ADIABATIC QUANTUM TRANSPORT - QUANTIZATION AND FLUCTUATIONS

被引：20

作者：

AVRON, JE ^{[1
]}

SEILER, R ^{[1
]}

ZOGRAF, PG ^{[1
]}

机构：

[1] FREE UNIV BERLIN,FACHBEREICH MATH,W-1000 BERLIN,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.73.3255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quillen's local index theorem is used to study the charge transport coefficients (adiabatic curvature) associated with the ground state of the Schrödinger operator for charged (spin less) particles on a closed, multiply connected surface. The formula splits the adiabatic curvature into an explicit integral part and a fluctuating part depending on the regularized determinant of the Hamiltonian. © 1994 The American Physical Society.

引用

页码：3255 / 3257

页数：3

共 25 条

[1] THE THOULESS FORMULA - FROM DISORDERED TO CHAOTIC SPECTRA [J].

AKKERMANS, E .

PHYSICA A, 1993, 200 (1-4) :530-537

[2]

ALTSHULER BL, 1992, 1991 P INT S NAN MES

[3] THETA-FUNCTIONS, MODULAR INVARIANCE, AND STRINGS [J].

ALVAREZGAUME, L ;

MOORE, G ;

VAFA, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 106 (01) :1-40

[4] SCATTERING ON A HYPERBOLIC TORUS IN A CONSTANT MAGNETIC-FIELD [J].

ANTOINE, M ;

COMTET, A ;

OUVRY, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (16) :3699-3710

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

ARGAMAN, N ;

IMRY, Y ;

SMILANSKY, U .

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

[6] HALL CONDUCTANCE AND ADIABATIC CHARGE TRANSPORT OF LEAKY TORI [J].

AVRON, JE ;

KLEIN, M ;

PNUELI, A ;

SADUN, L .

PHYSICAL REVIEW LETTERS, 1992, 69 (01) :128-131

[7] ADIABATIC THEOREMS AND APPLICATIONS TO THE QUANTUM HALL-EFFECT [J].

AVRON, JE ;

SEILER, R ;

YAFFE, LG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 110 (01) :33-49

[8]

BALASZ N, 1986, PHYS REP, V143, P103

[9]

BALASZ N, 1989, 52 P LES HOUCH SUMM

[10]

Berry M. V., 1989, GEOMETRIC PHASES PHY

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