Symmetry and chirality in crystals [PDF]
Journal of Applied Crystallography, 2021 A classification scheme relating the chirality of molecules to the type of crystal structures (chiral or achiral) they may form is presented. With respect to similar classifications proposed in the past, some corrections and extensions are introduced. In particular, (1) it is shown that chiral crystal structures from achiral molecules can occur in 28 ...
Massimo Nespolo, Amani Hind Benahsene
openaire +3 more sources
Degeneracy patterns of chiral companions at finite temperature [PDF]
Symmetry 2021, 13(8), 1400, 2021 Chiral symmetry represents a fundamental concept lying at the core of particle and nuclear physics. Its spontaneous breaking in vacuum can be exploited to distinguish chiral hadronic partners, whose masses differ. In fact, the features of this breaking serve as guiding principles for the construction of effective approaches of QCD at low energies, e.g.,
arxiv +1 more source
Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry [PDF]
Physical Review A, 2018 We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\nu_E$ and $\nu_{total}$, associated with complex energy vorticity and summation of Berry ...
Hui Jiang, Chao Yang, Shu Chen
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Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry [PDF]
Physical Review B 109, 245402 (2024), 2023 Chiral symmetry plays an indispensable role in topological classifications as well as in the understanding of the origin of bulk or boundary flat bands. The conventional definition of chiral symmetry refers to the existence of a constant unitary matrix anticommuting with the Hamiltonian.
arxiv +1 more source
Second-order topological phases protected by chiral symmetry [PDF]
Physical review B, 2019 We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only by chiral ...
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Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry [PDF]
Physical review B, 2018 Emergence of exceptional points in two dimensions is one of the remarkable phenomena in non-Hermitian systems. We here elucidate the impacts of symmetry on the non-Hermitian physics.
Tsuneya Yoshida +3 more
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Chiral approximation to twisted bilayer graphene: Exact intravalley inversion symmetry, nodal structure, and implications for higher magic angles [PDF]
, 2020 This paper presents a mathematical and numerical analysis of the flatband wavefunctions occurring in the chiral model of twisted bilayer graphene at the "magic" twist angles.
Jie Wang +3 more
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Topology Classification using Chiral Symmetry and Spin Correlations in Graphene Nanoribbons.
Nano letters (Print), 2020 We apply the topological classification theory using chiral symmetry to graphene nanoribbons (GNRs). This approach eliminates the requirement of time-reversal and spatial symmetry in previous Z2 topology theory, resulting in a Z classification with the ...
Jingwei Jiang, S. Louie
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Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking [PDF]
Journal of High Energy Physics, 2018 A bstractWe discuss consequences of the ’t Hooft anomaly matching condition for Quantum Chromodynamics (QCD) with massless fundamental quarks. We derive the new discrete ’t Hooft anomaly of massless QCD for generic numbers of color Nc and flavor Nf , and
Y. Tanizaki
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Anomaly constraints on gapped phases with discrete chiral symmetry [PDF]
Physical Review D, 2019 We prove that in $(3+1)d$ quantum field theories with ${\mathbb{Z}}_{N}$ symmetry, certain anomalies forbid a symmetry-preserving vacuum state with a gapped spectrum.
Clay Córdova, K. Ohmori
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