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Search Results (342)

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Keywords = chiral inducer

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11 pages, 6820 KB  
Article
Chiral Self-Assembly and Chiral Separation of Ext-TEB Molecules on Bi(111)
by Lei Liu, Zheng Wei, Min-Long Tao, Kai Sun, Ming-Xia Shi and Jun-Zhong Wang
Nanomaterials 2026, 16(7), 399; https://doi.org/10.3390/nano16070399 - 26 Mar 2026
Abstract
The two-dimensional chiral self-assembly and chiral separation of achiral Ext-TEB molecules on a Bi(111) surface were investigated using low-temperature scanning tunneling microscopy (LT-STM). At low coverage, the molecules self-assembled into chiral clusters. As the coverage increased, a monolayer film with a non-edge-sharing honeycomb [...] Read more.
The two-dimensional chiral self-assembly and chiral separation of achiral Ext-TEB molecules on a Bi(111) surface were investigated using low-temperature scanning tunneling microscopy (LT-STM). At low coverage, the molecules self-assembled into chiral clusters. As the coverage increased, a monolayer film with a non-edge-sharing honeycomb structure was formed. This supramolecular structure exhibited organizational chirality, accompanied by chiral separation. Upon annealing, part of the non-edge-sharing honeycomb structure transformed into a close-packed structure, while retaining the organizational chirality, supramolecular chirality, and pronounced chiral separation. Furthermore, applying a higher bias was found to induce a transition in the electronic state of the non-edge-sharing honeycomb structure, converting it into an edge-sharing honeycomb configuration. This study reveals that the chirality of 1,3,5-tris(4-ethynylphenyl) benzene (Ext-TEB) arises from the rotation of the side-chain phenyl rings, which is induced by the rotation of the molecular axis relative to the substrate lattice. This work presents a strategy for the preparation of chiral nanostructures from achiral molecules due to the spontaneous chiral symmetry generation. Full article
(This article belongs to the Special Issue Synthesis and Theory of Nanoscale Architectures)
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12 pages, 6000 KB  
Article
The Design of a Superchiral-Sensitive MCT Photodetector Based on Silicon Metasurfaces with Truncated Corners
by Xiaoming Wang, Longfeng Lv, Yuxiao Zou, Guofeng Song, Bo Cheng, Kunpeng Zhai and Hanxiao Shao
Photonics 2026, 13(4), 322; https://doi.org/10.3390/photonics13040322 - 26 Mar 2026
Abstract
The on-chip detection of circularly polarized light is pivotal for advancing applications in quantum optics, information processing, and spectroscopic sensing. However, conventional chiral metasurfaces often suffer from complex multilayer fabrication, material incompatibility, or modest performance, hindering their integration with photonic circuits. Here, we [...] Read more.
The on-chip detection of circularly polarized light is pivotal for advancing applications in quantum optics, information processing, and spectroscopic sensing. However, conventional chiral metasurfaces often suffer from complex multilayer fabrication, material incompatibility, or modest performance, hindering their integration with photonic circuits. Here, we introduce a monolithic all-silicon metasurface that overcomes these limitations through a singular structural innovation. By strategically truncating four corners of a conventional Z-shaped meta-atom, we induce a hybridization of optical modes that profoundly enhances chiral light–matter interaction. This deliberately engineered perturbation yields a colossal circular dichroism with an extinction ratio exceeding 66 dB, a performance that surpasses existing state-of-the-art designs by approximately three orders of magnitude. Furthermore, the proposed metasurface exhibits remarkable fabrication robustness, owing to its single-layer architecture and CMOS-compatible material. We demonstrate that this exceptional metasurface can be directly integrated with a Mercury Cadmium Telluride (MCT) photodetector to form a highly efficient, compact circular polarization detector. Our work provides a simple yet powerful paradigm for creating high-performance chiral photonic devices, paving the way for their widespread adoption in integrated optoelectronics. Full article
(This article belongs to the Special Issue Photonics Metamaterials: Processing and Applications, 2nd Edition)
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17 pages, 2910 KB  
Review
Harnessing Poly(9,9-dialkylfluorene-alt-benzothiadiazole) for Circularly Polarized Electroluminescence: Advances and Perspectives
by Mariacecilia Pasini and Umberto Giovanella
Materials 2026, 19(6), 1224; https://doi.org/10.3390/ma19061224 - 20 Mar 2026
Viewed by 164
Abstract
Circularly polarized (CP) organic light-emitting diodes (CP-OLEDs) have attracted considerable attention due to their promising applications in next-generation display systems, optical data transmission, and quantum computing, and their potential roles in medical devices. Achieving efficient and tunable CP emission remains a significant challenge, [...] Read more.
