PMID- 25758591
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20150702
LR  - 20181113
IS  - 2045-2322 (Electronic)
IS  - 2045-2322 (Linking)
VI  - 5
DP  - 2015 Mar 11
TI  - Superpersistent currents and whispering gallery modes in relativistic quantum 
      chaotic systems.
PG  - 8963
LID - 10.1038/srep08963 [doi]
LID - 8963
AB  - Persistent currents (PCs), one of the most intriguing manifestations of the 
      Aharonov-Bohm (AB) effect, are known to vanish for Schrodinger 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.
FAU - Xu, Hongya
AU  - Xu H
AD  - 1] School of Electrical, Computer and Energy Engineering, Arizona State 
      University, Tempe, AZ 85287, USA [2] School of Physical Science and Technology 
      and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou 
      University, Lanzhou, Gansu 730000, China.
FAU - Huang, Liang
AU  - Huang L
AD  - 1] School of Electrical, Computer and Energy Engineering, Arizona State 
      University, Tempe, AZ 85287, USA [2] School of Physical Science and Technology 
      and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou 
      University, Lanzhou, Gansu 730000, China.
FAU - Lai, Ying-Cheng
AU  - Lai YC
AD  - 1] School of Electrical, Computer and Energy Engineering, Arizona State 
      University, Tempe, AZ 85287, USA [2] Department of Physics, Arizona State 
      University, Tempe, Arizona 85287, USA [3] Institute for Complex Systems and 
      Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, 
      UK.
FAU - Grebogi, Celso
AU  - Grebogi C
AD  - Institute for Complex Systems and Mathematical Biology, King's College, 
      University of Aberdeen, Aberdeen AB24 3UE, UK.
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
PT  - Research Support, U.S. Gov't, Non-P.H.S.
DEP - 20150311
PL  - England
TA  - Sci Rep
JT  - Scientific reports
JID - 101563288
PMC - PMC4355680
EDAT- 2015/03/12 06:00
MHDA- 2015/03/12 06:01
PMCR- 2015/03/11
CRDT- 2015/03/12 06:00
PHST- 2014/11/30 00:00 [received]
PHST- 2015/02/09 00:00 [accepted]
PHST- 2015/03/12 06:00 [entrez]
PHST- 2015/03/12 06:00 [pubmed]
PHST- 2015/03/12 06:01 [medline]
PHST- 2015/03/11 00:00 [pmc-release]
AID - srep08963 [pii]
AID - 10.1038/srep08963 [doi]
PST - epublish
SO  - Sci Rep. 2015 Mar 11;5:8963. doi: 10.1038/srep08963.