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math-ph2005★ 2 cited
Semicircle law and freeness for random matrices with symmetries or correlations
Jeffrey H. Schenker, Hermann Schulz-Baldes
For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective…
math-ph2004★ 79 cited
Linear response theory for magnetic Schroedinger operators in disordered media
Jean-Marc Bouclet, Francois Germinet, Abel Klein +1
We justify the linear response theory for an ergodic Schroedinger operator with magnetic field within the non-interacting particle approximation, and derive a Kubo formula for the…