Circularly polarized (CP) organic light-emitting diodes (CP-OLEDs) have attracted considerable attention due to their promising applications in next-generation display systems, optical data transmission, and quantum computing, and their potential roles in medical devices. Achieving efficient and tunable CP emission remains a significant challenge, prompting the development of various strategies that leverage organic semiconductors. Notably, certain classes of materials now consistently deliver CP polarization at levels suitable for technological applications. Among these, conjugated polymers, particularly the copolymer poly(9,9-dialkylfluorene-alt-benzothiadiazole) (PFBT), stand out for their exceptional optoelectronic properties, ease of processing, and adaptability to produce CP emission. PFBT has played diverse roles within CP-OLED devices, enabling innovative architectural solutions. This review explores principal strategies for integrating PFBT into CP-OLED architectures, drawing upon findings from the recent scientific literature. By consolidating current knowledge and identifying unresolved issues, this work aims to inspire further research into the development of solution-processable, high-performance and tunable CP-OLEDs based on PFBT and conjugated polymers in general. Full article
(This article belongs to the Section Optical and Photonic Materials)
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13 pages, 2648 KB  
Article
Tunable Electromagnetically and Optomechanically Induced Transparency in a Spinning Optomechanical System
by Haoliang Hu, Jinting Li, Xiaofei Li, Han Wang, Haoan Zhang, Yue Yang, Shanshan Chen and Shuhang You
Entropy 2026, 28(3), 324; https://doi.org/10.3390/e28030324 - 13 Mar 2026
Viewed by 166
Abstract
We investigate the optical response properties of an atom-assisted spinning optomechanical system, in which a spinning optical resonator is coupled simultaneously to a two-level atomic ensemble and a mechanical resonator driven by a weak pump field. Remarkably, we demonstrate that by simply reversing [...] Read more.
We investigate the optical response properties of an atom-assisted spinning optomechanical system, in which a spinning optical resonator is coupled simultaneously to a two-level atomic ensemble and a mechanical resonator driven by a weak pump field. Remarkably, we demonstrate that by simply reversing the rotation direction, the system can be switched between a low-absorption electromagnetic and optomechanically induced transparency state and a high-absorption state, constituting a form of non-reciprocal optical control at the quantum level. Furthermore, by tuning the phase difference between the mechanical pump and the probe field, direction-dependent switching between absorption and gain is achieved. These non-reciprocal effects originate from the Sagnac-induced frequency shift in the optical mode, which leads to distinct optomechanical and atom–cavity couplings for opposite spinning directions. We also show that the absorption spectrum can be modulated by the angular velocity and the atomic number. Our results indicate that the optical properties of the hybrid system can be manipulated via the angular velocity, phase difference, and atom number, with potential applications in chiral photonic communications. Full article
(This article belongs to the Special Issue Quantum Dynamics in Hybrid Systems)
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15 pages, 2257 KB  
Article
Enhanced Circularly Polarized Luminescence and Thermal Stability of Eu(D-facam)3 in Imidazolium-Based Ionic Liquid EMImOAc
by Arata Suzuki, Ziying Li, Norihisa Kobayashi and Kazuki Nakamura
Physchem 2026, 6(1), 13; https://doi.org/10.3390/physchem6010013 - 25 Feb 2026
Viewed by 297
Abstract
The optical and thermal behaviors of a chiral europium(III) β-diketonate complex, Eu(D-facam)3 (facam: 3-(trifluoromethylhydroxymethylene)-(+)-camphorate), were examined in the presence of imidazolium-based ionic liquid 1-ethyl-3-methylimidazolium acetate (EMImOAc). The addition of EMImOAc to Eu(D-facam)3 butanol solutions enhanced their luminescence [...] Read more.
