Nonanalytic Magnetic Response of Fermi- and non-Fermi Liquids

Abstract

We study the nonanalytic behavior of the static spin susceptibility of 2D fermions as a function of temperature and magnetic field. For a generic Fermi liquid, χ_s (T, H)= const+c_1 max (T,μ_B|H|), where c_1 is shown to be expressed via complicated combinations of the Landau parameters, rather than via the backscattering amplitude, contrary to the case of the specific heat. Near a ferromagnetic quantum critical point, the field dependence acquires a universal form χ^{-1}_s(H)= const- c_2|H|^{3/2}$,with$c_2>0$. This behavior implies a first-order transition into a ferromagnetic state. We establish a criterion for such a transition to win over the transition into an incommensurate phase.

5 pages, 1 figure

References in corpus (7)

• Singular perturbation theory for interacting fermions in two dimensions
• Nonanalytic corrections to the specific heat of a three-dimensional Fermi liquid
• Thermodynamics of a Fermi liquid in a magnetic field
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Temperature dependent spin susceptibility in a two-dimensional metal
• Branch-cut Singularities in Thermodynamics of Fermi Liquid Systems

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