TY - JOUR
T1 - Relativistic quantum level-spacing statistics in chaotic graphene billiards
AU - Huang, Liang
AU - Lai, Ying-Cheng
AU - Grebogi, Celso
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/5/28
Y1 - 2010/5/28
N2 - An outstanding problem in quantum nonlinear dynamics concerns about the energy-level statistics in experimentally accessible relativistic quantum systems. We demonstrate, using chaotic graphene confinements where electronic motions are governed by the Dirac equation in the low-energy regime, that the level-spacing statistics are those given by Gaussian orthogonal ensemble (GOE) random matrices. Weak magnetic field can change the level-spacing statistics to those of Gaussian unitary ensemble for electrons in graphene. For sufficiently strong magnetic field, the GOE statistics are restored due to the appearance of Landau levels.
AB - An outstanding problem in quantum nonlinear dynamics concerns about the energy-level statistics in experimentally accessible relativistic quantum systems. We demonstrate, using chaotic graphene confinements where electronic motions are governed by the Dirac equation in the low-energy regime, that the level-spacing statistics are those given by Gaussian orthogonal ensemble (GOE) random matrices. Weak magnetic field can change the level-spacing statistics to those of Gaussian unitary ensemble for electrons in graphene. For sufficiently strong magnetic field, the GOE statistics are restored due to the appearance of Landau levels.
UR - http://www.scopus.com/inward/record.url?scp=77953336663&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953336663&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.81.055203
DO - 10.1103/PhysRevE.81.055203
M3 - Article
C2 - 20866288
AN - SCOPUS:77953336663
SN - 1539-3755
VL - 81
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 055203
ER -