2008/10/21 by O. Fialko, K. Ziegler
Mathematics · Physics and Astronomy · #Anderson localization #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical exponent #Delocalized electron #Exponent #Fermion #Ising model #Lattice (music) #Mathematics #Phase transition #Physics #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Scaling #Transfer matrix #cond-mat.dis-nn
paper · pdf · doi:10.1209/0295-5075/85/60003
published as Europhys. Lett. 85, 60003 (2009) · 5 pages, 4 figures
arxiv created 2008/10/21 · openalex publication_date 2009/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 ν≈0.88.