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Keywords = itinerant magnets

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17 pages, 943 KB  
Article
Four-Sublattice Chiral Ordering and Emergent Multipole Degrees of Freedom on a Triangular Lattice
by Satoru Hayami
Crystals 2026, 16(2), 91; https://doi.org/10.3390/cryst16020091 - 28 Jan 2026
Abstract
Chiral magnetic orderings in itinerant magnets have recently attracted considerable attention as a source of emergent electromagnetic phenomena such as topological Hall effects and magnetoelectric couplings. In this study, we investigate emergent multipole degrees of freedom arising from chiral magnetic orderings on a [...] Read more.
Chiral magnetic orderings in itinerant magnets have recently attracted considerable attention as a source of emergent electromagnetic phenomena such as topological Hall effects and magnetoelectric couplings. In this study, we investigate emergent multipole degrees of freedom arising from chiral magnetic orderings on a two-dimensional triangular lattice. Focusing on a four-sublattice spin configuration characterized by noncoplanar spin textures, we demonstrate that various types of multipoles, such as magnetic dipoles and electric toroidal dipoles, naturally emerge even in the absence of relativistic spin–orbit coupling. By employing a microscopic tight-binding model, we classify the resulting multipole moments and clarify their relationships to the underlying chiral spin texture. We further explore how spin–orbit coupling modifies these multipole characters, leading to additional uniform responses. The results provide a unified framework connecting noncollinear magnetic orderings and emergent multipole phenomena, offering insights into unconventional cross-correlation phenomena in itinerant chiral magnets. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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20 pages, 3528 KB  
Article
Sextuple-Q Spin States in Centrosymmetric Hexagonal Magnets
by Satoru Hayami
Magnetism 2026, 6(1), 4; https://doi.org/10.3390/magnetism6010004 - 29 Dec 2025
Viewed by 242
Abstract
We theoretically investigate multiple-Q instabilities in centrosymmetric hexagonal magnets, formulated as superpositions of independent six ordering wave vectors related by sixfold rotational and mirror symmetries. By employing a spin model that incorporates biquadratic interactions and an external magnetic field, we establish a [...] Read more.
We theoretically investigate multiple-Q instabilities in centrosymmetric hexagonal magnets, formulated as superpositions of independent six ordering wave vectors related by sixfold rotational and mirror symmetries. By employing a spin model that incorporates biquadratic interactions and an external magnetic field, we establish a comprehensive low-temperature phase diagram hosting single-Q, double-Q, triple-Q, and sextuple-Q states, as well as skyrmion crystals with topological charges of one and two. The field evolution of the magnetization, scalar spin chirality, and finite wave-vector magnetic amplitudes reveals a hierarchical buildup of multiple-Q order, accompanied by first-order transitions between topologically distinct and trivial phases. At large biquadratic coupling, all six symmetry-related ordering wave vectors coherently participate, giving rise to two sextuple-Q states under magnetic fields and to another spontaneous sextuple-Q state even at zero field. The latter zero-field sextuple-Q state represents a fully developed sixfold interference pattern stabilized solely by the biquadratic interaction, characterized by alternating skyrmion- and antiskyrmion-like cores with vanishing uniform scalar spin chirality. These findings establish a unified framework for understanding hierarchical multiple-Q ordering and demonstrate that the interplay between bilinear and biquadratic interactions under hexagonal symmetry provides a generic route to complex noncoplanar magnetism in centrosymmetric itinerant systems. Full article
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17 pages, 1336 KB  
Article
Transitions from Coplanar Double-Q to Noncoplanar Triple-Q States Induced by High-Harmonic Wave-Vector Interaction
by Satoru Hayami
Condens. Matter 2025, 10(4), 60; https://doi.org/10.3390/condmat10040060 - 28 Nov 2025
Viewed by 430
Abstract
We theoretically investigate topological transitions between coplanar and noncoplanar magnetic states in centrosymmetric itinerant magnets on a square lattice. A canonical effective spin model incorporating bilinear and biquadratic exchange interactions at finite wave vectors is analyzed to elucidate the emergence of multiple-Q [...] Read more.
