Ferromagnetism in one-dimensional metals: breakdown of the Hartree-Fock approximation and possible first order phase transition
arXiv:cond-mat/0507608 · doi:10.1103/PhysRevB.72.184404
Abstract
We calculate the Gibbs potential Gamma (M) of a one-dimensional metal at constant magnetization M to second order in the screened electron-electron interaction U. At zero temperature we find that Gamma (M) contains non-analytic corrections proportional to M^2 \ln | M| and | M |^3, implying that a possible paramagnetic-ferromagnetic quantum phase transition in one-dimensional metals must be first order.
arXiv comment8 pages, 7 figures; we have changed our choice of the ultraviolet cutoff, as suggested by a referee. Phase transition occurs now for Stoner factor smaller than unity. Fig 5 and Fig.7 are have been redrawn
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