Fermi-liquid effects in the Fulde-Ferrell-Larkin-Ovchinnikov state of two-dimensionald-wave superconductors

Abstract

We study the effects of Fermi-liquid interactions on quasi-two-dimensional $d$-wave superconductors in a magnetic field. The phase diagram of the superconducting state, including the periodic Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in high magnetic fields, is discussed for different strengths of quasiparticle many-body interactions within Landau's theory of Fermi liquids. Decreasing the Fermi-liquid parameter ${F}_{0}^{a}$ causes the magnetic spin susceptibility of itinerant electrons to increase, which in turn leads to a reduction of the FFLO phase. It is shown that a negative ${F}_{0}^{a}$ results in a first-order phase transition from the normal to the uniform superconducting state in a finite temperature interval. Finally, we discuss the thermodynamic implications of a first-order phase transition for $\mathrm{Ce}\mathrm{Co}{\mathrm{In}}_{5}$.