The optical and thermal behaviors of a chiral europium(III) β-diketonate complex, Eu(D-facam)3 (facam: 3-(trifluoromethylhydroxymethylene)-(+)-camphorate), were examined in the presence of imidazolium-based ionic liquid 1-ethyl-3-methylimidazolium acetate (EMImOAc). The addition of EMImOAc to Eu(D-facam)3 butanol solutions enhanced their luminescence intensity by up to 74-fold and induced clear circularly polarized luminescence (gCPL = −0.28 for the 5D07F1 transition). When Eu(D-facam)3 was dissolved directly in EMImOAc, the Eu(III) complex also exhibited distinct circularly polarized luminescence (gCPL = −0.22). In addition, compared with the thermal stability of luminescence in 1-butanol, the ionic liquid solution exhibited superior thermal robustness, retaining approximately 30% of its room-temperature emission intensity even at 100 °C. Arrhenius analysis of the solutions was performed using their emission intensity and lifetime to evaluate the emission stability at higher-temperature regions near 70–100 °C. In EMImOAc, the thermal acceleration of the nonradiative decay of the ligands was suppressed; thus, the energy transfer from the ligand to the Eu(III) ion was stabilized even at higher temperatures. These results highlight the role of ionic liquids as effective media toward achieving thermally robust and highly emissive chiral Eu(III) systems. Full article
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15 pages, 2134 KB  
Article
A Novel Approach for the Synthesis of Peripherally Acting Dual Target Inhibitor of Cannabinoid-1 (CB1 Receptor) and Inducible Nitric Oxide Synthase (iNOS) (S-MRI-1867/Zevaquenabant)
by Malliga R. Iyer
Molecules 2026, 31(3), 515; https://doi.org/10.3390/molecules31030515 - 2 Feb 2026
Viewed by 510
Abstract
Zevaquenabant (S-MRI-1867) is a clinical-stage agent that is a peripherally restricted, potent antagonist of CB1R and an inhibitor of inducible nitric oxide synthase. A novel synthetic route to this highly selective active pharmaceutical agent is described in this paper. [...] Read more.
Zevaquenabant (S-MRI-1867) is a clinical-stage agent that is a peripherally restricted, potent antagonist of CB1R and an inhibitor of inducible nitric oxide synthase. A novel synthetic route to this highly selective active pharmaceutical agent is described in this paper. This route makes use of rationally installed chiral thio-substituted leaving group derived from a Bunte-salt reaction approach to yield diastereomeric compounds which are further processed to enantiopure compounds. The method will enable a rapid assembly of a variety of chiral sulfonyl amino compounds in this series. Full article
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17 pages, 7102 KB  
Article
A Recyclable Thermoresponsive Catalyst for Highly Asymmetric Henry Reactions in Water
by Meng Wang, Yaoyao Zhang, Zifan Jiang, Yanhui Zhong, Xinzheng Qu, Xingling Li, Bo Xiong, Xianxiang Liu and Lei Zhu
Catalysts 2026, 16(2), 132; https://doi.org/10.3390/catal16020132 - 1 Feb 2026
Viewed by 378
Abstract
The synthesis of enantiomerically pure chiral β-nitroalcohols is a crucial objective in asymmetric catalysis. In order to efficiently obtain such chiral products, we developed a series of thermoresponsive, oxazoline–copper catalysts (CuII-PNxFeyOz) via sequential reversible [...] Read more.
