• Editors' Suggestion

Time-dependent current density functional theory on a lattice

I. V. Tokatly
Phys. Rev. B 83, 035127 – Published 31 January 2011

Abstract

A rigorous formulation of time-dependent current density functional theory (TDCDFT) on a lattice is presented. The density-to-potential mapping and the V-representability problems are reduced to a solution of a certain nonlinear lattice Schrödinger equation, to which the standard existence and uniqueness results for nonlinear differential equations are applicable. For two versions of the lattice TDCDFT, we prove that any continuous-in-time current density is locally V-representable (both interacting and noninteracting), provided that in the initial state the local kinetic energy is nonzero everywhere. In most cases of physical interest, the V-representability should also hold globally in time. These results put the application of TDCDFT to any lattice model on a firm foundation, and pave the way for studying exact properties of exchange-correlation potentials.

  • Received 12 November 2010

DOI:https://doi.org/10.1103/PhysRevB.83.035127

© 2011 American Physical Society

Authors & Affiliations

I. V. Tokatly*

  • Nano-Bio Spectroscopy Group and ETSF Scientific Development Centre, Departamento de Física de Materiales, Universidad del Pais Vasco UPV/EHU, E-20018 San Sebastían, Spain and IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain

  • *Ilya_Tokatly@ehu.es

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 83, Iss. 3 — 1 January 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×