English

Superconductivity and Quantum Phase Transitions in Weak Itinerant Ferromagnets

Statistical Mechanics 2017-08-23 v1 Strongly Correlated Electrons

Abstract

It is argued that the phase transition in low-T_c clean itinerant ferromagnets is generically of first order, due to correlation effects that lead to a nonanalytic term in the free energy. A tricritical point separates the line of first order transitions from Heisenberg critical behavior at higher temperatures. Sufficiently strong quenched disorder suppresses the first order transition via the appearance of a critical endpoint. A semi-quantitative discussion is given in terms of recent experiments on MnSi and UGe_2. It is then shown that the critical temperature for spin-triplet, p-wave superconductivity mediated by spin fluctuations is generically much higher in a Heisenberg ferromagnetic phase than in a paramagnetic one, due to the coupling of magnons to the longitudinal magnetic susceptibility. This qualitatively explains the phase diagram recently observed in UGe_2 and ZrZn_2.

Keywords

Cite

@article{arxiv.cond-mat/0108443,
  title  = {Superconductivity and Quantum Phase Transitions in Weak Itinerant Ferromagnets},
  author = {T. R. Kirkpatrick and Thomas Vojta and D. Belitz and R. Narayanan},
  journal= {arXiv preprint arXiv:cond-mat/0108443},
  year   = {2017}
}

Comments

10 pp., LaTeX, 5 ps figs., requires World Scientific style files (included), Invited contribution to MB11

R2 v1 2026-07-22T10:26:40.569Z