The synthesis of enantiomerically pure chiral β-nitroalcohols is a crucial objective in asymmetric catalysis. In order to efficiently obtain such chiral products, we developed a series of thermoresponsive, oxazoline–copper catalysts (CuII-PNxFeyOz) via sequential reversible addition–fragmentation chain transfer (RAFT) polymerization. These catalysts can self-assemble in water into single-chain nanoparticles (SCNPs) with biomimetic behavior, in which intramolecular hydrophobic and metal-coordination interactions generate a confined hydrophobic cavity. Comprehensive characterization by FT-IR, TEM, DLS, CD, CA, and ICP analysis confirmed the nanostructure and composition. When applied to the aqueous-phase asymmetric Henry reaction between nitromethane and 4-nitrobenzaldehyde, the optimal catalyst (2.0 mol%) achieved a quantitative yield (96%) with excellent enantioselectivity (up to 99%) within 12 h. Furthermore, the thermosensitive poly(N-isopropylacrylamide, NIPAAm) block enabled facile catalyst recovery through temperature-induced precipitation above its lower critical solution temperature (LCST). This work presents an efficient and recyclable biomimetic catalytic system, offering a novel strategy for designing sustainable chiral catalysts for green organic synthesis. Full article
(This article belongs to the Special Issue Catalysis in Polymerizations)
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18 pages, 2671 KB  
Article
Combined Neutron and X-Ray Diffraction Study of Ibuprofen and Atenolol Adsorption in Zeolite Y
by Annalisa Martucci, Maura Mancinelli, Tatiana Chenet, Luca Adami, Caterina D’anna, Emmanuelle Suard and Luisa Pasti
Molecules 2026, 31(2), 384; https://doi.org/10.3390/molecules31020384 - 22 Jan 2026
Viewed by 293
Abstract
The widespread occurrence of pharmaceutical residues in aquatic environments necessitates the development of advanced porous materials for efficient remediation. This study investigates the adsorption mechanisms of ibuprofen and atenolol within the high-silica zeolite Y. Batch adsorption experiments demonstrated significant uptake, with loading capacities [...] Read more.
The widespread occurrence of pharmaceutical residues in aquatic environments necessitates the development of advanced porous materials for efficient remediation. This study investigates the adsorption mechanisms of ibuprofen and atenolol within the high-silica zeolite Y. Batch adsorption experiments demonstrated significant uptake, with loading capacities of 191.6 mg/g for ibuprofen and 273.0 mg/g for atenolol, confirming the material’s effectiveness. Using a combination of neutron and X-ray powder diffraction, complemented by Rietveld refinement and simulated annealing algorithms, we achieved the exact localization of the guest molecules. While the pristine zeolite maintains cubic symmetry Fd3¯, the incorporation of pharmaceutical molecules induces significant residual nuclear density and anisotropic lattice distortions. To accurately model these perturbations, a systematic symmetry reduction to the acentric triclinic space group F1 was implemented. This approach enabled an ab initio refinement of the structure, revealing that drug uptake of each guest is governed by distinct chemical drivers. Ibuprofen is stabilized via steric confinement and long-range dispersive interactions. In contrast, atenolol stability is governed by electrostatic charge compensation within the zeolitic voids. Our results suggest that the final adsorption geometry is dictated by the spatial orientation of functional groups and host–guest proximity rather than molecular chirality. These results provide a microscopic model describing the fundamental host–guest interactions in FAU zeolites. This structural understanding is an essential step towards the potential use of zeolitic materials in environmental remediation and complex guest sequestration. Full article
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22 pages, 566 KB  
Article
Interference-Induced Bound States in the Continuum in Optical Giant Atoms
by Vassilios Yannopapas
Photonics 2026, 13(1), 96; https://doi.org/10.3390/photonics13010096 - 21 Jan 2026
Viewed by 309
Abstract
The giant atom paradigm, where a single quantum emitter couples to a continuum at multiple discrete points, has enabled unprecedented control over light-matter interactions, including decoherence-free subspaces and chiral emission. However, realizing these non-local effects beyond the microwave regime remains a significant challenge [...] Read more.
