Equivalence of Topological and Scattering Approaches to Quantum Pumping

The Schrödinger 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...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 295; no. 1; pp. 243 - 259
Main Authors Bräunlich, G., Graf, G. M., Ortelli, G.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.04.2010
Subjects
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Dirichlet Eigenvalue
Charge Transport
Fermi Energy
Quantum Hall Effect
Chern Number
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Summary:The Schrödinger 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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-009-0983-1