Adiabatic Quantum Transport: Quantization and Fluctuations
High Energy Physics - Lattice
2009-10-22 v1
Abstract
Quillen's local index theorem is used to study the charge transport coefficients (adiabatic curvature) associated to the ground state of a Schr\"odinger 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.
Cite
@article{arxiv.hep-lat/9405017,
title = {Adiabatic Quantum Transport: Quantization and Fluctuations},
author = {J. E. Avron and R. Seiler and P. Zograf},
journal= {arXiv preprint arXiv:hep-lat/9405017},
year = {2009}
}
Comments
10 pages