The giant atom paradigm, where a single quantum emitter couples to a continuum at multiple discrete points, has enabled unprecedented control over light-matter interactions, including decoherence-free subspaces and chiral emission. However, realizing these non-local effects beyond the microwave regime remains a significant challenge due to the diffraction limit. Here, we theoretically propose a photonic analog of giant atoms operating at optical frequencies, utilizing a quantum emitter resonantly coupled to a pair of spatially separated single-mode cavities interacting with a common 1D photonic continuum. By rigorously deriving the effective non-Hermitian Hamiltonian and integrating out the bath degrees of freedom, we demonstrate that the interference between cavity-mediated emission pathways leads to the formation of robust Bound States in the Continuum (BICs). These interference-induced dark states allow for the infinite trapping of excitation within the emitter-cavity subsystem, effectively shielding it from radiative decay. Our results extend the giant atom toolbox to the optical domain, offering a scalable architecture for integrated quantum photonics and quantum interconnects. Full article
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15 pages, 4006 KB  
Article
Circular Dichroism via Extrinsic Chirality in Achiral Plasmonic Nanohole Arrays
by Francesco Floris, Margherita Angelini, Konstantins Jefimovs, Dimitrios Kazazis and Franco Marabelli
Materials 2026, 19(2), 402; https://doi.org/10.3390/ma19020402 - 19 Jan 2026
Viewed by 460
Abstract
The detection of chiral properties is crucial for pharmacology and biochemistry, yet standard circular dichroism spectroscopy suffers from low sensitivity when probing minute sample volumes. While complex asymmetric chiral nanostructures can enhance these Circular Dichroic (CD) signals, their fabrication is intricate and costly. [...] Read more.
The detection of chiral properties is crucial for pharmacology and biochemistry, yet standard circular dichroism spectroscopy suffers from low sensitivity when probing minute sample volumes. While complex asymmetric chiral nanostructures can enhance these Circular Dichroic (CD) signals, their fabrication is intricate and costly. In this work, we analyzed an alternative based on extrinsic chirality in achiral square arrays of plasmonic circular NHAs realized via Displacement Talbot Lithography (DTL), thus exploring the chiroptical response arising from symmetry breaking induced by oblique illumination. Unlike isolated nanoparticles, nanohole arrays (NHAs) support propagating Surface Plasmon Polaritons (SPPs), allowing for unique light confinement capabilities essential for high-throughput sensing. A careful characterization in terms of Stokes parameters has been performed over a selected range of different optical angles of incidence and sample orientation to disentangle extrinsic chiral contribution from spurious effects related to sample imperfections. By optimizing such extrinsic chiral contributions, enhanced chiroptical response could be engineered by significantly amplifying the interaction between light and chiral biomolecules trapped within the holes. This methodology establishes DTL-fabricated achiral NHAs as an ultrasensitive, cost-effective platform for the detection and discrimination of enantiomers in biosensing applications. Full article
(This article belongs to the Section Optical and Photonic Materials)
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13 pages, 3115 KB  
Article
BINOL-Based Zirconium Metal–Organic Cages: Self-Assembly, Guest Complexation, Aggregation-Induced Emission, and Circularly Polarized Luminescence
by Yawei Liu, Gen Li, Roy Lavendomme, En-Qing Gao and Dawei Zhang
Nanomaterials 2026, 16(2), 132; https://doi.org/10.3390/nano16020132 - 19 Jan 2026
Viewed by 611
Abstract
The development of nanoscale chiral materials with enhanced optical properties holds significant promise for advancing technologies in light-emitting devices and enantioselective sensing. Here, we report the self-assembly of chiral metal–organic cages from an axially chiral, AIE-active binaphthyl dicarboxylate ligand. This supramolecular architecture functions [...] Read more.
The development of nanoscale chiral materials with enhanced optical properties holds significant promise for advancing technologies in light-emitting devices and enantioselective sensing. Here, we report the self-assembly of chiral metal–organic cages from an axially chiral, AIE-active binaphthyl dicarboxylate ligand. This supramolecular architecture functions as a multifunctional platform, demonstrating a high affinity for anionic guests through synergistic electrostatic and hydrogen-bonding interactions. The rigid cage framework not only enhances the ligand’s intrinsic aggregation-induced emission (AIE) but also serves as a highly effective chiral amplifier. Notably, MOCs significantly boost the circularly polarized luminescence (CPL), achieving a luminescence dissymmetry factor (|glum|) of 1.2 × 10−3. This value represents an approximately five-fold enhancement over that of the unassembled ligand. The photophysical properties of this chiral supramolecular system provide a strategic blueprint for designing next-generation optical nanomaterials. Full article
(This article belongs to the Section Inorganic Materials and Metal-Organic Frameworks)
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18 pages, 4939 KB  
Article
Creation of High-Density Néel Skyrmions by Interfacial-Proximity Engineering
by Tingjia Zhang, Chendi Yang, Xiaowei Lv, Ke Pei, Xiao Yang, Wuyang Tan, Junye Pan, Jiazhuan Qin, Meichen Wen, Wei Li, Jia Liang and Renchao Che
Materials 2026, 19(2), 340; https://doi.org/10.3390/ma19020340 - 14 Jan 2026
Viewed by 507
Abstract
Two-dimensional ferromagnets are promising for compact spintronic devices. However, their centrosymmetric structure inherently suppresses the Dzyaloshinskii–Moriya interaction (DMI), hindering the stabilization of chiral spin texture. Here, a tunable DMI induced by interface symmetry breaking in Fe3GeTe2/MoS2 vdW heterostructures [...] Read more.
