Berlin 2005 – scientific programme

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TT: Tiefe Temperaturen

TT 16: Posters Correlated Electrons, Measuring Devices, Cryotechnique

TT 16.86: Poster

Saturday, March 5, 2005, 11:00–16:30, Poster TU C

Time-Dependent Density Functional Theory of Disordered Metals — •V. G. Valeyev^1,2 and O. Pankratov¹ — ¹Lehrstuhl für Theoretische Festkörperphysik, Universität Erlangen-Nürnberg, Staudtstr. 7/B2, 91058 Erlangen, Germany — ²A. I. Alikhanov Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya, 25, 117218 Moscow, Russia

Time-dependent density functional theory for the interacting electron system with disorder is developed using the Keldysh dynamical formulation, [1,2]. Allowing for the averaging of the partition function over the realizations of the disorder potential, this approach circumvents the averaging of the highly non-linear Kohn-Sham equation. Our main result is the novel formulation of TD DFT, where the electron and the current density, as well as the one-particle density of states are determined by the distribution function of the Kohn-Sham particles, naturally emerging from the Keldysh formalism. Introduction of the exchange-correlation potential in fact is an alternative method to solve the appropriate saddle-point equation, which has now a structure of the Vlasov-type kinetic equation for the Kohn-Sham distribution function with the exchange-correlation potential as a self-consistent field. The time-dependent OEP-approximation for the latter is derived, accounting for the diffusive motion of electrons in the system. It describes the low-temperature quantum interference phenomena in a disordered conductor with the long-ranged Coulomb interaction. References: [1] L.V. Keldysh, Zh. Eksp. Theor. Fiz. 47, 1515 (1964) [Sov. Phys. JETP 20, 1018 (1965)]. [2] A. Kamenev and A. Andreev, Phys. Rev. B60, 2218 (1999).