Dimensional Crossover of the Fulde-Ferrell-Larkin-Ovchinnikov State in Strongly Pauli-Limited Quasi-One-Dimensional Superconductors

Abstract

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is examined in quasi-one-dimensional s-wave and d-wave superconductors with particular attention paid to the effect of the Fermi-surface anisotropy. The upper critical field $H_{c2}(T)$ is found to exhibit a qualitatively different behavior depending on the ratio of the hopping energies $t_b/t_a$ and the direction of the FFLO modulation vector q, where $t_a$ and $t_b$ are the intra- and interchain hopping energies, respectively. In particular, when $t_b/t_a<0.1$ and $\mathbf{q}\parallel \mathbf{a}$, we find a novel dimensional crossover of $H_{c2}(T)$ from one dimension to two dimensions, where a is the lattice vector of the most conductive chain. Just below the tricritical temperature $T^{\ast }$, the upper critical field $H_{c2}(T)$ increases steeply as in one-dimensional systems, but when the temperature decreases, the rate of increase in $H_{c2}(T)$ diminishes and a shoulder appears. Near $T=0$, $H_{c2}(T)$ shows a behavior typical of the FFLO state in two-dimensional systems, i.e., an upturn with a finite field at $T=0$. When the angle between $\mathbf{q}$ and $\mathbf{a}$ is large, the upper critical field curve is convex upward at low temperatures, as in three-dimensional systems, but the magnitude is much larger than that of a three-dimensional isotropic system. For $t_b/t_a>0.15$, the upper critical fields exhibit a two-dimensional behavior, except for a slight shoulder in the range of $0.2>t_b/t_a>0.15$. The upper critical field is maximum for $\mathbf{q}\parallel \mathbf{a}$ both for s-wave and d-wave pairings, while it is only slightly larger than the Pauli paramagnetic limit for $\mathbf{q}\perp \mathbf{a}$. The relevance of the present results to the organic superconductor $(\mathrm{TMTSF}{)}_2\mathrm{Cl}{\mathrm{O}}_4$ is discussed.

7 pages, 6 figures, jpsj3.cls

References in corpus (7)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ$-(BEDT-TTF)$_2$Cu(NCS)$_2$
• Anomalous In-Plane Anisotropy of the Onset of Superconductivity in (TMTSF)2ClO4
• Magnetic-Field Variations of the Pair-Breaking Effects of Superconductivity in (TMTSF)2ClO4
• In-plane magnetic field anisotropy of the FFLO state in layered superconductors
• Hidden Reentrant and Larkin-Ovchinnikov-Fulde-Ferrell Superconducting Phases in a Magnetic Field in (TMTSF)${}_2$ClO${}_4$
• On the Origin of the Anomalous Upper Critical Field in Quasi-One-Dimensional Superconductors

Cited by in corpus (6)

• Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
• Quasi one-dimensional organic conductors: from Fröhlich conductivity and Peierls insulating state to magnetically-mediated superconductivity, a retrospective
• Fermi surface effect on spontaneous breaking of time-reversal symmetry in unconventional superconducting films
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Fulde-Ferrell-Larkin-Ovchinnikov State in Perpendicular Magnetic Fields in Strongly Pauli-Limited Quasi-Two-Dimensional Superconductors
• Stabilization of the Fulde-Ferrell-Larkin-Ovchinnikov State by Tuning In-plane Magnetic-Field Direction: Application to a Quasi-One-Dimensional Organic Superconductor