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Lattice Ginzburg-Landau model of a ferromagnetic p-wave pairing phase in superconducting materials and an inhomogeneous coexisting state

Akihiro Shimizu, Hidetoshi Ozawa, Ikuo Ichinose, Tetsuo Matsui

DOI 10.1103/PhysRevB.85.144524 · Physical Review B

T1

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Abstract

We study the interplay of the ferromagnetic (FM) state and the p-wave superconducting (SC) state observed in several materials such as UCoGe and URhGe in a totally nonperturbative manner. To this end, we introduce a lattice Ginzburg-Landau model that is a genuine generalization of the phenomenological Ginzburg-Landau theory proposed previously in the continuum and also a counterpart of the lattice gauge Higgs model for the s-wave SC transition, and study it numerically by Monte Carlo simulations. The obtained phase diagram has qualitatively the same structure as that of UCoGe in the region where the two transition temperatures satisfy TFM>TSC. For TFM/TSC<0.7, we find that the coexisting region of FM and SC orders appears only near the surface of the lattice, which describes an inhomogeneous FMSC coexisting state.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
UCoGe

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—Pressure not reportedunknown
URhGe

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—Pressure not reportedunknown
UGe2

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

—Pressure not reportedunknown

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