Form factor of a quantum graph in a weak magnetic field

被引：6

作者：

Nagao, T

Saito, K

机构：

[1] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

[2] Osaka Univ, Dept Phys, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan

[3] Univ Tokyo, Dept Appl Phys, Sch Engn, Bunkyo Ku, Tokyo 1138656, Japan

来源：

PHYSICS LETTERS A | 2003年 / 311卷 / 4-5期

关键词：

quantum graph; periodic orbit theory; random matrix;

D O I：

10.1016/S0375-9601(03)00496-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the periodic orbit theory, we evaluate the form factor of a quantum graph to which a very weak magnetic field is applied. The first correction to the diagonal approximation describing the transition between the universality classes is shown to be in agreement with Pandey and Mehta's formula of parametric random matrix theory. (C) 2003 Elsevier Science B.V. All rights reserved.

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页码：353 / 358

页数：6

相关论文

共 13 条

[1] Two-point spectral correlations for star graphs [J].

Berkolaiko, G ;

Keating, JP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (45) :7827-7841

[2] Leading off-diagonal correction to the form factor of large graphs [J].

Berkolaiko, G ;

Schanz, H ;

Whitney, RS .

PHYSICAL REVIEW LETTERS, 2002, 88 (10) :4

[3]

BERKOLAIKO G, CD0205014

[4] 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

[5] CHAOTIC DYNAMICS AND THE GOE-GUE TRANSITION [J].

BOHIGAS, O ;

GIANNONI, MJ ;

DEALMEIDA, AMO ;

SCHMIT, C .

NONLINEARITY, 1995, 8 (02) :203-221

[6] Quantum chaos on graphs [J].

Kottos, T ;

Smilansky, U .

PHYSICAL REVIEW LETTERS, 1997, 79 (24) :4794-4797

[7] ON SOME GAUSSIAN ENSEMBLES OF HERMITIAN MATRICES [J].

MEHTA, ML ;

PANDEY, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2655-2684

[8] GAUSSIAN ENSEMBLES OF RANDOM HERMITIAN MATRICES INTERMEDIATE BETWEEN ORTHOGONAL AND UNITARY ONES [J].

PANDEY, A ;

MEHTA, ML .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 87 (04) :449-468

[9] Semiclassical theory of chaotic quantum transport [J].

Richter, K ;

Sieber, M .

PHYSICAL REVIEW LETTERS, 2002, 89 (20) :206801-206801

[10] Periodic-orbit theory of Anderson localization on graphs [J].

Schanz, H ;

Smilansky, U .

PHYSICAL REVIEW LETTERS, 2000, 84 (07) :1427-1430