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Equivalence of Topological and Scattering Approaches to Quantum Pumping

Bräunlich, G. ; Graf, G. ; Ortelli, G.

In: Communications in Mathematical Physics, 2010, vol. 295, no. 1, p. 243-259

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    Titre
    • Equivalence of Topological and Scattering Approaches to Quantum Pumping
    Auteur
    • Bräunlich, G.. Theoretische Physik, ETH-Zürich, CH-8093, Zürich, Switzerland
    • Graf, G.. Theoretische Physik, ETH-Zürich, CH-8093, Zürich, Switzerland
    • Ortelli, G.. Theoretische Physik, ETH-Zürich, CH-8093, Zürich, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Communications in Mathematical Physics, 2010, vol. 295, no. 1, p. 243-259. Springer-Verlag
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:314932
    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