Ehrenfest-time-dependent excitation gap in a chaotic Andreev billiard

被引：20

作者：

Adagideli, I ^{[1
]}

Beenakker, CWJ ^{[1
]}

机构：

[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.89.237002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A semiclassical theory is developed for the appearance of an excitation gap in a ballistic chaotic cavity connected by a point contact to a superconductor. Diffraction at the point contact is a singular perturbation in the limit (h) over bar -->0, which opens up a gap E-gap in the excitation spectrum. The time scale (h) over bar /E(gap)proportional toalpha(-1)lnh (with alpha the Lyapunov exponent) is the Ehrenfest time, the characteristic time scale of quantum chaos.

引用

页码：1 / 237002

页数：4

共 23 条

[1] Quantal Andreev billiards: Density of states oscillations and the spectrum-geometry relationship [J].

Adagideli, I ;

Goldbart, PM .

PHYSICAL REVIEW B, 2002, 65 (20) :1-4

[2] Divergence of classical trajectories and weak localization [J].

Aleiner, IL ;

Larkin, AI .

PHYSICAL REVIEW B, 1996, 54 (20) :14423-14444

[3] Role of divergence of classical trajectories in quantum chaos [J].

Aleiner, IL ;

Larkin, AI .

PHYSICAL REVIEW E, 1997, 55 (02) :R1243-R1246

[4]

ANDREEV AF, 1964, SOV PHYS JETP-USSR, V19, P1228

[5] DECAY OF ORDERED AND CHAOTIC SYSTEMS [J].

BAUER, W ;

BERTSCH, GF .

PHYSICAL REVIEW LETTERS, 1990, 65 (18) :2213-2216

[6] BOUNDARY EFFECTS IN SUPERCONDUCTORS [J].

DEGENNES, PG .

REVIEWS OF MODERN PHYSICS, 1964, 36 (1P1) :225-+

[7] Algorithm 775: The code SLEUTH for solving fourth-order Sturm-Liouville problems [J].

Greenberg, L ;

Marletta, M .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1997, 23 (04) :453-493

[8] Non-universal features in the quasi-particle excitation spectra of Andreev billiards and wires [J].

Ihra, W ;

Richter, K .

PHYSICA E, 2001, 9 (03) :362-368

[9] Semiclassical theory of integrable and rough Andreev billiards [J].

Ihra, W ;

Leadbeater, M ;

Vega, JL ;

Richter, K .

EUROPEAN PHYSICAL JOURNAL B, 2001, 21 (03) :425-435

[10] CHAOS IN ANDREEV BILLIARDS [J].

KOSZTIN, I ;

MASLOV, DL ;

GOLDBART, PM .

PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1735-1738

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