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arXiv · hep-lat/9405017

Adiabatic Quantum Transport: Quantization and Fluctuations

J. E. Avron·R. Seiler·P. Zograf
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Abstract

Quillen's local index theorem is used to study the charge transport coefficients (adiabatic curvature) associated to the ground state of a Schrödinger operator for a charged (spinless) particle on a closed, multiply connected surface. The formula splits the adiabatic curvature into an explicit integral part and a fluctuating part which has a natural interpretation in terms of quantum chaos.

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J. E. Avron, R. Seiler, P. Zograf. 1994-05-23. Adiabatic Quantum Transport: Quantization and Fluctuations. https://doi.org/10.1103/physrevlett.73.3255

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