Universal corrections to the Fermi-liquid theory

Details Universal corrections to the Fermi-liquid theory Universal corrections to the Fermi-liquid theory

2003-04-16

arxiv.org/abs/cond-mat/0304381v2

Physics

Condensed Matter

Strongly Correlated Electrons

references added, a typo corrected

Scientific paper

10.1103/PhysRevB.69.121102

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 $\chi_s (Q=0,T)$, and $|Q|$ term in $\chi_s (Q,T=0)$. 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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