Two-dimensional ferromagnets are promising for compact spintronic devices. However, their centrosymmetric structure inherently suppresses the Dzyaloshinskii–Moriya interaction (DMI), hindering the stabilization of chiral spin texture. Here, a tunable DMI induced by interface symmetry breaking in Fe3GeTe2/MoS2 vdW heterostructures is reported. We find that the interfacial DMI stabilizes Néel-type skyrmions in Fe3GeTe2/MoS2 heterostructures under zero magnetic field, with nucleation observed at 64 Oe and annihilation at 800 Oe via Lorentz transmission electron microscopy (LTEM). Skyrmion density peaks (~0.57 skyrmions/μm2) at a Fe3GeTe2 thickness of ~30 nm and decays beyond ~60 nm, indicating a finite penetration depth of the proximity effect. Such modulated DMI enables a stabilized nucleation of Néel type skyrmions, allowing for precise control over their density, revealed by Lorentz transmission electron microscopy. Thickness-dependent measurements confirm the interfacial origin of this stabilization. Skyrmion density reaches peak in thin Fe3GeTe2 layers and decays beyond ~60 nm, defining the finite penetration depth of the proximity effect. Micromagnetic simulations reproduce the field-dependent evolution of skyrmions, showing a strong correlation to interfacial DMI. First-principles calculations attribute this DMI to asymmetric charge redistribution and spin–orbit coupling at the heterointerface. This work establishes interface engineering as a universal strategy for stabilizing skyrmions in centrosymmetric vdW ferromagnets, offering a thickness-tunable platform for next-generation two-dimensional spintronic devices. Full article
(This article belongs to the Section Thin Films and Interfaces)
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11 pages, 1072 KB  
Article
Effect of the Dzyaloshinskii–Moriya Interaction on Magnonic Activity in Ferromagnetic Nanotubes
by Mingming Yang and Ming Yan
Symmetry 2026, 18(1), 120; https://doi.org/10.3390/sym18010120 - 8 Jan 2026
Viewed by 395
Abstract
The magnonic activity refers to a chiral effect in the field of magnetization dynamics that exhibits a high degree of analogy to optical activity. It manifests as the azimuthal continuous rotation of standing-wave nodes in the cross-section of spin waves during propagation in [...] Read more.
The magnonic activity refers to a chiral effect in the field of magnetization dynamics that exhibits a high degree of analogy to optical activity. It manifests as the azimuthal continuous rotation of standing-wave nodes in the cross-section of spin waves during propagation in ferromagnetic nanowire waveguides. The study employs micromagnetic simulation methods to theoretically investigate the influence of the interfacial Dzyaloshinskii–Moriya interaction (iDMI) on the magnonic activity in longitudinally magnetized ferromagnetic nanotubes. The results demonstrate that iDMI-induced chirality effectively controls the magnonic activity’s rotatory power, which relies on the values of the iDMI constant D (from 0.5 mJ/m2 to 1 mJ/m2). Additionally, nanotube thickness variations (from 3 nm to 15 nm) alter effective curvature, further influencing the rotatory power of the magnonic activity. Numerical simulations and semi-analytical calculations show excellent agreement, providing a theoretical foundation for chiral spin-wave manipulation in 3D curved nanostructures. Full article
(This article belongs to the Special Issue Applications Based on Symmetry in Condensed Matter Physics)
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52 pages, 716 KB  
Article
Quantum Anomalies as Intrinsic Algebraic Curvature: A Unified AQFT Interpretation of Renormalization Ambiguities
by Andrei T. Patrascu
Quantum Rep. 2026, 8(1), 3; https://doi.org/10.3390/quantum8010003 - 7 Jan 2026
Viewed by 502
Abstract
Quantum anomalies are traditionally understood as classical symmetries that fail to survive quantization, while experimental “anomalies” denote deviations between theoretical predictions and measured values. In this work, we develop a unified framework in which both phenomena can be interpreted through the lens of [...] Read more.
