Equivalence of Topological and Scattering Approaches to Quantum Pumping

被引：31

作者：

Braeunlich, G. ^{[1
]}

Graf, G. M. ^{[1
]}

Ortelli, G. ^{[1
]}

机构：

[1] ETH, CH-8093 Zurich, Switzerland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 295卷 / 01期

关键词：

SELF-ADJOINTNESS; TRANSPORT; SYSTEMS;

D O I：

10.1007/s00220-009-0983-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Schrodinger equation with a potential periodically varying in time is used to model adiabatic quantum pumps. The systems considered may be either infinitely extended and gapped or finite and connected to gapless leads. Correspondingly, two descriptions of the transported charge, one relating to a Chern number and the other to a scattering matrix, have been available for some time. Here we generalize the first one and establish its equivalence to the second.

引用

收藏

页码：243 / 259

页数：17

相关论文

共 19 条

[1]

[Anonymous], 1954, DOKL AKAD NAUK SSSR+

[2] ADIABATIC THEOREMS AND APPLICATIONS TO THE QUANTUM HALL-EFFECT (VOL 110, PG 33, 1987) [J].

AVRON, JE ;

SEILER, R ;

YAFFE, LG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 156 (03) :649-650

[3] Transport and dissipation in quantum pumps [J].

Avron, JE ;

Elgart, A ;

Graf, GM ;

Sadun, L .

JOURNAL OF STATISTICAL PHYSICS, 2004, 116 (1-4) :425-473

[4] Adiabatic charge pumping in open quantum systems [J].

Avron, JE ;

Elgart, A ;

Graf, GM ;

Sadun, L ;

Schnee, K .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (04) :528-561

[5] 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

[6] Gigahertz quantized charge pumping [J].

Blumenthal, M. D. ;

Kaestner, B. ;

Li, L. ;

Giblin, S. ;

Janssen, T. J. B. M. ;

Pepper, M. ;

Anderson, D. ;

Jones, G. ;

Ritchie, D. A. .

NATURE PHYSICS, 2007, 3 (05) :343-347

[7] Scattering approach to parametric pumping [J].

Brouwer, PW .

PHYSICAL REVIEW B, 1998, 58 (16) :10135-10138

[8] CURRENT PARTITION IN MULTIPROBE CONDUCTORS IN THE PRESENCE OF SLOWLY OSCILLATING EXTERNAL POTENTIALS [J].

BUTTIKER, M ;

THOMAS, H ;

PRETRE, A .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1994, 94 (1-2) :133-137

[9] Quantum charge pumping and electric polarization in Anderson insulators [J].

Chern, Chyh-Hong ;

Onoda, Shigeki ;

Murakami, Shuichi ;

Nagaosa, Naoto .

PHYSICAL REVIEW B, 2007, 76 (03)

[10] On Povzner-Wienholtz-type self-adjointness results for matrix-valued Sturm-Liouville operators [J].

Clark, S ;

Gesztesy, F .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2003, 133 :747-758