Adiabatic charge pumping in open quantum systems

被引：18

作者：

Avron, JE ^{[1
]}

Elgart, A

Graf, GM

Sadun, L

Schnee, K

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[3] ETH Honggerberg, CH-8093 Zurich, Switzerland

[4] Univ Texas, Dept Math, Austin, TX 78712 USA

[5] ETH, CH-8093 Zurich, Switzerland

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2004年 / 57卷 / 04期

关键词：

D O I：

10.1002/cpa.3051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a mathematical setup for charge transport in quantum pumps connected to a number of external leads. It is proven that under the rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current through the pump is given by a formula of Buttiker, Pretre, and Thomas, relating it to the frozen S matrix and its time derivative. (C) 2004 Wiley Periodicals, Inc.

引用

页码：528 / 561

页数：34