Dresden 2009 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 6: Postersession Correlated Electrons: (General) Theory, Low-Dimensional Systems, Kondo Physics, Heavy Fermions, Quantum-Critical Phenomena
TT 6.31: Poster
Montag, 23. März 2009, 13:00–16:45, P1A
Quantum-Phase-Transition within Density Functional Theory using exact Exchange-Correlation Potentials — •Martin Moch1 and Peter Schmitteckert1,2 — 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76021 Karlsruhe, Germany — 2Institut für Nanotechnologie, Forschungszentrum Karlsruhe, D-76021 Karlsruhe, Germany
Density Functional Theory (DFT) is one of the most widely used numerical tools to study properties of interacting Fermi systems. In our work we consider the question whether DFT is able to describe the quantum phase transitions based on the interplay of disorder and interaction. To this end we calculate exact Kohn-Sham potentials for disordered, interacting, half-filled, one-dimensional Fermi systems from the local densities obtained from the Density Matrix Renormalization Group (DMRG) calculations. In the framework of Anderson localization one-dimensional systems are always localized. However, for attractive interaction the real system undergoes a phase transition to a metallic phase at a finite interaction. Here we report on the manifestation of this phase transition in the effective non-interacting DFT description.