Superconductivity near Itinerant Ferromagnetic Quantum Criticality

Details Superconductivity near Itinerant Ferromagnetic Quantum Criticality Superconductivity near Itinerant Ferromagnetic Quantum Criticality

2001-04-05

arxiv.org/abs/cond-mat/0104097v2

Phys. Rev. Lett. 87, 257001 (2001)

Physics

Condensed Matter

Superconductivity

4 pages, 1 figure, revised version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.87.257001

Superconductivity mediated by spin fluctuations in weak and nearly ferromagnetic metals is studied close to the zero-temperature magnetic transition. We solve analytically the Eliashberg equations for p-wave pairing and obtain the normal state quasiparticle self-energy and the superconducting transition temperature $T_c$ as a function of the distance to the quantum critical point. We show that the reduction of quasiparticle coherence and life-time due to scattering by quasistatic spin fluctuations is the dominant pair-breaking process, which leads to a rapid suppression of $T_c$ to a nonzero value near the quantum critical point. We point out the differences and the similarities of the problem to that of the theory of superconductivity in the presence of paramagnetic impurities.

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