A measure of conductivity for lattice fermions at finite density
J. L. Alonso, L. A. Fernandez, and V. Martin-Mayor
TL;DR
This paper introduces a numerical method to measure Euclidean conductivity in lattice fermion systems at zero temperature, aligning with analytical results for free fermions and adaptable to interacting systems.
Contribution
The authors develop a numerical approach for Euclidean conductivity measurement applicable to both free and interacting lattice fermion systems.
Findings
Numerical results agree with analytical calculations for free fermions.
Method is generalizable to systems with dynamical interactions.
Provides a new tool for studying conductivity in complex lattice systems.
Abstract
We study the linear response to an external electric field of a system of fermions in a lattice at zero temperature. This allows to measure numerically the Euclidean conductivity which turns out to be compatible with an analytical calculation for free fermions. The numerical method is generalizable to systems with dynamical interactions where no analytical approach is possible.
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