Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-08-27
in "Advances in Quantum Many-Body Theory, Vol. 6, Raymond F. Bishop et al. (eds.), World Scientific (Singapore 2002)
Physics
Condensed Matter
Statistical Mechanics
10 pp., LaTeX, 5 ps figs., requires World Scientific style files (included), Invited contribution to MB11
Scientific paper
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.
Belitz Dietrich
Kirkpatrick Theodore R.
Narayanan Rajamani
Vojta Thomas
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