Generalized Kubo formulas for the transport properties of incommensurate 2D atomic heterostructures

被引：27

作者：

Cances, Eric ^{[1
]}

Cazeaux, Paul ^{[2
]}

Luskin, Mitchell ^{[2
]}

机构：

[1] Ecole Ponts & Inria Paris, CERMICS, 6 & 8 Ave Blaise Pascal, F-77455 Marne La Vallee 2, France

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 06期

关键词：

QUANTUM TRANSPORT;

D O I：

10.1063/1.4984041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give an exact formulation for the transport coefficients of incommensurate two-dimensional atomic multilayer systems in the tight-binding approximation. This formulation is based upon the C* algebra framework introduced by Bellissard and collaborators [Coherent and Dissipative Transport in Aperiodic Solids, Lecture Notes in Physics (Springer, 2003), Vol. 597, pp. 413-486 and J. Math. Phys. 35(10), 5373-5451 (1994)] to study aperiodic solids (disordered crystals, quasicrystals, and amorphous materials), notably in the presence of magnetic fields (quantum Hall effect). We also present numerical approximations and test our methods on a one-dimensional incommensurate bilayer system. Published by AIP Publishing.

引用

页数：23

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