Abstract
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
d
+
c
=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.