Level spacing statistics for two-dimensional massless Dirac billiards

被引：13

作者：

Huang Liang ^{[1
,2
,3
]}

Xu Hong-Ya ^{[1
,2
,3
]}

Lai Ying-Cheng ^{[3
,4
,5
]}

Grebogid, Celso ^{[5
]}

机构：

[1] Lanzhou Univ, Inst Computat Phys & Complex Syst, Lanzhou 730000, Peoples R China

[2] Lanzhou Univ, Key Lab Magnetism & Magnet Mat MOE, Lanzhou 730000, Peoples R China

[3] Arizona State Univ, Sch Elect Comp & Energy Engn, Tempe, AZ 85287 USA

[4] Arizona State Univ, Dept Phys, Tempe, AZ 85287 USA

[5] Univ Aberdeen, Kings Coll, Sch Nat & Comp Sci, Inst Complex Syst & Math Biol, Aberdeen AB9 1FX, Scotland

来源：

CHINESE PHYSICS B | 2014年 / 23卷 / 07期

基金：

中国国家自然科学基金;

关键词：

quantum chaos; level spacing statistics; Dirac billiards; graphene billiards; TIME-REVERSAL SYMMETRY; TOPOLOGICAL INSULATORS; QUANTUM BILLIARDS; CARBON NANOTUBES; MAGNETIC-FIELDS; GRAPHENE; CHAOS; SCATTERING; TRANSPORT; PHASE;

D O I：

10.1088/1674-1056/23/7/070507

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Classical-quantum correspondence has been an intriguing issue ever since quantum theory was proposed. The searching for signatures of classically nonintegrable dynamics in quantum systems comprises the interesting field of quantum chaos. In this short review, we shall go over recent efforts of extending the understanding of quantum chaos to relativistic cases. We shall focus on the level spacing statistics for two-dimensional massless Dirac billiards, i.e., particles confined in a closed region. We shall discuss the works for both the particle described by the massless Dirac equation (orWeyl equation) and the quasiparticle from graphene. Although the equations are the same, the boundary conditions are typically different, rendering distinct level spacing statistics.

引用

页数：12

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