Effect of disorder on a Pomeranchuk instabilityA. F. Ho1 and A. J. Schofield2
1 Department of Physics, Royal Holloway, University of London - Egham, Surrey TW20 0EX, UK, EU
2 School of Physics and Astronomy, University of Birmingham - Birmingham B15 2TT, UK, EU
received 23 July 2008; accepted in final form 9 September 2008; published October 2008
published online 14 October 2008
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.
71.10.Ay - Fermi-liquid theory and other phenomenological models.
71.23.-k - Electronic structure of disordered solids.
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