Ti significantly enhances the passivation behavior of Ni-Nb metallic glasses and promotes the formation of stable oxide films with improved corrosion resistance in chloride-containing environments. Full article
(This article belongs to the Special Issue Feature Papers in Entropic Alloys and Meta-Metals (2nd Edition))
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18 pages, 1411 KB  
Article
Emergence of a Magnetic Semiconducting Phase in Hydrogenated Two-Dimensional SiGe Random Alloys
by Alberto Debernardi
Electron. Mater. 2026, 7(3), 17; https://doi.org/10.3390/electronicmat7030017 - 2 Jul 2026
Viewed by 454
Abstract
Two-dimensional (2D) group-IV materials are promising for spintronics due to their silicon compatibility and tunable properties. In this work, we investigate the structural, electronic, magnetic, and optical properties of semi-hydrogenated 2D SiGe random alloys—where hydrogen atoms saturate only one side of the atomic [...] Read more.
Two-dimensional (2D) group-IV materials are promising for spintronics due to their silicon compatibility and tunable properties. In this work, we investigate the structural, electronic, magnetic, and optical properties of semi-hydrogenated 2D SiGe random alloys—where hydrogen atoms saturate only one side of the atomic plane—using density functional theory and many-body perturbation theory (GW0). Substitutional disorder is modeled via representative high-symmetry configurations introduced by Baldereschi and co-workers to enable quasiparticle and optical simulations in large supercells. We demonstrate that these semi-hydrogenated alloys possess an intrinsic magnetic semiconducting ground state, arising from the electronic structure of the system, with an integer magnetic moment of 1μB per primitive cell. The spin-resolved electronic structure features nearly flat frontier bands and a finite energy gap, which is significantly renormalized by quasiparticle corrections while maintaining robust spin polarization. These properties remain remarkably stable across different realizations of chemical disorder and over a wide range of alloy compositions considered in this work. Optical spectra calculated within the random phase approximation reveal a composition-dependent red-shift of the low-energy onset in the imaginary part of the dielectric function, consistent with the evolution of the quasiparticle electronic structure and the persistence of flat spin-polarized frontier bands. Our findings establish semi-hydrogenated 2D SiGe random alloys as a resilient model platform to explore interaction-driven magnetism in disordered two-dimensional systems, while simultaneously offering realistic prospects for spintronic and magneto-optoelectronic applications in the presence of chemical disorder. Full article
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32 pages, 4685 KB  
Article
Spin-Polarized Electronic Structure, Charge Analysis, and Magnetic Stability in Fe-Doped SiC Nanosheets: A DFT + U Study
by Vusala Nabi Jafarova, Aynur N. Jafarova, Jihad H. Asad, Ayisha J. Ahmadova, Resul S. Rehimov, Rahila A. Hasanova and Fariz Guliyev
Micro 2026, 6(3), 47; https://doi.org/10.3390/micro6030047 - 29 Jun 2026
Viewed by 467
Abstract
In this work, the structural, electronic, charge-transfer, thermal, and magnetic properties of pristine and Fe-doped silicon carbide nanosheets (SiCNShs) were systematically investigated using spin-polarized density functional theory (DFT) within the Local Spin Density Approximation including Hubbard correction (LSDA + U). A 4 × [...] Read more.
