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Universal corrections to the Fermi-liquid theory

A. V. Chubukov·D. L. Maslov
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Abstract

We show that the singularities in the dynamical bosonic response functions of a generic 2D Fermi liquid give rise to universal, non-analytic corrections to the Fermi-liquid theory. These corrections yield a $T^2$ term in the specific heat, $T$ terms in the effective mass and the uniform spin susceptibility $χ_s (Q=0,T)$, and $|Q|$ term in $χ_s (Q,T=0)$. The existence of these terms has been the subject of recent controversy, which is resolved in this paper. We present exact expressions for all non-analytic terms to second order in a generic interaction $U(q)$ and show that only U(0) and $U(2p_F)$ matter.

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A. V. Chubukov, D. L. Maslov. 2003-04-22. Universal corrections to the Fermi-liquid theory. https://doi.org/10.1103/physrevb.69.121102

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