Theory of the Fulde–Ferrell–Larkin–Ovchinnikov State and Application to Quasi-Low-dimensional Organic Superconductors

Seki, Hiroshi

doi:10.1007/978-3-540-76672-8_25

Cited by 12 publications

(11 citation statements)

References 69 publications

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“…In the past two decades, FFLO phases attract tremendous interests in both experiment and theory [4][5][6][7][8][9]. But only ambiguous experiment evidences from heavy-fermion superconductors and organic superconductors are available [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Topological Fulde-Ferrell superfluids in triangular lattices

Guo

2017

Phys. Rev. A

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Fulde-Ferrell (FF) Larkin-Ovchinnikov (LO) phases were proposed for superconductors or superfluids in strong magnetic field. With the experimental progresses in ultracold atomic systems, topological FFLO phases has also been put forward, since it is a natural consequence of realizable spin-orbital coupling (SOC). In this work, we theoretically investigate a triangular lattice model with SOC and in-plane field. By constructing the phase diagram, we show that it can produce topological FF states with Chern numbers, C = ±1 and C = −2. We get the phase boundaries by the change of the sign of Pfaffian. The chiral edge states for different topological FF phases are also elucidated.

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Section: Introductionmentioning

confidence: 99%

Topological Fulde-Ferrell superfluids in triangular lattices

Guo

2017

Phys. Rev. A

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“…phase [44,45]. Similar inhomogeneous superconducting states were also studied via bosonization for fermions with attractive interaction in a quasi 1D configuration [45].…”

Section: Pair-correlation Functionsmentioning

confidence: 99%

Fluid structure of 1D spinful Fermi gases with long-range interactions

Colella¹,

Chiofalo²,

Barsanti³

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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We discuss the fluid structure in the quantum phases of a 1D spinful Fermi gas of atoms interacting via an infinitely long-range coupling, as it may result from a photon-mediated two-body coupling in optical cavities. The system reveals a rich physics, where spin/charge-density wave and superfluid-like order compete with each other. Following our previous work based on a combined mean-field, exact diagonalization and bosonization analysis, we provide the phase diagram of the system and discuss the structure of the fluid, addressing the main features in momentum space of the order parameters, momentum distribution and two-body correlations. We enlighten that the nesting of the Fermi surface in 1D ultimately drives the formation of periodic structures commensurate with the cavity-induced mean-field potential.

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“…[3][4][5] Following the theoretical prediction of Fulde and Ferrell 1) and Larkin and Ovchinnikov, 2) there has been no convincing experimental evidence of this FFLO state. However, recently, it has been suggested that it occurs in strongly Pauli-limited clean type-II superconductors, such as the heavy-fermion superconductor CeCoIn 5 4) and the quasi-low-dimensional organic superconductors κ-(BEDT-TTF) 2 Cu(NCS) 2 , [10][11][12][13] λ-(BETS) 2 FeCl 4 , [16][17][18] λ-(BETS) 2 GaCl 4 , 19) and (TMTSF) 2 ClO 4 .…”

Section: Introductionmentioning

confidence: 97%

“…In anisotropic superconductors, the structure of the gap function significantly affects the Fermi-surface effect. 8,9) In the present study, the Fermi-surface effect in quasione-dimensional (Q1D) s-wave and d-wave superconductors is investigated, motivated by studies of the Q1D organic superconductors (TMTSF) 2 X, which may exhibit an FFLO state, [5][6][7][20][21][22][23][24][25][26][27] where TMTSF stands for tetramethyltetraselenafulvalene, and X = ClO 4 , PF 6 , etc. In (TMTSF) 2 PF 6 , Lee et al found an upturn of H c2 (T ) at low temperatures, that exceeds the Pauli paramagnetic limit H P .…”

Section: Introductionmentioning

confidence: 99%

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

Miyawaki

Seki

2014

J. Phys. Soc. Jpn.

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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 q 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 * , 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 q and 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 q a both for s-wave and d-wave pairings, while it is only slightly larger than the Pauli paramagnetic limit for q ⊥ a. The relevance of the present results to the organic superconductor (TMTSF) 2 ClO 4 is discussed.

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Theory of the Fulde–Ferrell–Larkin–Ovchinnikov State and Application to Quasi-Low-dimensional Organic Superconductors

Cited by 12 publications

References 69 publications

Topological Fulde-Ferrell superfluids in triangular lattices

Topological Fulde-Ferrell superfluids in triangular lattices

Fluid structure of 1D spinful Fermi gases with long-range interactions

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

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