In this work, the structural, electronic, charge-transfer, thermal, and magnetic properties of pristine and Fe-doped silicon carbide nanosheets (SiCNShs) were systematically investigated using spin-polarized density functional theory (DFT) within the Local Spin Density Approximation including Hubbard correction (LSDA + U). A 4 × 4 SiCNSh supercell containing 80 atoms was considered, where Fe atoms were substitutionally introduced at carbon sites to evaluate dopant-induced modifications in the nanosheet. Structural optimization, energy convergence, force minimization, and stress evolution analyses confirm that Fe incorporation preserves the structural integrity of the SiCNSh and leads to energetically stable configurations. The calculated defect formation energy (−7.44 eV/atom) demonstrates the thermodynamic feasibility of Fe substitution, while ab initio molecular dynamics (AIMD) simulations at 300 K verify the thermal stability of the energetically favorable Fe-doped configuration. Electronic-structure calculations reveal that pristine SiCNSh exhibits a nonmagnetic semiconducting nature with a band gap of approximately 2.4 eV, whereas Fe incorporation significantly modifies the electronic structure through pronounced Fe–3d/C–2p/Si–3p orbital hybridization. The band gap is reduced to approximately 1.1 eV for the single-Fe-doped system and further decreases to 0.53/0.51 eV (spin-up/spin-down) in the double-Fe configuration, while preserving semiconducting behavior. Spin-polarized band structure and density of states analyses demonstrate clear spin asymmetry near the Fermi level, indicating strong dopant-induced spin polarization and exchange interactions. Charge-density difference and Bader charge analyses reveal substantial dopant-induced charge redistribution characterized by electron depletion around Fe atoms, enhanced electron accumulation on neighboring carbon atoms, and partial charge neutralization of nearby Si atoms, resulting in a more localized covalent Si–C–Fe bonding environment. Mulliken spin population analysis further demonstrates robust ferromagnetic ordering, where the Fe dopant acts as the dominant magnetic center with strong induced spin polarization extending into neighboring Si and C atoms. Comparison between ferromagnetic (FM) and antiferromagnetic (AFM) configurations confirms that the 2Fe@C-doped SiCNSh stabilizes in a ferromagnetic ground state, exhibiting a favorable FM–AFM energy difference of 0.216 eV. Based on the mean-field approximation, the Curie temperature was estimated to be approximately 837 K, indicating strong magnetic stability significantly above room temperature. The present findings collectively demonstrate that Fe incorporation effectively tailors the electronic and magnetic properties of SiCNSh through band-gap engineering, spin-symmetry breaking, and stabilization of high-temperature ferromagnetism. These combined characteristics establish Fe-doped SiCNShs as promising candidates for spintronic devices, magnetic semiconductors, spin injectors, spin filters, and non-volatile magnetic memory applications. Full article
(This article belongs to the Section Microscale Materials Science)
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20 pages, 4834 KB  
Article
Effect of Nb Segregation on the Stability of the FeΣ3(111) Grain Boundary by First Principles Investigation
by Lei Zhang, Xiaoyang Luo, Jiawei Shen, Jie Sheng, Xuefeng Lu and Xingchang Tang
Metals 2026, 16(6), 598; https://doi.org/10.3390/met16060598 - 29 May 2026
Viewed by 483
Abstract
The segregation of niobium (Nb) at the FeΣ3(111) grain boundary and its influence on interfacial cohesion were investigated via spin-polarized density functional theory calculations. Nb atoms exhibit strong site-selective segregation, with Site 1 being the most thermodynamically favorable one (segregation energy of −2.47 [...] Read more.
The segregation of niobium (Nb) at the FeΣ3(111) grain boundary and its influence on interfacial cohesion were investigated via spin-polarized density functional theory calculations. Nb atoms exhibit strong site-selective segregation, with Site 1 being the most thermodynamically favorable one (segregation energy of −2.47 eV), owing to its largest local Voronoi volume. Electronic structure analyses reveal pronounced Nb-4d/Fe-3d orbital hybridization and localized charge accumulation between Nb and neighboring Fe atoms, enhancing covalent bonding at the boundary. First-principles tensile simulations show that single-Nb segregation increases the critical strain from 13.58% to 15.76% and the theoretical tensile strength from 16.32 GPa to 19.64 GPa. However, double-Nb segregation reduces the work of separation to 3.26–4.24 J/m2, revealing a competition between segregation strengthening and solute-induced weakening that implies an optimal Nb concentration window for grain boundary engineering. Full article
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39 pages, 7931 KB  
Article
First-Principles Insights into Cr- and Mn-Doped Rocksalt ScN: Engineering Structural Stability and Magnetism
by Ahmad M. Alsaad
Magnetochemistry 2026, 12(4), 47; https://doi.org/10.3390/magnetochemistry12040047 - 7 Apr 2026
Viewed by 1205
Abstract
The study presents a comprehensive first-principles investigation of the structural, electronic, and magnetic properties of rocksalt scandium nitride (ScN) and its Cr- and Mn-doped derivatives using spin-polarized density-functional theory within the GGA + U (UCr = 3.5 eV, UMn = 2.7 [...] Read more.
