Fluctuation-Driven First-Order Transition in Pauli-limited d-wave Superconductors

Abstract

We study the phase transition between the normal and non-uniform (Fulde-Ferrell-Larkin-Ovchinnikov) superconducting state in quasi two-dimensional d-wave superconductors at finite temperature. We obtain an appropriate Ginzburg-Landau theory for this transition, in which the fluctuation spectrum of the order parameter has a set of minima at non-zero momenta. The momentum shell renormalization group procedure combined with dimensional expansion is then applied to analyze the phase structure of the theory. We find that all fixed points have more than one relevant directions, indicating the transition is of the fluctuation-driven first order type for this universality class.

5 pages

References in corpus (12)

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Cited by in corpus (8)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Hysteretic superconducting resistive transition in Ba0.07K0.93Fe2As2
• Anomalous fluctuation regimes at the FFLO transition
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Quantum fluctuations in Larkin-Ovchinnikov-Fulde-Ferrell superconductors
• Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction
• Comment on "Fluctuation-Driven First-Order Transition in Pauli-Limited $d$-Wave Superconductors"
• Oscillations of magnetization and conductivity in anisotropic Fulde-Ferrell-Larkin-Ovchinnikov superconductors