Seminarium "Teoria i Modelowanie Nanostruktur"

Recent experiments with ultra cold atoms in optical lattices [1] has drawn us to investigate the phase diagram of correlated lattice fermions at half-filling in the presence of the spin-dependent random potential [2],[3]. The corresponding Anderson-Hubbard model is solved within the dynamical mean field theory with geometrically averaged local density of states [4], which makes our theory sensitive to the Anderson localization. A complete paramagnetic phase diagram for the ground state is determined. The spin-dependent disorder tends to destabilize the metallic solution in contrast to the normal disorder [6]. For strong disorder, above the critical point for the Mott transition, novel spin-dependent localized phases are found. Preliminary results for a magnetic ground state phase diagram at half-filling will be presented as well.[1] D. McKay and B. DeMarco, New J. Phys. 12, 055013 (2010). [2] K. Makuch, J. Skolimowski, P. B. Chakraborty, K. Byczuk and D. Vollhardt, New J. Phys. 15, 045031 (2013) [3] R. Nanguneri, M. Jiang, T. Cary, G. G. Batrouni and R.T. Scalettar, Phys. Rev. B 85, 134506 (2012) [4] V. Dobrosavljevic ,A. A. Pastor and B. K. Nikolic, Europhys. Lett. 62, 76 (2003)[6] K. Byczuk, W. Hofstetter, D. Vollhardt, Phys. Rev. Lett. 94, 056404 (2005).