The study presents a comprehensive first-principles investigation of the structural, electronic, and magnetic properties of rocksalt scandium nitride (ScN) and its Cr- and Mn-doped derivatives using spin-polarized density-functional theory within the GGA + U (UCr = 3.5 eV, UMn = 2.7 eV) and HSE06 frameworks. Pristine ScN crystallizes in the cubic Fm3m structure and exhibits narrow-gap semiconducting behavior, with an indirect band gap of 0.82 eV obtained from hybrid-functional calculations, in excellent agreement with reported theoretical values. Substitutional doping with Cr and Mn introduces localized 3d states near the Fermi level, driving a transition toward spin-polarized metallic or half-metallic behavior accompanied by robust ferromagnetism. Density-of-states and band-structure analyses reveal that magnetism and charge transport in the doped systems are dominated by exchange-split transition-metal 3d states hybridized with N-2p orbitals. Total energy calculations confirm ferromagnetic ground states for both Cr- and Mn-doped ScN, with Mn substitution yielding stronger exchange stabilization and higher magnetic moments. Magnetocrystalline anisotropy energies, evaluated using the force-theorem approach, are found to be negligibly small, indicating weak anisotropy consistent with the moderate spin–orbit coupling strength in ScN-based nitrides. Nevertheless, symmetry breaking around dopant sites gives rise to a finite Dzyaloshinskii–Moriya interaction, leading to weak spin canting and non-collinear magnetic tendencies. The interplay between magnetic exchange coupling, spin–orbit interaction, and local inversion symmetry breaking positions of Cr- and Mn-doped ScN as promising dilute magnetic semiconductors with tunable spin polarization and chiral magnetic interactions, offering a viable platform for nitride-based spintronic and magneto-electronic applications. Full article
(This article belongs to the Section Magnetic Materials)
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21 pages, 3227 KB  
Article
Investigating the Effect of Active Site Density in Transition Metal-Doped Graphene on CO Gas Sensing Performance: A DFT Study
by Siyu Wang, Yahui Li, Tao Zhou and Panagiotis Tsiakaras
Sensors 2026, 26(7), 2128; https://doi.org/10.3390/s26072128 - 30 Mar 2026
Cited by 1 | Viewed by 838
Abstract
Developing sensitive and reversible CO sensors requires precise control of material–analyte interactions. Using DFT, we investigate CO sensing on bimetallic (Fe, Pt) anchored on N-doped graphene (TM2–N4–C), focusing on active-site density effects. Three densities are considered: low (12.7 Å), [...] Read more.
Developing sensitive and reversible CO sensors requires precise control of material–analyte interactions. Using DFT, we investigate CO sensing on bimetallic (Fe, Pt) anchored on N-doped graphene (TM2–N4–C), focusing on active-site density effects. Three densities are considered: low (12.7 Å), medium (8.5 Å), and high (4.2 Å). FePt–N4–C band gaps exhibit non-monotonic tuning, approaching metallicity at high density. CO chemisorbs on Fe sites, but physisorbs on Pt sites. FePt exhibits stronger synergistic adsorption than homonuclear counterparts. While adsorption generally strengthens with density, spin-polarized calculations qualitatively reorder this trend via spin delocalization. High temperatures drastically improve recovery; low-density FePt–N4–C reaches 65 s at 498 K. Three design principles emerge: low-density heteronuclear systems for reversible sensing, medium-density high-spin states for ultra-sensitive capture, and high-density configurations for work function sensors. This work establishes active site density as a key electronic and kinetic knob for graphene-based CO sensors. Full article
(This article belongs to the Special Issue 2D Materials for Advanced Sensing Technology)
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18 pages, 5493 KB  
Article
First-Principles Study of Electronic, Optical, and Magnetic Properties of Fe-, Co-, and Ni-Doped MoS2 Monolayer
by Soufyane Aqiqi, Elarbi Laghchim and C. A. Duque
Optics 2026, 7(2), 21; https://doi.org/10.3390/opt7020021 - 23 Mar 2026
Cited by 1 | Viewed by 1608
Abstract
In this work, a comprehensive first-principles investigation of the electronic, magnetic, and optical properties of pristine and Fe-, Co-, and Ni-doped MoS2 monolayers is presented within the framework of density functional theory. Substitutional transition-metal doping at the Mo site is shown to [...] Read more.
