Phase transition to the Fulde–Ferrell–Larkin–Ovchinnikov state in a quasi-one-dimensional organic superconductor with anion order

Miyawaki, Nobumi; Seki, Hiroshi

doi:10.1088/1742-6596/702/1/012002

Cited by 4 publications

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References 15 publications

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“…Therefore, for most practical purposes, we can regard the Fermi surfaces as touching when q is optimized.Figure5also shows that the points at which the Fermi surfaces touch are far away from k y = π/2, near which the anion order affects the electron dispersion. Hence, the anion order would not significantly change the present result 29).…”

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confidence: 53%

“…Hence, the anion order would not significantly change the present result. 29) Discussion -The discrepancy between the theoretical and experimental results is due to the simplifications in the present theory and lack of accurate information on the model parameters. For example, although the optimum direction of H depends on the magnitude of the magnetic field in the experimental observations, that is not so in the present theory.…”

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confidence: 83%

“…Previous theories -The FFLO state has been theoretically examined in (TMTSF) 2 ClO 4 by many authors. [22][23][24][25][26][27][28][29][30] For example, Lebed and Wu compared their theoretical curve of H c2 (T ) with the experimental data, 7) and obtained a good overall qualitative and quantitative agreement. 25) Croitoru, Houzet, and Buzdin studied the interplay between the orbital effect and the FFLO modulation, and obtained results suggesting that the modulated phase stabilization was the origin of the magnetic-field angle dependence of T onset c (φ).…”

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confidence: 99%

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Stabilization of the Fulde–Ferrell–Larkin–Ovchinnikov State by Tuning In-plane Magnetic-Field Direction: Application to a Quasi-One-Dimensional Organic Superconductor

Itahashi

Seki

2018

J. Phys. Soc. Jpn.

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The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in quasi-one-dimensional systems with warped Fermi surfaces is examined in strong parallel magnetic fields. It is shown that the state is extremely stable for field directions around nontrivial optimum directions, at which the upper critical field exhibits cusps, and that the stabilization is due to a Fermi-surface effect analogous to the nesting effect for the spin density wave and charge density wave. Interestingly, the behavior with cusps is analogous to that in a square lattice system in which the hole density is controlled. For the organic superconductor (TMTSF) 2 ClO 4 , when the hopping parameters obtained by previous authors based on X-ray crystallography results are assumed, the optimum directions are in quadrants consistent with the previous experimental observations. Furthermore, near this set of parameters, we also find sets of hopping parameters that more precisely reproduce the observed optimum in-plane field directions. These results are consistent with the hypothesis that the FFLO state is realized in the organic superconductor.

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confidence: 83%

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confidence: 99%

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Stabilization of the Fulde–Ferrell–Larkin–Ovchinnikov State by Tuning In-plane Magnetic-Field Direction: Application to a Quasi-One-Dimensional Organic Superconductor

Itahashi

Seki

2018

J. Phys. Soc. Jpn.

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“…2. We consider this model because it includes an approximate model of (TMTSF) 2 ClO 4 , 26,36,37) where the anion order 38,39) is ignored. When the molecules are dimerized, the sites A and B are inequivalent, and each pair of adjacent sites A and B constitutes a lattice site.…”

Section: Model and Typical Theoretical Resultsmentioning

confidence: 99%

Fulde–Ferrell–Larkin–Ovchinnikov State in Quasi-One-Dimensional Systems: Correlation between Fermi-Surface Distortion and Optimal In-Plane Magnetic-Field Direction

Itahashi

Seki

2020

J. Phys. Soc. Jpn.

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The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is systematically examined in a generic model of quasi-onedimensional (Q1D) type-II superconductors that has six hopping integrals of electrons as model parameters. For a magnetic field parallel to the conductive layers, the upper critical field H c2 is strongly enhanced by the FFLO state at low temperatures and sensitively depends on the angle ϕ between the in-plane magnetic field and the highly conductive chain (the crystal a-axis). As a result, H c2 exhibits sharp peaks at the optimal angles ϕ = ±ϕ 0 . Since the optimal angle ϕ 0 strongly depends on the structure of the Fermi surface, we examine their correlation, searching for an intuitive method to find ϕ 0 from the shape of the Fermi surface. For this purpose, we define quantities that quantify the warp of each sheet (k x > 0 or k x < 0) of the Q1D open Fermi surface and the shear distortion between the two sheets. We estimate the optimal angles for numbers of the parameter sets chosen systematically from a large area of the parameter space. It is found that in most cases, the optimal direction of the in-plane magnetic field tends to be roughly parallel to the a-axis. This result, together with the fact that the orbital pair-breaking effect is weakest for ϕ = 0, implies that the FFLO state is most stabilized for a small ϕ. However, when the warp is small while the shear distortion is moderate, the FFLO state can be maximally stabilized for any in-plane magnetic-field direction except for the directions between the b-and b ′ -axes, where the b ′ -axis is perpendicular to the a-axis. The phase diagrams of the optimal angle and the upper critical field at zero temperature are also presented. A jump of the optimal angle ϕ 0 when the pressure varies is predicted.

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“…Previous studies based on a model for (TMTSF) 2 ClO 4 that involves four FSs suggested several pairing states [25,26,37,47,48,50,51], such as a nodeless d-wave, nodal d-wave, and nodal g-wave states. Note that the "symmetry" of the d(p)-wave and s(f )-wave gaps are the same in the system on which we focus herein; however, we call these states d(p)-wave and s(f )-wave gaps in the broad sense, meaning that the sign of the gap changes along the FS.…”

Section: Introductionmentioning

confidence: 99%

Microscopic theory of the superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)2ClO4 : Model derivation and two-particle self-consistent analysis

Aizawa

Kuroki

2018

Phys. Rev. B

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We present a first-principles band calculation for the quasi-one-dimensional (Q1D) organic superconductor (TMTSF)2ClO4. An effective tight-binding model with the TMTSF molecule to be regarded as the site is derived from a calculation based on maximally localized Wannier orbitals. We apply a two-particle self-consistent (TPSC) analysis by using a four-site Hubbard model, which is composed of the tight-binding model and an on-site (intramolecular) repulsive interaction, which serves as a variable parameter. We assume that the pairing mechanism is mediated by the spin fluctuation, and the sign of the superconducting gap changes between the inner and outer Fermi surfaces, which correspond to a d-wave gap function in a simplified Q1D model. With the parameters we adopt, the critical temperature for superconductivity estimated by the TPSC approach is approximately 1K which is consistent with experiment.

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Phase transition to the Fulde–Ferrell–Larkin–Ovchinnikov state in a quasi-one-dimensional organic superconductor with anion order

Cited by 4 publications

References 15 publications

Stabilization of the Fulde–Ferrell–Larkin–Ovchinnikov State by Tuning In-plane Magnetic-Field Direction: Application to a Quasi-One-Dimensional Organic Superconductor

Stabilization of the Fulde–Ferrell–Larkin–Ovchinnikov State by Tuning In-plane Magnetic-Field Direction: Application to a Quasi-One-Dimensional Organic Superconductor

Fulde–Ferrell–Larkin–Ovchinnikov State in Quasi-One-Dimensional Systems: Correlation between Fermi-Surface Distortion and Optimal In-Plane Magnetic-Field Direction

Microscopic theory of the superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)2ClO4 : Model derivation and two-particle self-consistent analysis

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