Collective behavior in disordered and correlated quantum systems

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These lectures will provide an introduction to several interesting problems
in complex quantum systems where disorder and interactions compete.

Main Topics

  • Strong Coulomb correlations in semiconductors and close to the metal insulator transition: electronic glasses, Coulomb gap, and transport in disordered insulators
  • Review of Anderson localization
  • Dirty superconductors: Anderson’s theorem and its breakdown
  • Dirty bosons (disordered bose Hubbard model), the superconductor-insulator transition and the bose glass
  • Localization in the presence of interaction
  • Localization in Fock space and the search for genuine quantum glasses

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