Ferromagnetism in one-dimensional metals: breakdown of the Hartree-Fock approximation and possible first order phase transition
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 M2 | M| and | M |3, implying that a possible paramagnetic-ferromagnetic quantum phase transition in one-dimensional metals must be first order.
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