In this work, a comprehensive first-principles investigation of the electronic, magnetic, and optical properties of pristine and Fe-, Co-, and Ni-doped MoS2 monolayers is presented within the framework of density functional theory. Substitutional transition-metal doping at the Mo site is shown to induce spin-polarized impurity states within the pristine band gap, leading to significant modifications of the electronic structure, including metallic, semimetallic, or half-metallic behavior depending on the dopant species. The calculated spin-resolved band structures and projected density of states reveal a strong hybridization between the dopant 3d orbitals and the Mo-4d/S-3p states, giving rise to sizable magnetic moments and dopant-dependent exchange splitting. When spin–orbit coupling is included, the combined effect of exchange interactions and relativistic effects leads to an effective valley splitting at the K and K points, whose magnitude and sign depend sensitively on the chemical nature of the dopant. Optical properties are analyzed within a linear-response framework, showing pronounced dopant-induced modifications of the optical spectra. While the pristine monolayer exhibits well-defined excitonic features, transition-metal substitution introduces low-energy optical transitions associated with impurity-related states. Consequently, the exciton binding energies estimated from the difference between the electronic and optical gaps are interpreted as effective measures of dopant-induced perturbations to optical transitions, rather than as quantitative many-body excitonic binding energies in the strict sense. These results provide microscopic insight into the interplay between magnetism, spin–orbit coupling, and optical response in doped MoS2 monolayers, highlighting the potential of transition-metal substitution as a route to engineer spin- and valley-dependent phenomena in two-dimensional materials. Full article
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18 pages, 2508 KB  
Article
Giant Tunneling Electroresistance and Anisotropic Photoresponse in Sliding Ferroelectric Homojunctions Based on Bilayer Janus MoSSe
by Huxiao Yang and Yuehua Xu
Nanomaterials 2026, 16(6), 370; https://doi.org/10.3390/nano16060370 - 18 Mar 2026
Cited by 1 | Viewed by 609
Abstract
Interlayer-sliding ferroelectricity in van der Waals bilayers enables ultralow-power switching, but practical devices are often limited by contact/interface scattering and weak coupling between polarization and transport. We propose homophase lateral architectures based on bilayer Janus MoSSe: a 1T/2H/1T ferroelectric tunnel homojunction and an [...] Read more.
Interlayer-sliding ferroelectricity in van der Waals bilayers enables ultralow-power switching, but practical devices are often limited by contact/interface scattering and weak coupling between polarization and transport. We propose homophase lateral architectures based on bilayer Janus MoSSe: a 1T/2H/1T ferroelectric tunnel homojunction and an H-phase lateral p–i–n photodetector (artificially doped electrode). Metallic 1T electrodes largely eliminate contact barriers and maximize polarization-driven tunneling modulation. Using non-equilibrium Green’s function–density functional theory (Perdew–Burke–Ernzerhof approximation, without explicit spin–orbit coupling), we find that AB to BA sliding reduces the current from the nA range to the pA range, with the minimum current of|IOFF|min = 2.83 pA, yielding giant tunneling electroresistance up to 5.3 × 104%. Projected local density of states reveals a non-rigid long-range potential redistribution that reshapes the tunneling barrier and opens high-transmission channels. In the p–i–n photodetector, the response is strongly anisotropic and stacking-dependent: AB reaches photocurrent density Jph ≈ 7.2 µA·mm−2 at 2.6 eV for in-plane light versus ≈ 2.9 µA·mm−2 at 3.5 eV for out-of-plane, and exceeds BA by 1.5–1.8 times due to density of states advantages and Mo-d orbital selection rules. Bilayer Janus MoSSe therefore provides a reconfigurable platform for high-contrast memory and polarization-sensitive photodetection. Full article
(This article belongs to the Special Issue Emerging 2D Materials for Future Nanoelectronics)
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14 pages, 2629 KB  
Article
Implementation of 2-Bit Channel Quantization for the STT-MRAM with Low-Reading-Margin MTJ
by Yecheng Yang, Yitong Lai, Pingping Chen and Shaohao Wang
Electronics 2026, 15(6), 1250; https://doi.org/10.3390/electronics15061250 - 17 Mar 2026
Viewed by 517
Abstract
As the process node is scaled down, the spin-transfer-torque magnetic random-access memory (STT-MRAM) exhibits higher memory density than the static random-access memory (SRAM), making it one of the more promising successors of the low-level on-chip cache memory. However, the low read margin (RM) [...] Read more.
