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In intrinsic magnetic topological insulators, Dirac surface state gaps are prerequisites for quantum anomalous Hall and axion insulating states. Unambiguous experimental identification of these gaps has proved to be a challenge, however.…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Mengke Liu , Chao Lei , Hyunsue Kim , Yanxing Li , Lisa Frammolino , Jiaqiang Yan , Allan H. Macdonald , Chih-Kang Shih

Dirac semimetals, the materials featured with discrete linearly crossing points (called Dirac points) between four bands, are critical states of topologically distinct phases. Such gapless topological states have been accomplished by a…

Materials Science · Physics 2020-01-20 Xiangxi Cai , Liping Ye , Chunyin Qiu , Meng Xiao , Rui Yu , Manzhu Ke , Zhengyou Liu

Topological Dirac semimetals (TDSs) represent a new state of quantum matter recently discovered that offers a platform for realizing many exotic physical phenomena. A TDS is characterized by the linear touching of bulk (conduction and…

Due to the linearly vanishing density of states, emergent massless Dirac quasiparticles resulting from the free fermion motion in a family of two-dimensional half-filled bipartite hyperbolic lattices feature dynamic mass generation through…

Strongly Correlated Electrons · Physics 2024-12-11 Bitan Roy

We predict that a strong nonreciprocity in the resonance spectra of Dirac quantum dots can be induced by the Berry phase. The nonreciprocity arises in relatively weak magnetic fields and is manifest in anomalously large field-induced…

Mesoscale and Nanoscale Physics · Physics 2016-12-23 Joaquin F. Rodriguez-Nieva , Leonid S. Levitov

We study a system of Dirac electrons with finite density of charge carriers coupled to an external electromagnetic field in two spatial dimensions, with a domain wall (DW) mass term. The interface between a thin-film ferromagnet and a…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Yago Ferreiros , F. J. Buijnsters , M. I. Katsnelson

We numerically study the effect of short ranged potential disorder on massless noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of the proposed quantum critical point separating the semimetal and…

Disordered Systems and Neural Networks · Physics 2016-07-20 J. H. Pixley , David A. Huse , S. Das Sarma

An unconventional insulating phase and a superconducting phase were recently discovered in the twisted bilayer graphene [Y. Cao et al, Nature {\bf 556}, 80; {\bf 556}, 43 (2018)], but the relevant low-energy electronic states have not been…

Mesoscale and Nanoscale Physics · Physics 2019-05-02 Long Zhang

To obtain the total response of the system, the effect of disorder cannot be neglected, as it introduces a new contribution (i.e. extrinsic) in the total response of the system. In the study of dynamical (AC) effects, the interband response…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Vivek Pandey , Pankaj Bhalla

In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures are perturbed from the same periodic medium with a Dirac…

Mathematical Physics · Physics 2023-04-24 Jiayu Qiu , Junshan Lin , Peng Xie , Hai Zhang

The stationary Dirac equation $(p\cdot\sigma)\psi=E\psi$, confined to a two-dimensional (2D) region, supports states propagating along the boundary and decaying exponentially away from the boundary. These edge states appear on the 2D…

Mesoscale and Nanoscale Physics · Physics 2025-03-07 Alvaro Donís Vela , Carlo W. J. Beenakker

In BaNiS2 a Dirac nodal-line band structure exists within a two-dimensional Ni square lattice system, in which significant electronic correlation effects are anticipated. Using scanning tunneling microscopy, we discover signs of…

Strongly Correlated Electrons · Physics 2022-12-28 C. J. Butler , Y. Kohsaka , Y. Yamakawa , M. S. Bahramy , S. Onari , H. Kontani , T. Hanaguri , S. Shamoto

The exciting discovery of bi-dimensional systems in condensed matter physics has triggered the search of their photonic analogues. In this letter, we describe a general scheme to reproduce some of the systems ruled by a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Simon Yves , Thomas Berthelot , Mathias Fink , Geoffroy Lerosey , Fabrice Lemoult

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. We show that even though disorder is perturbatively irrelevant at 3D Dirac points, nonperturbative effects from rare regions give rise to a nonzero…

Strongly Correlated Electrons · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

Quasi-one-dimensional spin-Peierls and spin-ladder systems are characterized by a gap in the spin-excitation spectrum, which can be modeled at low energies by that of Dirac fermions with a mass. In the presence of disorder these systems can…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Steiner , M. Fabrizio , Alexander O. Gogolin

Twisted moir\'e Dirac systems enable powerful miniband engineering but are largely fixed once the twist angle is set, whereas unidirectional (1D) electrostatic superlattices offer continuous control of Dirac anisotropy; yet robust…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hanzhou Tan , Pilkyung Moon

The tunability of topological surface states (SS) and controllable opening of the Dirac gap are of fundamental and practical interest in the field of topological materials. In topological crystalline insulators (TCIs), a spontaneously…

We investigate the occurrence of bound states in the continuum (BIC's) in serial structures of quantum dots coupled to an external waveguide, when some characteristic length of the system is changed. By resorting to a multichannel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Cattapan , P. Lotti

Topological boundary states, emerged at the spatial boundary between topological non-trivial and trivial phases, are usually gapless, or commonly referred as metallic states. For example, the surface state of a topological insulator is a…

Interplay of Fermi surface topology and electron correlation is the quintessential ingredient underlying spontaneous symmetry breaking in itinerant electronic systems. In one-dimensional (1D) systems at half-filling, the inherent Fermi…

Strongly Correlated Electrons · Physics 2019-05-07 Jin-Hong Park , Seung Hun Lee , Choong H. Kim , Hosub Jin , Bohm-Jung Yang