Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems

Hongya Xu, Liang Huang, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticle

12 Citations (Scopus)
6 Downloads (Pure)

Abstract

Persistent currents (PCs), one of the most intriguing manifestations of the Aharonov-Bohm (AB) effect, are known to vanish for Schro "dinger particles in the presence of random scatterings, e.g., due to classical chaos. But would this still be the case for Dirac fermions? Addressing this question is of significant value due to the tremendous recent interest in two-dimensional Dirac materials. We investigate relativistic quantum AB rings threaded by a magnetic flux and find that PCs are extremely robust. Even for highly asymmetric rings that host fully developed classical chaos, the amplitudes of PCs are of the same order of magnitude as those for integrable rings, henceforth the term superpersistent currents (SPCs). A striking finding is that the SPCs can be attributed to a robust type of relativistic quantum states, i.e., Dirac whispering gallery modes (WGMs) that carry large angular momenta and travel along the boundaries. We propose an experimental scheme using topological insulators to observe and characterize Dirac WGMs and SPCs, and speculate that these features can potentially be the base for a new class of relativistic qubit systems. Our discovery of WGMs in relativistic quantum systems is remarkable because, although WGMs are common in photonic systems, they are relatively rare in electronic systems.

Original languageEnglish
Article number8963
Number of pages8
JournalScientific Reports
Volume5
Early online date11 Mar 2015
DOIs
Publication statusPublished - 11 Mar 2015

Keywords

  • topological dirac semimetal
  • time-reversal symmetry
  • persistent currents
  • mesoscopic rings
  • directional emission
  • graphene
  • billiards
  • single
  • oscillations
  • potentials

Cite this

Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems. / Xu, Hongya; Huang, Liang; Lai, Ying-Cheng; Grebogi, Celso.

In: Scientific Reports, Vol. 5, 8963, 11.03.2015.

Research output: Contribution to journalArticle

@article{657a0d19467c4c1b954d4b8def2e87bb,
title = "Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems",
abstract = "Persistent currents (PCs), one of the most intriguing manifestations of the Aharonov-Bohm (AB) effect, are known to vanish for Schro {"}dinger particles in the presence of random scatterings, e.g., due to classical chaos. But would this still be the case for Dirac fermions? Addressing this question is of significant value due to the tremendous recent interest in two-dimensional Dirac materials. We investigate relativistic quantum AB rings threaded by a magnetic flux and find that PCs are extremely robust. Even for highly asymmetric rings that host fully developed classical chaos, the amplitudes of PCs are of the same order of magnitude as those for integrable rings, henceforth the term superpersistent currents (SPCs). A striking finding is that the SPCs can be attributed to a robust type of relativistic quantum states, i.e., Dirac whispering gallery modes (WGMs) that carry large angular momenta and travel along the boundaries. We propose an experimental scheme using topological insulators to observe and characterize Dirac WGMs and SPCs, and speculate that these features can potentially be the base for a new class of relativistic qubit systems. Our discovery of WGMs in relativistic quantum systems is remarkable because, although WGMs are common in photonic systems, they are relatively rare in electronic systems.",
keywords = "topological dirac semimetal, time-reversal symmetry, persistent currents, mesoscopic rings, directional emission, graphene, billiards, single, oscillations, potentials",
author = "Hongya Xu and Liang Huang and Ying-Cheng Lai and Celso Grebogi",
note = "Acknowledgements This work was supported by AFOSR under Grant No. FA9550-12-1-0095 and by ONR under Grant No. N00014-08-1-0627. LH was supported by the NSF of China under Grant No. 11422541",
year = "2015",
month = "3",
day = "11",
doi = "10.1038/srep08963",
language = "English",
volume = "5",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",

}

TY - JOUR

T1 - Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems

AU - Xu, Hongya

AU - Huang, Liang

AU - Lai, Ying-Cheng

AU - Grebogi, Celso

N1 - Acknowledgements This work was supported by AFOSR under Grant No. FA9550-12-1-0095 and by ONR under Grant No. N00014-08-1-0627. LH was supported by the NSF of China under Grant No. 11422541

PY - 2015/3/11

Y1 - 2015/3/11

N2 - Persistent currents (PCs), one of the most intriguing manifestations of the Aharonov-Bohm (AB) effect, are known to vanish for Schro "dinger particles in the presence of random scatterings, e.g., due to classical chaos. But would this still be the case for Dirac fermions? Addressing this question is of significant value due to the tremendous recent interest in two-dimensional Dirac materials. We investigate relativistic quantum AB rings threaded by a magnetic flux and find that PCs are extremely robust. Even for highly asymmetric rings that host fully developed classical chaos, the amplitudes of PCs are of the same order of magnitude as those for integrable rings, henceforth the term superpersistent currents (SPCs). A striking finding is that the SPCs can be attributed to a robust type of relativistic quantum states, i.e., Dirac whispering gallery modes (WGMs) that carry large angular momenta and travel along the boundaries. We propose an experimental scheme using topological insulators to observe and characterize Dirac WGMs and SPCs, and speculate that these features can potentially be the base for a new class of relativistic qubit systems. Our discovery of WGMs in relativistic quantum systems is remarkable because, although WGMs are common in photonic systems, they are relatively rare in electronic systems.

AB - Persistent currents (PCs), one of the most intriguing manifestations of the Aharonov-Bohm (AB) effect, are known to vanish for Schro "dinger particles in the presence of random scatterings, e.g., due to classical chaos. But would this still be the case for Dirac fermions? Addressing this question is of significant value due to the tremendous recent interest in two-dimensional Dirac materials. We investigate relativistic quantum AB rings threaded by a magnetic flux and find that PCs are extremely robust. Even for highly asymmetric rings that host fully developed classical chaos, the amplitudes of PCs are of the same order of magnitude as those for integrable rings, henceforth the term superpersistent currents (SPCs). A striking finding is that the SPCs can be attributed to a robust type of relativistic quantum states, i.e., Dirac whispering gallery modes (WGMs) that carry large angular momenta and travel along the boundaries. We propose an experimental scheme using topological insulators to observe and characterize Dirac WGMs and SPCs, and speculate that these features can potentially be the base for a new class of relativistic qubit systems. Our discovery of WGMs in relativistic quantum systems is remarkable because, although WGMs are common in photonic systems, they are relatively rare in electronic systems.

KW - topological dirac semimetal

KW - time-reversal symmetry

KW - persistent currents

KW - mesoscopic rings

KW - directional emission

KW - graphene

KW - billiards

KW - single

KW - oscillations

KW - potentials

U2 - 10.1038/srep08963

DO - 10.1038/srep08963

M3 - Article

VL - 5

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 8963

ER -