We theoretically investigate topological transitions between coplanar and noncoplanar magnetic states in centrosymmetric itinerant magnets on a square lattice. A canonical effective spin model incorporating bilinear and biquadratic exchange interactions at finite wave vectors is analyzed to elucidate the emergence of multiple-Q magnetic orders. By taking into account high-harmonic wave-vector interactions, we demonstrate that a coplanar double-Q spin texture continuously evolves into a noncoplanar triple-Q state carrying a finite scalar spin chirality. The stability of these multiple-Q states is examined using simulated annealing as a function of the relative strengths of the high-harmonic coupling, the biquadratic interaction, and the external magnetic field. The resulting phase diagrams reveal a competition between double-Q and triple-Q states, where the noncoplanar triple-Q phase is stabilized through the cooperative effect of the high-harmonic and biquadratic interactions. Real-space spin textures, spin structure factors, and scalar spin chirality distributions are analyzed to characterize the distinct magnetic phases and the topological transitions connecting them. These findings provide a microscopic framework for understanding the emergence of noncoplanar magnetic textures driven by the interplay between two- and four-spin interactions in centrosymmetric itinerant magnets. Full article
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19 pages, 2329 KB  
Article
Vortex Crystal Stabilized by the Competition Between Multi-Spin and Out-of-Plane Dzyaloshinskii–Moriya Interactions
by Satoru Hayami
Crystals 2025, 15(10), 868; https://doi.org/10.3390/cryst15100868 - 3 Oct 2025
Viewed by 841
Abstract
Multiple-Q magnetic states encompass a broad class of noncollinear and noncoplanar spin textures generated by the superposition of spin density waves. In this study, we theoretically explore the emergence of vortex crystals formed by multiple-Q spin density waves on a two-dimensional [...] Read more.
Multiple-Q magnetic states encompass a broad class of noncollinear and noncoplanar spin textures generated by the superposition of spin density waves. In this study, we theoretically explore the emergence of vortex crystals formed by multiple-Q spin density waves on a two-dimensional triangular lattice with D3h point group symmetry. Using simulated annealing applied to an effective spin model, we demonstrate that the synergy among the easy-plane single-ion anisotropy, the biquadratic interaction, and the out-of-plane Dzyaloshinsky–Moriya interaction defined in momentum space can give rise to a variety of double-Q and triple-Q vortex crystals. We further examine the role of easy-plane single-ion anisotropy in triple-Q vortex crystals and show that weakening the anisotropy drives topological transitions into skyrmion crystals with skyrmion numbers ±1 and ±2. The influence of an external magnetic field is also analyzed, revealing a field-induced phase transition from vortex crystals to single-Q conical spirals. These findings highlight the crucial role of out-of-plane Dzyaloshinskii–Moriya interactions in stabilizing unconventional vortex crystals, which cannot be realized in systems with purely polar or chiral symmetries. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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31 pages, 3890 KB  
Review
A Review on the Magnetovolume Effect of the Full Heusler Alloys Ni2MnZ (Z = In, Sn, Sb)
by Takeshi Kanomata, Xiao Xu, Takuo Sakon, Yuki Nagata, Shin Imada, Toshihiro Omori, Ryosuke Kainuma, Tetsujiro Eto, Yoshiya Adachi, Takumi Kihara, Yasushi Amako, Masaaki Doi and Yoshiya Uwatoko
Metals 2025, 15(2), 215; https://doi.org/10.3390/met15020215 - 18 Feb 2025
Cited by 3 | Viewed by 2482
Abstract
The full Heusler alloys Ni2MnZ (Z = In, Sn, Sb) exhibit ferromagnetic properties with a Curie temperature (TC) above room temperature. The magnetic properties of Ni2MnZ (Z = In, Sn, Sb) were studied through a combination [...] Read more.
The full Heusler alloys Ni2MnZ (Z = In, Sn, Sb) exhibit ferromagnetic properties with a Curie temperature (TC) above room temperature. The magnetic properties of Ni2MnZ (Z = In, Sn, Sb) were studied through a combination of experiments and band calculations under ambient and elevated pressures. The main results of this study open up further prospects for controlling the magnetic properties of the multifunctional Heusler alloys Ni2Mn1+xZ1−x (Z = In, Sn, Sb) and their practical application. Full article
(This article belongs to the Section Metallic Functional Materials)
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14 pages, 1485 KB  
Article
Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
by Satoru Hayami
Magnetochemistry 2024, 10(10), 78; https://doi.org/10.3390/magnetochemistry10100078 - 16 Oct 2024
Viewed by 1625
Abstract
In this study, we investigate the stability of a magnetic skyrmion crystal with short-period magnetic modulations in a centrosymmetric body-centered tetragonal system. By performing the simulated annealing for the spin model, incorporating the effects of the biquadratic interaction and high-harmonic wave–vector interaction in [...] Read more.
