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
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