Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux

Time-reversal ( ${ \mathcal T }$ -) symmetry is fundamental to many physical processes. Typically, ${ \mathcal T }$ -breaking for microscopic processes requires the presence of magnetic field. However, for 2D massless Dirac billiards, ${ \mathcal T }$ -symmetry is broken automatically by the mass co...

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Main Authors: Cheng-Zhen Wang, Liang Huang, Kai Chang
Format: Article
Language:English
Published: IOP Publishing 2017-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa50bf
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author Cheng-Zhen Wang
Liang Huang
Kai Chang
author_facet Cheng-Zhen Wang
Liang Huang
Kai Chang
author_sort Cheng-Zhen Wang
collection DOAJ
description Time-reversal ( ${ \mathcal T }$ -) symmetry is fundamental to many physical processes. Typically, ${ \mathcal T }$ -breaking for microscopic processes requires the presence of magnetic field. However, for 2D massless Dirac billiards, ${ \mathcal T }$ -symmetry is broken automatically by the mass confinement, leading to chiral quantum scars. In this paper, we investigate the mechanism of ${ \mathcal T }$ -breaking by analyzing the local current of the scarring eigenstates and their magnetic response to an Aharonov–Bohm flux. Our results unveil the complete understanding of the subtle ${ \mathcal T }$ -breaking phenomena from both the semiclassical formula of chiral scars and the microscopic current and spin reflection at the boundaries, leading to a controlling scheme to change the chirality of the relativistic quantum scars. Our findings not only have significant implications on the transport behavior and spin textures of the relativistic pseudoparticles, but also add basic knowledge to relativistic quantum chaos.
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spelling doaj.art-1ce67faf0c4947ceab18a8900302b9862023-08-08T14:33:37ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119101301810.1088/1367-2630/aa50bfScars in Dirac fermion systems: the influence of an Aharonov–Bohm fluxCheng-Zhen Wang0Liang Huang1Kai Chang2School of Physical Science and Technology, and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University , Lanzhou, Gansu 730000, People’s Republic of ChinaSchool of Physical Science and Technology, and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University , Lanzhou, Gansu 730000, People’s Republic of ChinaSKLSM, Institute of Semiconductors, Chinese Academy of Sciences, PO Box 912, Beijing 100083, People’s Republic of China; Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, People’s Republic of ChinaTime-reversal ( ${ \mathcal T }$ -) symmetry is fundamental to many physical processes. Typically, ${ \mathcal T }$ -breaking for microscopic processes requires the presence of magnetic field. However, for 2D massless Dirac billiards, ${ \mathcal T }$ -symmetry is broken automatically by the mass confinement, leading to chiral quantum scars. In this paper, we investigate the mechanism of ${ \mathcal T }$ -breaking by analyzing the local current of the scarring eigenstates and their magnetic response to an Aharonov–Bohm flux. Our results unveil the complete understanding of the subtle ${ \mathcal T }$ -breaking phenomena from both the semiclassical formula of chiral scars and the microscopic current and spin reflection at the boundaries, leading to a controlling scheme to change the chirality of the relativistic quantum scars. Our findings not only have significant implications on the transport behavior and spin textures of the relativistic pseudoparticles, but also add basic knowledge to relativistic quantum chaos.https://doi.org/10.1088/1367-2630/aa50bfrelativistic quantum chaostime-reversal symmetry breakingchiral scarsemiclassical theoryAharonov–Bohm phase05.45.Mt
spellingShingle Cheng-Zhen Wang
Liang Huang
Kai Chang
Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux
New Journal of Physics
relativistic quantum chaos
time-reversal symmetry breaking
chiral scar
semiclassical theory
Aharonov–Bohm phase
05.45.Mt
title Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux
title_full Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux
title_fullStr Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux
title_full_unstemmed Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux
title_short Scars in Dirac fermion systems: the influence of an Aharonov–Bohm flux
title_sort scars in dirac fermion systems the influence of an aharonov bohm flux
topic relativistic quantum chaos
time-reversal symmetry breaking
chiral scar
semiclassical theory
Aharonov–Bohm phase
05.45.Mt
url https://doi.org/10.1088/1367-2630/aa50bf
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AT lianghuang scarsindiracfermionsystemstheinfluenceofanaharonovbohmflux
AT kaichang scarsindiracfermionsystemstheinfluenceofanaharonovbohmflux