As the process node is scaled down, the spin-transfer-torque magnetic random-access memory (STT-MRAM) exhibits higher memory density than the static random-access memory (SRAM), making it one of the more promising successors of the low-level on-chip cache memory. However, the low read margin (RM) of the magnetic tunnel junction (MTJ) in STT-MRAM can limit the achievable read accuracy. We implemented 2-bit channel quantization for error-correcting code (ECC) schemes and explored the trade-offs between improved read accuracy and factors such as circuit area, power consumption, and latency. The proposed quantization scheme consists of a sensing amplifier-based 2-bit quantizer and MTJ resistor-based soft-decision thresholds. Compared to 1-bit channel quantization using the Bose–Chaudhuri–Hocquenghem (BCH) code, the proposed 2-bit quantization architecture achieves a fourfold reduction in frame error rate (FER) from 8.0×104 to 2.0×104 when paired with polar codes and successive cancellation (SC) decoding. Additionally, this approach results in decoding complexity that is only 1/13th of that required for BCH at a 0.7 code rate. Full article
(This article belongs to the Special Issue Innovation in Advanced Integrated Circuit Design and Application)
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12 pages, 1189 KB  
Article
Engineering Correlation-Driven Magnetism by Atomic Substitution in Metal-Free Phenalenyl-Based Two-Dimensional Polymers
by Shiru Yang, Xin Guo, Jing Wang, Bin Shao and Xu Zuo
Molecules 2026, 31(5), 897; https://doi.org/10.3390/molecules31050897 - 8 Mar 2026
Viewed by 635
Abstract
Metal-free two-dimensional (2D) polymers built from open-shell π-conjugated units offer a promising platform for realizing correlation-driven magnetism without transition metal elements. Here, we present a systematic first-principles study of phenalenyl-based 2D polymers that elucidates how atomic-level chemical substitution controls magnetic order through the [...] Read more.
Metal-free two-dimensional (2D) polymers built from open-shell π-conjugated units offer a promising platform for realizing correlation-driven magnetism without transition metal elements. Here, we present a systematic first-principles study of phenalenyl-based 2D polymers that elucidates how atomic-level chemical substitution controls magnetic order through the interplay of electronic correlation and sublattice symmetry. Combining density functional theory with an effective tight-binding and Hubbard model analysis, we show that atomic substitution with boron or nitrogen on phenalenyl building blocks acts as a sublattice-resolved tuning knob for both the ratio of on-site Coulomb interaction to inter-site hopping (U/t) and the relative on-site energies of the two sublattices. Sublattice-asymmetric substitution with boron or nitrogen breaks sublattice equivalence and drives the system from an antiferromagnetic Mott-insulating state into spin-polarized semiconducting phases with pronounced spin-dependent gaps. In contrast, uniform substitution on both sublattices preserves symmetry and yields nonmagnetic metallic states characterized by rigid band shifts rather than correlation-driven spin polarization. These results establish a unified microscopic framework in which electronic correlations and sublattice symmetry emerge as cooperative yet independently tunable parameters, providing general design principles for metal-free 2D π-conjugated materials with tailored magnetic and spintronic functionalities. Full article
(This article belongs to the Section Physical Chemistry)
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10 pages, 1096 KB  
Article
The Modulation of Magnetic Properties in 1T-ZrS2 Monolayer via Nonmetal Doping and Strain Engineering
by Shengwu Yuan, Xiaoli Tong, Lei Li, Xianpei Ren, Xingyi Tan, Qiang Li and Hui Xiang
Symmetry 2026, 18(3), 395; https://doi.org/10.3390/sym18030395 - 24 Feb 2026
Cited by 1 | Viewed by 570
Abstract
Two-dimensional magnetic materials with weak spin-orbit coupling would endow them with great potential for applications in low-power spintronic logic devices. In this work, the stability and magnetism of nonmetal (N, O, F, P) doped 1T-ZrS2 monolayers is systematically studied by using first [...] Read more.
