Induced superconductivity distinguishes chaotic from integrable billiards

被引:104
作者
Melsen, JA
Brouwer, PW
Frahm, KM
Beenakker, CWJ
机构
[1] Instituut-Lorentz, University of Leiden, 2300 RA Leiden
来源
EUROPHYSICS LETTERS | 1996年 / 35卷 / 01期
关键词
D O I
10.1209/epl/i1996-00522-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Random matrix theory is used to show that the proximity to a superconductor opens a gap in the excitation spectrum of an electron gas confined to a billiard with a chaotic classical dynamics. In contrast, a gapless spectrum is obtained for a non-chaotic rectangular billiard, and it is argued that this is generic for integrable systems.
引用
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页码:7 / 12
页数:6
相关论文
共 20 条
[1]   Random matrix theory of a chaotic Andreev quantum dot [J].
Altland, A ;
Zirnbauer, MR .
PHYSICAL REVIEW LETTERS, 1996, 76 (18) :3420-3423
[2]   Quantum chaos, irreversible classical dynamics, and random matrix theory [J].
Andreev, AV ;
Agam, O ;
Simons, BD ;
Altshuler, BL .
PHYSICAL REVIEW LETTERS, 1996, 76 (21) :3947-3950
[3]   Quantum-chaotic scattering effects in semiconductor microstructures [J].
Baranger, Harold U. ;
Jalabert, Rodolfo A. ;
Stone, A. Douglas .
CHAOS, 1993, 3 (04) :665-682
[4]  
BARANGER HU, 1996, NANOTECHNOLOGY
[5]   DECAY OF ORDERED AND CHAOTIC SYSTEMS [J].
BAUER, W ;
BERTSCH, GF .
PHYSICAL REVIEW LETTERS, 1990, 65 (18) :2213-2216
[6]   UNIVERSAL LIMIT OF CRITICAL-CURRENT FLUCTUATIONS IN MESOSCOPIC JOSEPHSON-JUNCTIONS [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW LETTERS, 1991, 67 (27) :3836-3839
[7]   CORRECTION [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW LETTERS, 1992, 68 (09) :1442-1442
[9]  
BERRY MV, 1991, CHAOS QUANTUM PHYSIC
[10]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4