ANDERSON-MOTT TRANSITION AS A RANDOM-FIELD PROBLEM

The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the Anderson-Mott transition shows that random-field terms appear at one-loop order. They lead to an upper critical dimension dc+=6 for this model. For d>6 the critical behavior is mean-field-like. For d<6 an ε expansion yields exponents that coincide with those for the random-field Ising model. Implications of these results are discussed. © 1995 The American Physical Society.