Two-dimensional magnetic materials with weak spin-orbit coupling would endow them with great potential for applications in low-power spintronic logic devices. In this work, the stability and magnetism of nonmetal (N, O, F, P) doped 1T-ZrS2 monolayers is systematically studied by using first principles calculations based on density functional theory. Pristine ZrS2 monolayer is a nonmagnetic semiconductor with an indirect band gap of 1.15 eV. Among the configurations of nonmetal-atom adsorption, substitutional doping, and vacancy defects, fluorine adsorption on the ZrS2 monolayer is regarded as an optimal doping strategy. At the concentration of 11.11% in F-adsorbed ZrS2, the spontaneous magnetization of F-adsorbed ZrS2 monolayer occurs at the ground state with the stable magnetic states; the magnetic moments are about 0.674 μB, which mainly originates from the hybridization between the p-orbitals of S atoms and F atoms (0.315 μB) and d-orbitals of Zr atoms (0.323 μB). Moreover, the F-adsorbed ZrS2 monolayer under 0–4% strain delivers consistently low spin polarization energy with stable p-d hybridization, offering their promising potential for their practical applications in low-power spintronic devices. Full article
(This article belongs to the Section F: Engineering and Materials)
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20 pages, 3311 KB  
Article
DFT Calculation of the Electronic Properties of Cubic Ti3Sb Crystals with Adsorbed and/or Partially Substituted Nitrogen
by Mirsalim M. Asadov, Solmaz N. Mustafaeva and Saida O. Mammadova
Alloys 2026, 5(1), 1; https://doi.org/10.3390/alloys5010001 - 24 Dec 2025
Viewed by 1046
Abstract
Intermetallic alloys based on A15-type compounds, including cubic Ti3Sb, attract increasing interest due to their tunable electronic properties and potential for surface-related functional applications. Here, the interaction of nitrogen with Ti3Sb is systematically investigated using spin-polarized density functional theory [...] Read more.
Intermetallic alloys based on A15-type compounds, including cubic Ti3Sb, attract increasing interest due to their tunable electronic properties and potential for surface-related functional applications. Here, the interaction of nitrogen with Ti3Sb is systematically investigated using spin-polarized density functional theory within the GGA-PBE approximation. Nitrogen adsorption was analyzed on the Ti3Sb (111), (100), and (110) surfaces by considering top, bridge, and hollow sites at different surface coverages. Low nitrogen coverage was found to minimize lateral adsorbate interactions, allowing reliable evaluation of single-atom adsorption energies. Among the studied configurations, nitrogen adsorption at the hollow site of the Ti3Sb (111) surface is energetically most favorable. In addition, partial substitution of Ti or Sb atoms by nitrogen in Ti3Sb supercells was examined to assess its effect on bulk electronic properties. Nitrogen incorporation leads to pronounced modifications of the electronic band structure, density of states, and local magnetic moments, with a strong dependence on crystallographic direction. The calculated results reveal distinct electronic anisotropies originating from direction-dependent band dispersion and associated effective carrier masses. These findings clarify the role of nitrogen in tailoring both surface and bulk electronic characteristics of Ti3Sb and provide a theoretical basis for the targeted design of A15-type intermetallic materials for sensing, catalytic, and energy-related applications. Full article
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40 pages, 9996 KB  
Review
Optical Spin Angular Momentum: Properties, Topologies, Detection and Applications
by Shucen Liu, Xi Xie, Peng Shi and Yijie Shen
Nanomaterials 2025, 15(23), 1798; https://doi.org/10.3390/nano15231798 - 28 Nov 2025
Cited by 4 | Viewed by 2095
Abstract
Spin angular momentum is a fundamental dynamical property of elementary particles and fields, playing a critical role in light–matter interactions. In optical studies, the optical spin angular momentum is closely linked to circular polarization. Research on the interaction between optical spin and matter [...] Read more.
