Anderson localization in correlated fermionic mixturesO. Fialko and K. Ziegler
Institut für Physik, Universität Augsburg - D-86135 Augsburg, Germany, EU
received 19 December 2008; accepted in final form 19 February 2009; published March 2009
published online 26 March 2009
A mixture of two fermionic species with different masses is studied in an optical lattice. The heavy fermions are subject only to thermal fluctuations, the light fermions also to quantum fluctuations. We derive the Ising-like distribution for the heavy atoms and study the localization properties of the light fermions numerically by a transfer-matrix method. In a two-dimensional system one-parameter scaling of the localization length is found with a transition from delocalized states at low temperatures to localized states at high temperature. The critical exponent of the localization length is 0.88.
03.75.Ss - Degenerate Fermi gases.
67.85.-d - Ultracold gases, trapped gases.
71.30.+h - Metal–insulator transitions and other electronic transitions.
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