Lattice Ginzburg-Landau Model of a Ferromagnetic p-wave Pairing Phase in Superconducting Materials and an Inhomogeneous Coexisting State

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 temperatrures satisfy $T_{\mathrm{FM}}>T_{\mathrm{SC}}$. For $T_{\mathrm{FM}}/T_{\mathrm{SC}}<0.7$, 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.

References in corpus (7)

• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Unusual upper critical field of the ferromagnetic superconductor UCoGe
• Microscopic Coexistence of Ferromagnetism and Superconductivity in Single-Crystal UCoGe
• Vortex sub-lattice melting in a two-component superconductor
• On the theory of superconductivity in ferromagnetic superconductors with triplet pairing
• Absence of Meissner State and Robust Ferromagnetism in the Superconducting State of UCoGe: Possible Evidence of Spontaneous Vortex State
• Evidence for ferromagnetic spin-pairing superconductivity in UGe${}_2$: A ${}^{73}$Ge-NQR study under pressure

Cited by in corpus (4)

• Lattice Gauge Theory for Condensed Matter Physics: Ferromagnetic Superconductivity as its Example
• First order superconducting phase transition in chiral $p+ip$ system
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Phenomenological description of anisotropy effects in some ferromagnetic superconductors