BCS-Bose model of exotic superconductors: Generalized coherence length

Casas, M.; Getino, Juan; Llano, M. de; Puente, A.; Quick, R. M.; Rubio, H.; Walt, D.M. van der

doi:10.1103/physrevb.50.15945

Cited by 26 publications

(34 citation statements)

References 36 publications

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“…Previously, there have been studies of this problem in two dimensions in terms of two-body binding in vacuum and Cooper pair binding employing short-and zero-range potentials [4,5,14]. Such studies have not fully revealed the universal nature of the solution.…”

Section: Introductionmentioning

confidence: 99%

Universal scaling in Bardeen-Cooper-Schrieffer superconductivity in two dimensions in non-s waves

Adhikari¹,

Ghosh²

1998

J. Phys.: Condens. Matter

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The solutions of a renormalized BCS model are studied in two space dimensions in s, p and d waves for finite-range separable potentials. The gap parameter, the critical temperature T c , the coherence length ξ and the jump in specific heat at T c as a function of zero-temperature condensation energy exhibit universal scalings. In the weak-coupling limit, the present model yields a small ξ and large T c appropriate to those for high-T c cuprates. The specific heat, penetration depth and thermal conductivity as a function of temperature show universal scaling in p and d waves.

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Section: Introductionmentioning

confidence: 99%

Universal scaling in Bardeen-Cooper-Schrieffer superconductivity in two dimensions in non-s waves

Adhikari¹,

Ghosh²

1998

J. Phys.: Condens. Matter

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“…Optimal doping corresponds tõ ǫ ∼ 3 · 10 2 − 10 3 [30] and we show this range of densities in Fig. 1.…”

Section: The Phase Diagram Of the Systemmentioning

confidence: 99%

“…It was suggested in [30] that optimally doped HTSCs haveǫ ∼ 3 · 10 2 − 10 3 while conventional metallic superconductors have at leastǫ ∼ 10 3 − 10 4 . The proposed Hamiltonian proves very convenient for the study of fluctuation stabilization by weak 3D oneparticle inter-plane tunneling.…”

Section: Model and Formalismmentioning

confidence: 99%

Superconducting condensate formation in quasi-2D systems with arbitrary carrier density

Локтев

Quick

Sharapov

1999

Physica C: Superconductivity

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A phase diagram for a quasi-2D metal with variable carrier density has been derived. The phases present are the normal phase, where the order parameter is zero; the pseudogap phase where the absolute value of the order parameter is non-zero but its phase is random, and a superconducting phase with a crossover quasi-2D Berezinskii-KosterlitzThouless (BKT) region. The crossover region is bounded by the quasi-2D BKT temperature and the temperature for the onset of conventional long-range order (CLRO). The practical observation of these regions however critically depends on the carrier density. At high densities both the pseudogap and BKT regions vanish asymptotically i.e. one obtains the standard BCS picture. At intermediate densities the pseudogap phase is large but the BKT region negligible. Finally at very low densities both the pseudogap and BKT regions are sizeable. An attempt is made to explain the behaviour observed in underdoped (intermediate densities) and optimally doped high-Tc superconducting compounds above their critical temperature. The transition to the pseudogap phase should also be regarded as a crossover. 74.20.Fg, 74.20.Mn, 64.60.Cn

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“…[14,15] Earlier studies mainly focused on the evolution of the coherence length of a pair of fermions at zero temperature. [11,[16][17][18][19] The combined effects of density and interparticle potential show that crossover is robust for all densities in case of s-wave pairing and only for low densities in case of d-wave pairing. [23] Further, in 2D d-wave systems, the existence of a finite range of potential and the next-nearest-neighbor hopping drastically influence the crossover diagram.…”

Section: Introductionmentioning

confidence: 99%

Electron pairing and evidence of a BCS–BEC crossover in d-wave superconductors

Das¹,

Khan²,

Basu³

2013

Physica B: Condensed Matter

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We have demonstrated that it is possible to access a crossover scenario starting with a weak coupling (BCS) d-wave superconductor to a strongly coupled Bose-Einstein condensate (BEC) phase as the exchange interaction is tuned in a two dimensional system described by a t-J-U model via numerically solving the Bogoliubov-de Gennes (BdG) equations. While in the extreme dilute limit, the electronic pairing phenomena is independent of the Coulomb repulsion, U , the superconductivity depends on U , and so does the crossover. Further, the effect of variation in the carrier density on the BCS-BEC crossover has also been investigated. The crossover picture is illustrated by computing the chemical potential, which when falls below the noninteracting band minimum, signals the onset of a phase with tightly bound, shorter pairs. As an evidence of the above feature, the Cooper pair radius is calculated which shows a significant shortening at the emergence of a BEC-like phase. Besides, in contrast to the previous work where a crossover was claimed only in the dilute limit, we have demonstrated it at large densities near half filling.

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BCS-Bose model of exotic superconductors: Generalized coherence length

Cited by 26 publications

References 36 publications

Universal scaling in Bardeen-Cooper-Schrieffer superconductivity in two dimensions in non-s waves

Universal scaling in Bardeen-Cooper-Schrieffer superconductivity in two dimensions in non-s waves

Superconducting condensate formation in quasi-2D systems with arbitrary carrier density

Electron pairing and evidence of a BCS–BEC crossover in d-wave superconductors

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