Efficient Time-Domain Approach for Linear Response Functions
Abstract
We derive the general Kubo formula in a form that solely utilizes the time evolution of displacement operators. The derivation is based on the decomposition of the linear response function into its time symmetric and time anti-symmetric part. We relate this form to the well-known fluctuation-dissipation formula and discuss theoretical and numerical aspects of it. The approach is illustrated with an analytical example for magnetic resonance as well as a numerical example where we analyze the electrical conductivity tensor and the Chern insulating state of the disordered Haldane model. We introduce a highly efficient time-domain approach that describes the quantum dynamics of the resistivity of this model with an at least 1000-fold better performance in comparison to existing time-evolution schemes.
Keywords
Cite
@article{arxiv.2104.08608,
title = {Efficient Time-Domain Approach for Linear Response Functions},
author = {Michel Panhans and Frank Ortmann},
journal= {arXiv preprint arXiv:2104.08608},
year = {2021}
}