Spin angular momentum is a fundamental dynamical property of elementary particles and fields, playing a critical role in light–matter interactions. In optical studies, the optical spin angular momentum is closely linked to circular polarization. Research on the interaction between optical spin and matter or structures has led to numerous novel optical phenomena and applications, giving rise to the emerging field of spin optics. Historically, researchers primarily focused on longitudinal optical spin aligned parallel to the mean wavevector. In recent years, investigations into the spin–orbit coupling properties of confined fields—such as focused beams, guided waves, and evanescent waves—have revealed a new class of optical spin oriented perpendicular to the mean wavevector, referred to as optical transverse spin. In the optical near-field, such transverse spins arise from spatial variations in the momentum density of confined electromagnetic waves, where strong coupling between spin and orbital angular momenta leads to various topological spin structures and properties. Several reviews on optical transverse spin have been published in recent years, systematically introducing its fundamental concepts and the configurations that generate it. In this review, we detail recent advances in spin optics from three perspectives: theory, experimental techniques, and applications, with a particular emphasis on the fundamental physics of transverse spin and the resulting topological structures and characteristics. The conceptual and theoretical framework of spin optics is expected to significantly support further exploration of optical spin-based applications in fields such as optics imaging, topological photonics, metrology, and quantum technologies. Furthermore, these principles can be extended to general classical wave systems, including fluidic, acoustic, and gravitational waves. Full article
(This article belongs to the Special Issue Advanced Nanomaterials for Photonics, Plasmonics and Metasurfaces)
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18 pages, 3100 KB  
Article
First-Principles Investigation of Zr-Based Equiatomic Quaternary Heusler Compounds Under Hydrostatic Pressure for Spintronics Applications
by Xiaoli Yuan, Sicong Liu, Peng Wan, Zhenjun Zhang and Chengjun Tao
Nanomaterials 2025, 15(23), 1796; https://doi.org/10.3390/nano15231796 - 28 Nov 2025
Viewed by 820
Abstract
The first-principles method using density functional theory (DFT) reveals the mechanics, electronic structure, and magnetic properties of six Zr-based equiatomic quaternary Heusler compounds and their transformation under hydrostatic pressure. The results show that these compounds maintain mechanical stability under hydrostatic pressures of 0–100 [...] Read more.
The first-principles method using density functional theory (DFT) reveals the mechanics, electronic structure, and magnetic properties of six Zr-based equiatomic quaternary Heusler compounds and their transformation under hydrostatic pressure. The results show that these compounds maintain mechanical stability under hydrostatic pressures of 0–100 GPa, and the ductility of all the alloys is improved except ZrCrFeGe. In the ground state structure, ZrVFeAl and ZrCrFeGe are half metals, ZrVCoAl and ZrCrFeAl are spin gapless semiconductors, while ZrCrMnAl and ZrMnFeAl are regarded as nearly half metals. ZrVFeAl, ZrVCoAl, ZrCrFeAl, and ZrCrFeGe have high spin polarization and satisfy the Slater–Pauling rule, and their spin-flip band gaps are 0.43 eV, 0.35 eV, 0.14 eV, and 0.11 eV, respectively. These half-metallic compounds maintain half-metallicity within a certain pressure range, while spin gapless semiconductors (SGS) complete the SGS~half-metal~near-half-metal transition under hydrostatic pressure. These half-metallic compounds and spin gapless semiconductors are ideal candidates for spintronic applications. Full article
(This article belongs to the Section Theory and Simulation of Nanostructures)
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