The mobility edge as a spin-glass problem

摘要: An analogy is considered between long-range properties of the Green function G an electron moving in a random potential, near mobility edge, and those spin-spin correlation functions, obtained for Ginzburg-Landau Gaussian model. The absence 'ferromagnetic' order latter model related to short range average G. squared modulus may become long ranged. This analogous 'spin-glass' like phase. transition deviates from mean-field theory dimensionalities d<4. Renormalisation group, epsilon expansion n 0 replica trick are used analyse appropriate fixed points. For few impurities, no point can be reached, probably because localisation edge exists. larger disorder, 'isotropic', n=0 interpreted as leading percolation. still Anderson result.