In this study, we investigate the stability of a magnetic skyrmion crystal with short-period magnetic modulations in a centrosymmetric body-centered tetragonal system. By performing the simulated annealing for the spin model, incorporating the effects of the biquadratic interaction and high-harmonic wave–vector interaction in momentum space, we find that the double-Q square skyrmion crystal consisting of two spin density waves is stabilized in an external magnetic field. We also show that double-Q states appear in both low- and high-field regions; the low-field spin configuration is characterized by an anisotropic double-Q modulation consisting of a superposition of the spiral wave and sinusoidal wave, while the high-field spin configuration is characterized by an isotropic double-Q modulation consisting of a superposition of two sinusoidal waves. Furthermore, we show that the obtained multiple-Q instabilities can be realized for various ordering wave vectors. The results provide the possibility of realizing the short-period skyrmion crystals under the body-centered tetragonal lattice structure. Full article
(This article belongs to the Special Issue Spin and Charge Transport in Novel Quantum and Topological Materials)
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14 pages, 1895 KB  
Article
Skyrmion Crystal Induced by Four-Spin Interactions in Itinerant Triangular Magnets
by Satoru Hayami
Magnetism 2024, 4(3), 281-294; https://doi.org/10.3390/magnetism4030018 - 6 Sep 2024
Cited by 1 | Viewed by 2293
Abstract
We investigate the emergence of magnetic skyrmion crystals with swirling topological spin textures in itinerant magnets with an emphasis on momentum-resolved multi-spin interactions. By performing the simulated annealing for the effective spin model with the two-spin and four-spin interactions on a two-dimensional triangular [...] Read more.
We investigate the emergence of magnetic skyrmion crystals with swirling topological spin textures in itinerant magnets with an emphasis on momentum-resolved multi-spin interactions. By performing the simulated annealing for the effective spin model with the two-spin and four-spin interactions on a two-dimensional triangular lattice, we show that various types of four-spin interactions become the microscopic origin of the magnetic skyrmion crystal with the skyrmion numbers of one and two. We find that the four-spin interactions between the different wave vectors lead to the skyrmion crystal with the skyrmion number of one, whereas those at the same wave vectors lead to the skyrmion crystals with the skyrmion number of one and two. Our results indicate that the multi-spin interactions arising from the itinerant nature of electrons provide rich topological spin textures in magnetic metals. Full article
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26 pages, 14851 KB  
Article
Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
by Shoji Yamamoto and Takashi Inoue
Crystals 2024, 14(8), 702; https://doi.org/10.3390/cryst14080702 - 1 Aug 2024
Cited by 1 | Viewed by 2071
Abstract
Employing the spin-wave formalism within and beyond the harmonic-oscillator approx-imation, we study the dynamic structure factors of spin-12 nearest-neighbor quantum Heisenberg antiferromagnets on two-dimensional quasiperiodic lattices with particular emphasis on a mag-netic analog to the well-known confined states of a hopping [...] Read more.
