Quantum pumping and dissipation: From closed to open systems

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39 Scopus citations


Current can be pumped through a closed system by changing parameters (or fields) in time. The Kubo formula allows one to distinguish between dissipative and nondissipative contributions to the current. We obtain a Green function expression and an S-matrix formula for the associated terms in the generalized conductance matrix: the “geometric magnetism” term that corresponds to adiabatic transport, and the “Fermi golden rule” term which is responsible for the irreversible absorption of energy. We explain the subtle limit of an infinite system, and demonstrate the consistency with the formulas by Landauer and Büttiker, Prétre and Thomas. We also discuss the generalization of the fluctuation-dissipation relation, and the implications of the Onsager reciprocity.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number20
StatePublished - 14 Nov 2003

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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