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Nonanalytic Magnetic Response of Fermi- and non-Fermi Liquids

Dmitrii L. Maslov·Andrey V. Chubukov·Ronojoy Saha
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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.

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Dmitrii L. Maslov, Andrey V. Chubukov, Ronojoy Saha. 2006-09-11. Nonanalytic Magnetic Response of Fermi- and non-Fermi Liquids. https://doi.org/10.1103/physrevb.74.220402

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