Anderson localization in a correlated fermionic mixture

Details Anderson localization in a correlated fermionic mixture Anderson localization in a correlated fermionic mixture

2008-10-21

arxiv.org/abs/0810.3812v1

Europhys. Lett. 85, 60003 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures

Scientific paper

10.1209/0295-5075/85/60003

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 $\nu\approx 0.88$.

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