Employing the spin-wave formalism within and beyond the harmonic-oscillator approx-imation, we study the dynamic structure factors of spin-12 nearest-neighbor quantum Heisenberg antiferromagnets on two-dimensional quasiperiodic lattices with particular emphasis on a mag-netic analog to the well-known confined states of a hopping Hamiltonian for independent electrons on a two-dimensional Penrose lattice. We present comprehensive calculations on the C5v Penrose tiling in comparison with the C8v Ammann–Beenker tiling, revealing their decagonal and octagonal antiferromagnetic microstructures. Their dynamic spin structure factors both exhibit linear soft modes emergent at magnetic Bragg wavevectors and have nearly or fairly flat scattering bands, signifying magnetic excitations localized in some way, at several different energies in a self-similar manner. In particular, the lowest-lying highly flat mode is distinctive of the Penrose lattice, which is mediated by its unique antiferromagnons confined within tricoordinated sites only, unlike their itinerant electron counterparts involving pentacoordinated, as well as tricoordinated, sites. Bringing harmonic antiferromagnons into higher-order quantum interaction splits, the lowest-lying nearly flat scattering band in two, each mediated by further confined antiferromagnons, which is fully demonstrated and throughly visualized in the perpendicular as well as real spaces. We disclose superconfined antiferromagnons on the two-dimensional Penrose lattice. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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13 pages, 4443 KB  
Article
Electronic State-Regulated Magnetic Phenomena in Single-Crystal FeSe
by Eman A. Alghamdi and Refka Sai
Crystals 2024, 14(7), 630; https://doi.org/10.3390/cryst14070630 - 9 Jul 2024
Cited by 1 | Viewed by 2003
Abstract
In contrast to the observed high-temperature superconductivity in monolayer FeSe/SrTiO3 films, akin to CoSb/SrTiO3, the bulk counterpart, FeSe, does not exhibit superconductivity even under elevated pressure, and its magnetic characteristics remain subject to debate. This [...] Read more.
In contrast to the observed high-temperature superconductivity in monolayer FeSe/SrTiO3 films, akin to CoSb/SrTiO3, the bulk counterpart, FeSe, does not exhibit superconductivity even under elevated pressure, and its magnetic characteristics remain subject to debate. This investigation delves into the electrical and magnetic attributes, alongside X-ray photoelectron spectroscopy (XPS) analysis, of FeSe mono-crystal. Magnetic and electrical transport assessments indicate that FeSe demonstrates characteristics of a Pauli paramagnetic metal within non-Fermi liquid traits. XPS analysis further reveals that the Fe and Se pair in FeSe exist in a zero-valence state, forming a predominantly metallic-bonded alloy. The Pauli paramagnetism observed in FeSe is ascribed to its itinerant electrons. The comprehension of the electronic states in FeSe mono-crystal not only clarifies its lack of magnetic characteristics but also paves the way for exploring potential high-temperature superconductivity. Full article
(This article belongs to the Section Materials for Energy Applications)
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8 pages, 2139 KB  
Communication
In Situ Tuning of Magnetism in Fe3GeTe2 via Argon Ions Irradiation
by Shan Wang, Chuanwu Cao and Jian-Hao Chen
Magnetochemistry 2023, 9(5), 125; https://doi.org/10.3390/magnetochemistry9050125 - 9 May 2023
Cited by 2 | Viewed by 2629
Abstract
We report the continuous argon ions irradiation of itinerant Fe3GeTe2, a two-dimensional ferromagnetic metal, with the modification to its transport properties measured in situ. Our results show that defects generated by argon ions irradiation can significantly weaken the [...] Read more.
We report the continuous argon ions irradiation of itinerant Fe3GeTe2, a two-dimensional ferromagnetic metal, with the modification to its transport properties measured in situ. Our results show that defects generated by argon ions irradiation can significantly weaken the magnetization (M) and coercive field (Hc) of Fe3GeTe2, demonstrating the tunable magnetism of this material. Specifically, at base temperature, we observed a reduction of M and Hc by up to 40% and 62.4%, respectively. After separating the contribution from different mechanisms based on the Tian-Ye-Jin (TYJ) scaling relation, it’s the skew scattering that dominates the contribution to anomalous Hall effect in argon ions irradiated Fe3GeTe2. These findings highlight the potential of in situ transport modification as an effective method for tailoring the magnetic properties of two-dimensional magnetic materials, and provides new insights into the mechanisms underlying the tunable magnetism in Fe3GeTe2. Full article
(This article belongs to the Special Issue Advances in Magnetic Two Dimensional Materials)
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10 pages, 4247 KB  
Article
Synthesis and Crystal Structure of Zr3V3GeSn4
by Daniel Parks, Karim Niang, Yuri Janssen and Jack W. Simonson
Crystals 2023, 13(5), 744; https://doi.org/10.3390/cryst13050744 - 29 Apr 2023
Cited by 1 | Viewed by 2511
Abstract
Quantum fluctuations inherent in electronic systems positioned close to magnetic instabilities can lead to novel collective phenomena. One such material, β-Ti6Sn5, sits close to ferromagnetic (FM) instability and can be pushed to an itinerant FM-ordered state with only [...] Read more.
