The mobility edge problem: Continuous symmetry and a conjecture

  title={The mobility edge problem: Continuous symmetry and a conjecture},
  author={Franz J. Wegner},
  journal={Zeitschrift f{\"u}r Physik B Condensed Matter},
  • F. Wegner
  • Published 1979
  • Physics
  • Zeitschrift für Physik B Condensed Matter
An apparently overlooked symmetry of the disordered electron problem is derived. It yields the well-known Ward-identity connecting the one- and two-particle Green's function. This symmetry and the apparent shortrange behaviour of the averaged one-particle Green's function are used to conjecture that the critical behaviour near the mobility edge coincides with that of interacting matrices which have two different eigenvalues of multiplicity zero (due to replicas). As a consequence the exponents… Expand
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