Effect of disorder on a Pomeranchuk instability

Physics – Condensed Matter – Strongly Correlated Electrons

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4.1 pages, 3 figs. Version as published in EPL. Added data of Sr3Ru2O7 to theory curves of Fig.2, and some clarification of de

Scientific paper

10.1209/0295-5075/84/27007

We study the effect of 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 $d_{x^2 +y^2}$ 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 might be a useful indicator of a finite angular momentum Fermi surface distortion.

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