Superconductivity and antiferromagnetism in quasi-one-dimensional organic conductors (Review Article)

Dupuis, N.; Bourbonnais, C.; Nickel, J. C.

doi:10.1063/1.2199440

Cited by 11 publications

(20 citation statements)

References 133 publications

(175 reference statements)

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“…The critical fluctuations near the DWmetal phase transition also strongly influence the SC state via the renormalization of the e-e interaction. [1,24,25] However, the proposed rough model gives a reasonable quantitative agreement with experiment on the slope of H z c2 (T ) at T → T SC c . One more unusual feature observed in these compounds is the hysteresis in the pressure dependence of the SC transition temperature T SC c (P ).…”

Section: Discussion and Summarymentioning

confidence: 72%

Superconductivity on the density-wave background with soliton-wall structure

Grigoriev¹

2009

Physica B: Condensed Matter

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Superconductivity (SC) may microscopically coexist with density wave (DW) when the nesting of the Fermi surface (FS) is not perfect. There are, at least, two possible microscopic structures of a DW state with quasi-particle states remaining on the Fermi level and leading to the Cooper instability: (i) the soliton-wall phase and (ii) the small ungapped Fermi-surface pockets. The dispersion of such quasi-particle states strongly differs from that without DW, and so do the properties of SC on the DW background. The upper critical field H c2 in such a SC state strongly increases as the system approaches the critical pressure, where superconductivity first appears. H c2 may considerably exceed its typical value without DW and has unusual upward curvature as function of temperature. The results obtained explain the experimental observations in layered organic superconductors (TMTSF) 2 PF 6 and α-(BEDT-TTF) 2 KHg(SCN) 4 .

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Section: Discussion and Summarymentioning

confidence: 72%

Superconductivity on the density-wave background with soliton-wall structure

Grigoriev¹

2009

Physica B: Condensed Matter

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“…The respective Peierls and Cooper bubbles have the transverse-momentum ͑i.e., patch-index͒ dependence of the external variables, as discussed in the literature. [21][22][23][24] This effect is crucial to induce the transversemomentum dependence of the coupling constants. There remain ambiguities in the selection of the longitudinal momenta for the external variable, since, in general, all the momenta of vertex cannot be set on the Fermi surface if the Fermi surface is warped.…”

Section: A Peierls and Cooper Bubbles In The One-loop Levelmentioning

confidence: 99%

“…In the conventional approach, this term has been neglected, [21][22][23][24] however, is crucial to reproduce the known RG equations in the two-leg ladder system ͑Sec. IV͒.…”

Section: A Peierls and Cooper Bubbles In The One-loop Levelmentioning

confidence: 99%

“…In the Q1D case, the RG has been formulated by considering a finite number of chains N Ќ ͑N Ќ -chain RG scheme͒ [20][21][22][23][24][25][26] where the transverse momentum is regarded as a patch index. Based on this scheme, the Q1D systems have been analyzed intensively within the one-loop level [20][21][22][23][24][25] and the self-energy corrections have also been investigated. 26 At commensurate band filling, the dimensional crossover problem becomes nontrivial since the electronic correlation has the strongest effect and leads to the Mott insulating state if the system is half filled.…”

Section: Introductionmentioning

confidence: 99%

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Two-loop renormalization group theory for the quasi-one-dimensional Hubbard model at half filling

Tsuchiizu

2006

Phys. Rev. B

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We derive two-loop renormalization group equations for the half filled one-dimensional Hubbard chains coupled by the interchain hopping. Our renormalization group scheme for the quasi-one-dimensional electron system is a natural extension of that for the purely one-dimensional systems in the sense that transversemomentum dependences are introduced in the g-ological coupling constants and we regard the transverse momentum as a patch index. We develop symmetry arguments for the particle-hole symmetric half filled Hubbard model and obtain constraints on the g-ological coupling constants by which resultant renormalization equations are given in a compact form. By solving the renormalization group equations numerically, we estimate the magnitude of excitation gaps and clarify that the charge gap is suppressed due to the interchain hopping but is always finite even for the relevant interchain hopping. To show the validity of the present analysis, we also apply this to the two-leg ladder system. By utilizing the field-theoretical Bosonization and Fermionization method, we derive low-energy effective theory and analyze the magnitude of all the excitation gaps in detail. It is shown that the low-energy excitations in the two-leg Hubbard ladder have SO͑3͒ ϫ SO͑3͒ ϫ U͑1͒ symmetry when the interchain hopping exceeds the magnitude of the charge gap.

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] Yet, there is substantial disagreement about the details of such mechanism. Moreover, different theories predict different orderparameter symmetries: p, d x 2 −y 2, f, or d xy wave.…”

Section: Introductionmentioning

confidence: 99%

Competition between different order parameters in a quasi-one-dimensional superconductor

Rozhkov

2009

Phys. Rev. B

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We show that, under rather general assumptions, the phase diagram of a quasi-one-dimensional repulsive Fermi system consists of two ordered phases: the density wave, spin or charge, and the superconductivity. It is demonstrated that the symmetry of the superconducting order parameter is a nonuniversal property sensitive to microscopic details of the model. Three potentially stable superconducting states are identified: they are triplet f-wave, singlet d x 2 −y 2-wave, and d xy -wave. The presence of multiple competing superconducting states implies that for a real material this symmetry is difficult to predict theoretically and hard to probe experimentally since artifacts of theoretical approximations or variations in experimental conditions could tip the balance between the superconducting phases.

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Superconductivity and antiferromagnetism in quasi-one-dimensional organic conductors (Review Article)

Cited by 11 publications

References 133 publications

Superconductivity on the density-wave background with soliton-wall structure

Superconductivity on the density-wave background with soliton-wall structure

Two-loop renormalization group theory for the quasi-one-dimensional Hubbard model at half filling

Competition between different order parameters in a quasi-one-dimensional superconductor

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