Effect of disorder on a Pomeranchuk instability

Abstract

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.

arXiv comment4.1 pages, 3 figs. Version as published in EPL. Added data of Sr3Ru2O7 to theory curves of Fig.2, and some clarification of derivation of results

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Cited by in corpus (18)

• Nematic Fermi Fluids in Condensed Matter Physics
• Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Enhancement of Tc by point-like disorder and anisotropic gap in FeSe
• Multiscale quantum criticality: Pomeranchuk instability in isotropic metals
• Shape resonance for the anisotropic superconducting gaps near a Lifshitz transition: the effect of electron hopping between layers
• Spontaneous Fermi surface symmetry breaking in bilayered systems
• Self-masking of spontaneous symmetry breaking in layer materials
• Raman scattering near a d-wave Pomeranchuk instability
• Nature of the quantum phase transition to a spin-nematic phase
• Effect of disorder on the competition between nematic and superconducting order in FeSe
• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound
• Singular non-ordering susceptibility at a Pomeranchuk instability
• Quantum Criticality and Novel Phases: Summary and Outlook
• Electronic nematic phase transition in the presence of anisotropy
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Disorder-Induced Electronic Nematicity
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Electronic spin-triplet nematic with a twist