Quantum anomalies are traditionally understood as classical symmetries that fail to survive quantization, while experimental “anomalies” denote deviations between theoretical predictions and measured values. In this work, we develop a unified framework in which both phenomena can be interpreted through the lens of algebraic quantum field theory (AQFT). Building on the renormalization group viewed as an extension problem, we show that renormalization ambiguities correspond to nontrivial elements of Hochschild cohomology, giving rise to a deformation of the observable algebra AB=AB+εω(A,B), where ω is a Hochschild 2-cocycle. We interpret ω as an intrinsic algebraic curvature of the net of local algebras, namely the (local) Hochschild class that measures the obstruction to trivializing infinitesimal scheme changes by inner redefinitions under locality and covariance constraints. The transported product is associative; its first-order expansion is associative up to O(ε2) while preserving the ∗-structure and Ward identities to the first order. We prove the existence of nontrivial cocycles in the perturbative AQFT setting, derive the conditions under which the deformed product respects positivity and locality, and establish the compatibility with current conservation. The construction provides a direct algebraic bridge to standard cohomological anomalies (chiral, trace, and gravitational) and yields correlated deformations of physical amplitudes. Fixing the small deformation parameter ε from the muon (g2) discrepancy, we propagate the framework to predictions for the electron (g2), charged lepton EDMs, and other low-energy observables. This approach reduces reliance on ad hoc form-factor parametrizations by organizing first-order scheme-induced deformations into correlation laws among low-energy observables. We argue that interpreting quantum anomalies as manifestations of algebraic curvature opens a pathway to a unified, testable account of renormalization ambiguities and their phenomenological consequences. We emphasize that the framework does not eliminate renormalization or quantum anomalies; rather, it repackages the finite renormalization freedom of pAQFT into cohomological data and relates it functorially to standard anomaly classes. Full article
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34 pages, 549 KB  
Article
Primordial Gravitational Wave Birefringence in a de Sitter Background with Chern–Simons Coupling
by Abhishek Rout and Brett Altschul
Universe 2026, 12(1), 6; https://doi.org/10.3390/universe12010006 - 26 Dec 2025
Viewed by 369
Abstract
In this work, we investigate tensor perturbations in a de Sitter background within the framework of Chern–Simons modified gravity. We introduce transverse-traceless perturbations and analyze how the Chern–Simons Cotton tensor induces parity-violating modifications to gravitational wave propagation, while the Pontryagin density vanishes at [...] Read more.
In this work, we investigate tensor perturbations in a de Sitter background within the framework of Chern–Simons modified gravity. We introduce transverse-traceless perturbations and analyze how the Chern–Simons Cotton tensor induces parity-violating modifications to gravitational wave propagation, while the Pontryagin density vanishes at linear order. Using a mode decomposition of the scalar background field, we derive the sub- and super-horizon limits of the wave equations and uncover chiral corrections in the dispersion relations of tensor modes. The resulting birefringence exhibits both amplitude and velocity components, alternating with the phase of the scalar field. Particular solutions sourced by the scalar background show helicity-dependent amplification and a characteristic scaling of the radiated flux that reduces smoothly to the Minkowski limit. The accumulated phase difference between right- and left-handed modes grows quadratically inside the horizon and becomes frozen outside, leaving a permanent parity-violating imprint in the primordial tensor spectrum. Finally, by promoting the Chern–Simons field to a massive dark matter candidate, we demonstrate how its mass-dependent dynamics connect gravitational birefringence to axion-like dark matter phenomenology. Full article
(This article belongs to the Section Gravitation)
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