Quantum fluctuations inherent in electronic systems positioned close to magnetic instabilities can lead to novel collective phenomena. One such material, β-Ti6Sn5, sits close to ferromagnetic (FM) instability and can be pushed to an itinerant FM-ordered state with only minute magnetic or non-magnetic doping. The binary nature of this compound, however, limits the tuning variables that can be applied to study any emergent physics, which are likely to be sensitive to the introduction of chemical disorder.Accordingly, we grew high-quality single crystals of a new quaternary compound Zr3V3GeSn4 from a Sn-rich self flux, and determined the structure with single-crystal X-ray diffraction. Zr3V3GeSn4 forms in an ordered derivative of the hexagonal β-Ti6Sn5 structure with Zr and V atomic positions that show no indication of site interchange. Ge likewise occupies a single unique atomic position. The V site, which would be the one most likely to give rise to any magnetic character, is located at the center of a distorted octahedron of Sn, with such octahedra arranged in face-sharing chains along the crystallographic c axis, while the chains themselves are organized in a kagome geometry. Zr3V3GeSn4 represents the second known quaternary phase within this system, suggesting that other compounds with this structure type await discovery. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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13 pages, 600 KB  
Article
Spin and Orbital Symmetry Breakings Central to the Laser-Induced Ultrafast Demagnetization of Transition Metals
by Waldemar Töws, Gunnar Stegmann and G. M. Pastor
Symmetry 2023, 15(2), 457; https://doi.org/10.3390/sym15020457 - 9 Feb 2023
Cited by 2 | Viewed by 2107
Abstract
The role of spin and orbital rotational symmetry on the laser-induced magnetization dynamics of itinerant-electron ferromagnets was theoretically investigated. The ultrafast demagnetization of transition metals is shown to be the direct consequence of the fundamental breaking of these conservation laws in the electronic [...] Read more.
The role of spin and orbital rotational symmetry on the laser-induced magnetization dynamics of itinerant-electron ferromagnets was theoretically investigated. The ultrafast demagnetization of transition metals is shown to be the direct consequence of the fundamental breaking of these conservation laws in the electronic system, an effect that is inherent to the nature of spin-orbit and electron-lattice interactions. A comprehensive symmetry analysis is complemented by exact numerical calculations of the time evolution of optically excited ferromagnetic ground states in the framework of a many-body electronic Hamiltonian. Thus, quantitative relations are established between the strength of the interactions that break the rotational symmetries and the time scales that are relevant for the magnetization dynamics. Full article
(This article belongs to the Special Issue Chiral Symmetry and Spin Dynamics)
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16 pages, 1612 KB  
Article
Strongly Interacting Bose Polarons in Two-Dimensional Atomic Gases and Quantum Fluids of Polaritons
by Luis Fernando Cárdenas-Castillo and Arturo Camacho-Guardian
Atoms 2023, 11(1), 3; https://doi.org/10.3390/atoms11010003 - 29 Dec 2022
Cited by 7 | Viewed by 3703 | Correction
Abstract
Polarons are quasiparticles relevant across many fields in physics: from condensed matter to atomic physics. Here, we study the quasiparticle properties of two-dimensional strongly interacting Bose polarons in atomic Bose–Einstein condensates and polariton gases. Our studies are based on the non-self consistent T-matrix [...] Read more.
