Strong Parity Mixing in the Fulde-Ferrell-Larkin-Ovchinnikov Superconductivity in Systems with Coexisting Spin and Charge Fluctuations

Aizawa, Hirohito; Kuroki, Kazuhiko; Yokoyama, Takehito; Tanaka, Yukio

doi:10.1103/physrevlett.102.016403

Cited by 30 publications

(32 citation statements)

References 38 publications

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“…Both possibilities have been asserted theoretically. 23,[69][70][71][72][73][74][75][76][77][78][79][80] Many authors [69][70][71][72][73][74][75][76][77][78][79][80] have not taken account of t 3 , t 4 , and V in the theoretical study while a few authors have studied with V and t 3 in Refs. 75 and 80, respectively.…”

Section: Discussionmentioning

confidence: 99%

Negative quantum Hall effect in field-induced spin-density-wave states: Dependence on shape of the quasi-one-dimensional Fermi surface

Kishigi

Hasegawa

2009

Phys. Rev. B

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The successive transitions of the field-induced spin-density wave, which is labeled by the quantum number N of the Hall conductivity and the nesting vector, are known to depend on the shape of the quasi-onedimensional Fermi surface. We study the condition for the appearance of the negative N states, where the quantized Hall conductivity changes the sign. We obtain the phase diagram for the negative N states in the parameter space of the higher harmonics in the Fermi surface ͑t b Ј, t 3 , and t 4 ͒ to be stabilized with and without the periodic anion potential V in the perpendicular direction to the conducting axis, which are the cases in ͑TMTSF͒ 2 ClO 4 and ͑TMTSF͒ 2 PF 6 , respectively. The negative N phase is shown to be stabilized for the smaller values of t 3 and t 4 in the case of the finite V. Comparing with the experiment by Matsunaga et al. ͓J. Phys. IV 131, 269 ͑2005͔͒, where the quantum Hall effect is observed in ͑TMTSF͒ 2 ClO 4 with various cooling rates, we obtain the parameter regions of t 3 and t 4 for ͑TMTSF͒ 2 ClO 4 ͑0.06Շ t 3 / t b ЈՇ0.23, 0 Շ t 4 / t b ЈՇ0.08, and V / t b ЈՇ2.0͒.

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Section: Discussionmentioning

confidence: 99%

Negative quantum Hall effect in field-induced spin-density-wave states: Dependence on shape of the quasi-one-dimensional Fermi surface

Kishigi

Hasegawa

2009

Phys. Rev. B

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“…[14,15,16,17,19,26,25] where the site representation [26] for singlet and triplet pairing interactions are given respectively aŝ…”

Section: Pairing Interactions and Gap Equationmentioning

confidence: 99%

“…The single band models for (TMTSF) 2 PF 6 has been investigated by perturbation theories. [14,15,16,17,18,19] The magnetic field favors the triplet or FFLO superconductivity, [16,17,18] while the on-site repulsion induces the singlet superconductivity in the absence of magnetic field. [19] The interplay between the spin and charge fluctuations in the triplet superconductivity has been investigated by the renormalization group theories.…”

Section: Introductionmentioning

confidence: 99%

Role of charge fluctuation in Q1D organic superconductor (TMTSF)2ClO4

Mizuno

Kobayashi

Suzumura

2011

Physica C: Superconductivity

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We have theoretically investigated the spin and charge fluctuations in the quasi-one dimensional organic superconductor (TMTSF) 2 ClO 4 . Using the extended multi-site Hubbard model, which contains four sites in a unit cell and the transfer energies obtained by the extended Hückel method, we calculate the linearized gap equation with the random phase approximation, to find novel order parameters of superconductivity due to several kinds of charge fluctuations induced by the anisotropic intersite repulsive interactions. For the singlet state, the order parameter with line nodes appears in the case of the strong charge fluctuation, while the order parameter with anisotropic gap suggested by Shimahara is reproduced in the spin fluctuation. The triplet state is also obtained for the wide parameter range of repulsive interactions due to a cooperation between charge and spin fluctuations.

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“…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 . [20][21][22][23][24][25][26][27] Quasi-low-dimensionality is a common feature of the above-mentioned compounds. It stabilizes the FFLO state for two reasons.…”

Section: Introductionmentioning

confidence: 99%

“…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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Strong Parity Mixing in the Fulde-Ferrell-Larkin-Ovchinnikov Superconductivity in Systems with Coexisting Spin and Charge Fluctuations

Cited by 30 publications

References 38 publications

Negative quantum Hall effect in field-induced spin-density-wave states: Dependence on shape of the quasi-one-dimensional Fermi surface

Negative quantum Hall effect in field-induced spin-density-wave states: Dependence on shape of the quasi-one-dimensional Fermi surface

Role of charge fluctuation in Q1D organic superconductor (TMTSF)2ClO4

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

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