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In a Hermitian system, bound states must have quantized energies, whereas extended states can form a continuum. We demonstrate how this principle fails for non-Hermitian systems, by analyzing non-Hermitian continuous Hamiltonians with an…

Quantum Physics · Physics 2023-03-29 Qiang Wang , Changyan Zhu , Xu Zheng , Haoran Xue , Baile Zhang , Y. D. Chong

We study the chiral anomaly in disordered Weyl semimetals, where the broken translational symmetry prevents the direct application of Nielsen and Ninomiya's mechanism and disorder is strong enough that quantum effects are important. In the…

Disordered Systems and Neural Networks · Physics 2019-01-25 Junhyun Lee , J. H. Pixley , Jay D. Sau

Recently, Weyl semimetals have been experimentally discovered in both inversion-symmetry-breaking and time-reversal-symmetry-breaking crystals. The non-trivial topology in Weyl semimetals can manifest itself with exotic phenomena which have…

Chiral fermionic quasiparticles emerge in certain quantum condensed matter systems such as Weyl semimetals, topological insulators, and spin-orbit coupled noncentrosymmetric metals. Here, a comprehensive theory of the chiral anomaly-induced…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

Strongly Correlated Electrons · Physics 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

We develop a fully quantum-mechanical theory of negative magnetoresistance in multi-Weyl semimetals in the ${\bf E}\parallel{\bf B}$ configuration, where the chiral anomaly is activated. The magnetotransport response is governed by Landau…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Arka Ghosh , Sushmita Saha , Alestin Mawrie

Condensed matter systems realizing Weyl fermions exhibit striking phenomenology derived from their topologically protected surface states as well as chiral anomalies induced by electromagnetic fields. More recently, inhomogeneous strain or…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Jan Behrends , Sthitadhi Roy , Michael H. Kolodrubetz , Jens H. Bardarson , Adolfo G. Grushin

We present the {\em (symmetry-incorporating) formalism of general continuum models with boundary conditions} and apply it to the model with the minimal number of degrees of freedom necessary to have a well-defined boundary: a model with a…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Maxim Kharitonov

Recent studies have shown that chiral anomaly is not limited to Weyl semimetals (WSMs), but are also shown by a larger class of materials called spin orbit coupled noncentrosymmetric metals (SOC-NCMs),which has shed more insight into the…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Gautham Varma K , Mohd. Hashim Raza , Azaz Ahmad

Motivated by recent transport experiments, we theoretically study the quantum Hall effect in topological semimetal films. Owing to the confinement effect, the bulk subbands originating from the chiral Landau levels establish energy gaps…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 D. -H. -Minh Nguyen , Koji Kobayashi , Jan-Erik R. Wichmann , Kentaro Nomura

Nodal line semimetals (NLSM) exhibit interesting quantum oscillation characteristics when acted upon by a strong magnetic field. We study the combined effect of strong direct (dc) and alternating (ac) magnetic field, perpendicular to the…

Strongly Correlated Electrons · Physics 2021-05-20 Satyaki Kar

An exotic anomalous plasmon mode is found in strained Weyl semimetals utilizing the topological Landau Fermi liquid and chiral kinetic theories, in which quasiparticle interactions are modeled by long-range Coulomb and residual short-range…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 Shiva Heidari , Dimitrie Culcer , Reza Asgari

Collective modes of exotic quantum fluids reveal underlying physical mechanisms responsible for emergent complex quantum ground states. We observe unexpected new collective modes in the fractional quantum Hall (FQH) regime:…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 Lingjie Du , Ursula Wurstbauer , Ken W. West , Loren N. Pfeiffer , Saeed Fallahi , Geoff C. Gardner , Michael J. Manfra , Aron Pinczuk

We consider the role of coordinate dependent tetrads ("Fermi velocities"), momentum space geometry, and torsional Landau levels (LLs) in condensed matter systems with low-energy Weyl quasiparticles. In contrast to their relativistic…

Strongly Correlated Electrons · Physics 2021-01-04 Sara Laurila , Jaakko Nissinen

Multi-Weyl semimetals are a kind of topological phase of matter with discrete Weyl nodes characterized by multiple monopole charges, in which the chiral anomaly, the anomalous nonconservation of an axial current, occurs in the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

Topology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the $\theta$ vacuum in QCD. A very relevant aspect of this connection is through the…

High Energy Physics - Theory · Physics 2022-11-30 Claudio Corianò , Mario Cretì , Stefania D'Agostino

We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding of two interpretations of non-Hermitian topology: quantum…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Nobuyuki Okuma , Masatoshi Sato

We investigate the 3D quantum Hall effect in Weyl semimetals and elucidate a global picture of the edge states. The edge states hosting 3D quantum Hall effect are combinations of Fermi arcs and chiral bulk Landau levels parallel to the…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Hailong Li , Haiwen Liu , Hua Jiang , X. C. Xie

Collective modes provide direct fingerprints of quantum matter. We predict a previously unidentified hybrid bulk electromagnetic mode in Weyl semimetals arising from the interplay between the chiral anomaly and the orientation of its…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Subrahmanyam D , Suhas Gangadharaiah , E. G. Mishchenko

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski
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