QUANTUM PERSISTENT CURRENTS AND CLASSICAL PERIODIC-ORBITS

被引：32

作者：

VONOPPEN, F ^{[1
]}

RIEDEL, EK ^{[1
]}

机构：

[1] UNIV WASHINGTON, DEPT PHYS, SEATTLE, WA 98195 USA

来源：

PHYSICAL REVIEW B | 1993年 / 48卷 / 12期

关键词：

D O I：

10.1103/PhysRevB.48.9170

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Semiclassical theory relates mesoscopic persistent currents to classical periodic orbits. This is used to demonstrate that persistent currents are a sensitive probe of quantum chaos, exhibiting different universal dependences on the Fermi velocity for integrable and for completely chaotic ballistic microstructures. A study of the Sinai-billiard geometry reveals that the universality classes do not coincide with those of the spectral spacing distribution. Our conclusions are supported by numerical calculations.

引用

收藏

页码：9170 / 9173

页数：4

相关论文

共 25 条

[1] PERSISTENT DIFFERENCES BETWEEN CANONICAL AND GRAND CANONICAL AVERAGES IN MESOSCOPIC ENSEMBLES - LARGE PARAMAGNETIC ORBITAL SUSCEPTIBILITIES [J].

ALTSHULER, BL ;

GEFEN, Y ;

IMRY, Y .

PHYSICAL REVIEW LETTERS, 1991, 66 (01) :88-91

[2] COHERENCE AND PERSISTENT CURRENTS IN MESOSCOPIC RINGS [J].

AMBEGAOKAR, V ;

ECKERN, U .

PHYSICAL REVIEW LETTERS, 1990, 65 (03) :381-384

[3]

[Anonymous], 1970, RUSS MATH SURV, DOI [10.1070/RM1970v025n02ABEH003794, DOI 10.1070/RM1970V025N02ABEH003794]

[4] SEMICLASSICAL ANALYSIS OF SPECTRAL CORRELATIONS IN MESOSCOPIC SYSTEMS [J].

ARGAMAN, N ;

IMRY, Y ;

SMILANSKY, U .

PHYSICAL REVIEW B, 1993, 47 (08) :4440-4457

[5] SEMICLASSICAL THEORY OF SPECTRAL RIGIDITY [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 400 (1819) :229-251

[6] QUANTIZING A CLASSICALLY ERGODIC SYSTEM - SINAI BILLIARD AND THE KKR METHOD [J].

BERRY, MV .

ANNALS OF PHYSICS, 1981, 131 (01) :163-216

[7]

BOHIGAS O, 1991, CHAOS QUANTUM PHYSIC, P201

[8] JOSEPHSON BEHAVIOR IN SMALL NORMAL ONE-DIMENSIONAL RINGS [J].

BUTTIKER, M ;

IMRY, Y ;

LANDAUER, R .

PHYSICS LETTERS A, 1983, 96 (07) :365-367

[9] MAGNETIC RESPONSE OF A SINGLE, ISOLATED GOLD LOOP [J].

CHANDRASEKHAR, V ;

WEBB, RA ;

BRADY, MJ ;

KETCHEN, MB ;

GALLAGHER, WJ ;

KLEINSASSER, A .

PHYSICAL REVIEW LETTERS, 1991, 67 (25) :3578-3581

[10] PERSISTENT CURRENTS IN MESOSCOPIC RINGS AND CYLINDERS [J].

CHEUNG, HF ;

RIEDEL, EK ;

GEFEN, Y .

PHYSICAL REVIEW LETTERS, 1989, 62 (05) :587-590