Symmetries of Multifractal Spectra and Field Theories of Anderson Localization

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• Prof Ilya Gruzberg, U of Chicago
• Thursday 27 October 2011, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Dr Dimitri M Gangardt.

We uncover the field-theoretical origin of symmetry relations for multifractal spectra at Anderson transitions and at critical points of other disordered systems. We show that such relations follow from the conformal invariance of the critical theory, which implies their general character.We also demonstrate that for the Anderson localization problem the entire probability distribution for the local density of states possesses a symmetry arising from the invariance of correlation functions of the underlying nonlinear
model with respect to the Weyl group of the target space of the model.

This talk is part of the Theoretical Physics Seminars series.

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