# Dresden 2006 – wissenschaftliches Programm

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# TT: Tiefe Temperaturen

## TT 31: Correlated Electrons: Metal Insulator Transition - Part 2

### TT 31.14: Vortrag

### Donnerstag, 30. März 2006, 17:30–17:45, HSZ 301

**Gapped and gapless phases of the Hubbard model with disorder** — •Krzysztof Byczuk^{1}, Walter Hofstetter^{2}, and Dieter Vollhardt^{1} — ^{1}Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute for Physics, University of Augsburg, 86135 Augsburg, Germany — ^{2}Institut of Theoretical Physic A, RWTH Aachen, Templergraben 55, 52056 Aachen, Germany

The ground state phase diagram of correlated electrons with disorder is calculated within dynamical mean-field theory using the geometrically averaged (”typical”) local density of states. The transitions between different gapped and gapless phases (paramagnetic, antiferromagnetic, Anderson localized) are described. In particular, the metal-insulator transition due to electronic correlations (No-dqMott-Hubbard transitionNo-dq) and disorder (No-dqAnderson localizationNo-dq), respectively, and the transition between a Slater and a Heisenberg antiferromagnet are discussed. The staggered magnetization is calculated as a function of disorder strength and interaction.

K. Byczuk, W. Hofstetter, and D. Vollhardt, Phys. Rev. Lett. 94, 056404 (2005); Physica B 359-361, 651 (2005).