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Wegner estimate and Anderson localization for random magnetic fields
Wegner estimate Anderson localization random Schr¨odinger operator
2011/2/25
We consider a two dimensional magnetic Schr¨odinger operator with a spatially stationary random magnetic field. We assume that the magnetic field has a positive lower bound and that it has Fourier mod...
Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
Exact solution for eigenfunction statistics Anderson localization model
2010/11/24
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one-
dimensional (1D) Anderson model of localization. By deriving and solving an equation for the
generating f...
Commensurability effects in one-dimensional Anderson localization: anomalies in eigenfunction statistics
Commensurability effects eigenfunction statistics
2010/11/18
The one-dimensional (1d) Anderson model (AM), i.e. a tight-binding chain with uncorrelated Gaussian disorder in the on-site energies, has statistical anomalies at any rational point f = 2a E , where ...
The understanding of disordered quantum systems is still far from being complete, despite many
decades of research on a variety of physical systems. In this review we discuss how Bose-Einstein conden...