TDDFT and Strongly Correlated Systems: Insight From Numerical Studies

2007/07/14 by Verdozzi, Claudio
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.0707.2317

Abstract

We illustrate the scope of Time Dependent Density Functional Theory (TDDFT) for strongly correlated (lattice) models out of equilibrium. Using the exact many body time evolution, we reverse engineer the exact exchange correlation (xc) potential v_xc for small Hubbard chains exposed to time-dependent fields. We introduce an adiabatic local density approximation (ALDA) to v_xc for the 1D Hubbard model and compare it to exact results, to gain insight about approximate xc potentials. Finally, we provide some remarks on the v-representability for the 1D Hubbard model.

Related

• Prevalence of the adiabatic exchange-correlation potential approximation in time-dependent density functional theory
• Density-matrix coupled time-dependent exchange-correlation functional approximations
• Nonadiabatic exchange-correlation kernel for strongly correlated\n materials
• TIME-DEPENDENT DENSITY FUNCTIONAL THEORY
• Ensemble Time-Dependent Density Functional Theory