1996/11/30 by D. Belitz, T. R. Kirkpatrick, Thomas Vojta · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.55.9452
published as Phys. Rev. B vol. 55, pp. 9452-9462 (1997) · 12pp., REVTeX, 5 eps figures, final version as published
openalex publication_date 1997/04/15 · arxiv created 1997/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The wave vector and temperature-dependent static spin susceptibility, \mathrm\ensuremathχs(Q,T), of clean interacting Fermi systems is considered in dimensions 1\ensuremath\leqslantd\ensuremath\leqslant3. We show that at zero temperature \mathrm\ensuremathχs is a nonanalytic function of |Q|, with the leading nonanalyticity being |Q|^d\mathrm\ensuremath-1 for 13, and Q2ln |Q| for d=3. For the homogeneous spin susceptibility we find a nonanalytic temperature dependence T^d\mathrm\ensuremath-1 for 13. 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 one-dimensional systems, as well as for the temperature dependence of \mathrm\ensuremathχs(Q=0) in d=3.