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Exact time-dependent density functional theory for impurity models

We employ the density matrix renormalization group to construct the exact time-dependent exchange correlation potential for an impurity model with an applied transport voltage. Even for short-ranged interaction we find an infinitely long-ranged exchange correlation potential which is built up {insta...

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Published in:arXiv.org 2012-05
Main Authors: Schmitteckert, Peter, Dzierzawa, Michael, Schwab, Peter
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Dzierzawa, Michael
Schwab, Peter
description We employ the density matrix renormalization group to construct the exact time-dependent exchange correlation potential for an impurity model with an applied transport voltage. Even for short-ranged interaction we find an infinitely long-ranged exchange correlation potential which is built up {instantly} after switching on the voltage. Our result demonstrates the fundamental difficulties of transport calculations based on time-dependent density functional theory. While formally the approach works, important information can be missing in the ground-state functionals and may be hidden in the usually unknown non-equilibrium functionals.
doi_str_mv 10.48550/arxiv.1205.4854
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subjects Density functional theory
Electric potential
Exchanging
Impurities
Time dependence
title Exact time-dependent density functional theory for impurity models
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