Nonanalytic behavior of the spin susceptibility in clean Fermi systems

Abstract

The wavevector and temperature dependent static spin susceptibility, χ_s(Q,T), of clean interacting Fermi systems is considered in dimensions 1\leq d \leq 3. We show that at zero temperature χ_s is a nonanalytic function of |Q|, with the leading nonanalyticity being |Q|^{d-1} for 1<d<3, and Q^2\ln|Q| for d=3. For the homogeneous spin susceptibility we find a nonanalytic temperature dependence T^{d-1} for 1<d<3. We give qualitative mode-mode coupling arguments to that effect, and corroborate these arguments by a perturbative calculation to second order in the electron-electron interaction amplitude. The implications of this, in particular for itinerant ferromagnetism, are discussed. We also point out the relation between our findings and established perturbative results for 1-d systems, as well as for the temperature dependence of χ_s(Q=0) in d=3.

12pp., REVTeX, 5 eps figures, final version as published

References in corpus (8)

• Renormalization Group Approach to Interacting Fermions
• Quantum critical behavior of disordered itinerant ferromagnets
• Theory of Fermion Liquids
• Fermi liquids and non--Fermi liquids
• Non-Analytic Contributions to the Self-Energy and the Thermodynamics of Two-Dimensional Fermi Liquids
• Breakdown of Landau-Ginzburg-Wilson theory for certain quantum phase transitions
• Quantum critical behavior of itinerant ferromagnets
• Quantum ferromagnetic transition in disordered itinerant electron systems

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