Abstract
We study the effect of weak and dilute disorder on the order parameter equation and transition temperature of a Pomeranchuk-type Fermi-surface instability using replica mean-field theory. We consider the example of a phase transition to a dx2- y2 type Fermi surface distortion, and show that, in the regime where such a transition is second order, the transition temperature is reduced by disorder in essentially the same way as that for a d-wave superconductor. We argue that observing this disorder dependence of metal-to-metal transition is a useful indicator of a finite angular momentum Fermi surface distortion.
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