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Current, conduction, and localization in quantum many-body systems

2014/06/03 by Balázs Hetényi, Hetényi, Balázs
Materials Science · Chemistry · Physics and Astronomy · #Machine Learning in Materials Science #Advanced Physical and Chemical Molecular Interactions #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1406.0712

Abstract

A representation of current is presented which can account for ideal conduction and distinguish superconductors, superfluids, ideal, and non-ideal conductors. The idea of the scheme is that different current operators and transport weights can be constructed based on the number of charge carriers in basic units of conduction. Ideal conductors with basic units of p charge carriers exhibit a flux quantization rule of ΦB=nhc/(pe) (for example p=2 for BCS). Extension of the current operators to lattice systems is also presented. A full diagonalization calculation for an interacting model of spinless fermions of all the transport coefficients is carried out. It is shown that in a number of strongly correlated models ideal conduction involving the simultaneous motion of all charge carriers is possible.

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