Equivalence of topological and scattering approaches to quantum pumping
Mathematical Physics
2015-05-13 v3 Mesoscale and Nanoscale Physics
math.MP
Abstract
The Schroedinger 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.
Keywords
Cite
@article{arxiv.0902.4638,
title = {Equivalence of topological and scattering approaches to quantum pumping},
author = {G. Braeunlich and G. M. Graf and G. Ortelli},
journal= {arXiv preprint arXiv:0902.4638},
year = {2015}
}
Comments
LaTeX, 18 pages, replaced by version accepted for publication