Polarons are quasiparticles relevant across many fields in physics: from condensed matter to atomic physics. Here, we study the quasiparticle properties of two-dimensional strongly interacting Bose polarons in atomic Bose–Einstein condensates and polariton gases. Our studies are based on the non-self consistent T-matrix approximation adapted to these physical systems. For the atomic case, we study the spectral and quasiparticle properties of the polaron in the presence of a magnetic Feshbach resonance. We show the presence of two polaron branches: an attractive polaron, a low-lying state that appears as a well-defined quasiparticle for weak attractive interactions, and a repulsive polaron, a metastable state that becomes the dominant branch at weak repulsive interactions. In addition, we study a polaron arising from the dressing of a single itinerant electron by a quantum fluid of polaritons in a semiconductor microcavity. We demonstrate the persistence of the two polaron branches whose properties can be controlled over a wide range of parameters by tuning the cavity mode. Full article
(This article belongs to the Special Issue Recent Trends on Quantum Fluctuations in Ultra-Cold Quantum Gases)
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7 pages, 4613 KB  
Article
Effects of the Substitution of 20% Nd for La or Doping with 20% C on the Magnetic Properties and Magnetocaloric Effect in LaFe11.5Si1.5 Compound
by Dengkui Zhang, Zhisheng Wu, Yan Li and Ruirui Wang
Coatings 2022, 12(4), 534; https://doi.org/10.3390/coatings12040534 - 15 Apr 2022
Cited by 5 | Viewed by 2000
Abstract
The effects of element substitution and element doping on the magnetic properties and magnetocaloric effect of the LaFe11.5Si1.5 compound were investigated. The crystals of the LaFe11.5Si1.5, La0.8Nd0.2Fe11.5Si1.5, and [...] Read more.
The effects of element substitution and element doping on the magnetic properties and magnetocaloric effect of the LaFe11.5Si1.5 compound were investigated. The crystals of the LaFe11.5Si1.5, La0.8Nd0.2Fe11.5Si1.5, and LaFe11.5Si1.5C0.2 compounds all showed cubic NaZn13-type structures, but the lattice of the La0.8Nd0.2Fe11.5Si1.5 shrank and the lattice of the LaFe11.5Si1.5C0.2 expanded. All three compounds had the characteristic of first-order magnetic transition due to the obvious itinerant-electron metamagnetic (IEM) transition occurring above Curie temperature (TC). For the LaFe11.5Si1.5, La0.8Nd0.2Fe11.5Si1.5, and LaFe11.5Si1.5C0.2 compounds, the TC were approximately 194 K, 188 K, and 232 K, respectively. Meanwhile, the maximum magnetic entropy changes (−ΔSM) under a magnetic field change of 0–3 T were approximately 18.7 J/kg·K, 22.8 J/kg·K, and 16.4 J/kg·K, respectively. The TC was mainly affected by the lattice constant. Furthermore, the −ΔSM was mainly affected by the latent heat of the first-order magnetic transition. Full article
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18 pages, 5470 KB  
Review
Thirty-Year Anniversary of κ-(BEDT-TTF)2Cu2(CN)3: Reconciling the Spin Gap in a Spin-Liquid Candidate
by Andrej Pustogow
Solids 2022, 3(1), 93-110; https://doi.org/10.3390/solids3010007 - 17 Feb 2022
Cited by 27 | Viewed by 6748
Abstract
In 1991 the layered organic compound κ-(BEDT-TTF)2Cu2(CN)3 with a triangular lattice was synthesized for the first time. Although, originally, the focus was on the superconducting properties under pressure, this frustrated Mott insulator has been the most promising [...] Read more.
In 1991 the layered organic compound κ-(BEDT-TTF)2Cu2(CN)3 with a triangular lattice was synthesized for the first time. Although, originally, the focus was on the superconducting properties under pressure, this frustrated Mott insulator has been the most promising quantum-spin-liquid candidate for almost two decades, widely believed to host gapless spin excitations down to T0. The recent observation of a spin gap rules out a gapless spin liquid with itinerant spinons and puts severe constraints on the magnetic ground state. This review evaluates magnetic, thermal transport, and structural anomalies around T=6 K. The opening of a spin gap yields a rapid drop of spin susceptibility, NMR Knight shift, spin-lattice relaxation rate, and μ-SR spin fluctuation rate, but is often concealed by impurity spins. The concomitant structural transition at T manifests in thermal expansion, THz phonons and 63Cu NQR relaxation. Based on the field dependence of T, a critical field of 30–60 T is estimated for the underlying spin-singlet state. Overall, the physical properties are remarkably similar to those of spin-Peierls compounds. Thus, a strong case is made that the ‘6K anomaly’ in κ-(BEDT-TTF)2Cu2(CN)3 is the transition to a valence-bond-solid state and it is suggested that such a scenario is rather the rule than the exception in materials with strong magnetic frustration. Full article
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