Nonanalyticities in a Strongly Correlated Fermi Liquid: Corrections to Scaling at the Fermi-Liquid Fixed Point

Abstract

We use scaling and renormalization-group techniques to analyze the leading nonanalyticities in a Fermi liquid. We show that a physically motivated scaling hypothesis reproduce the results known from perturbation theory for the density of states, the density-of-states fluctuations, the specific heat, the spin susceptibility, and the nematic magnetic susceptibility. We also discuss the absence of nonanalytic terms in the density susceptibility. We then use a recent effective field theory for clean electron systems to derive the scaling hypothesis by means of renormalization-group techniques. This shows that the exponents (although not the prefactors) of the nonanalyticities that were previously derived by means of perturbative techniques are indeed exact, and can be understood as the leading corrections to scaling at the stable Fermi-liquid fixed point.

19pp

References in corpus (2)

• Disparity of superconducting and pseudogap scales in low-Tc Bi-2201 cuprates
• Cooper channel and the singularities in the thermodynamics of a Fermi liquid

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• Magnon-induced long-range correlations and their neutron-scattering signature in quantum magnets
• Spin dynamics of antiferromagnets in the presence of a homogeneous magnetization
• Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations