Perturbed bifurcations in the BCS gap equation

Spathis, Panayotis; Soerensen, M. P.; Lazarides, N.

doi:10.1103/physrevb.45.7360

Cited by 28 publications

(28 citation statements)

References 28 publications

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“…17 We only restrict that the in-plane V kk Ј is written consistent with the orthorhombic symmetry with on-site interactions suppressed. Considering the screening effect, we adopt a simple nearest neighbor interaction 18,19 …”

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confidence: 99%

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Anisotropy of the superconducting transition temperature under uniaxial pressure

et al. 2001

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The superconducting transition temperature T c is calculated as a function of uniaxial pressure along the a, b, c directions for optimally doped YBa 2 Cu 3 O 7Ϫ␦ on the basis of a hole dispersion of the anisotropic t-J model. There is a good qualitative agreement with experiments. We show that the uniaxial pressure effect on T c in the ab plane is due to the anisotropies of the hole dispersion and the in-plane pairing interaction, whereas the reduction of T c under uniaxial compression along the c axis mainly results from the pressure-induced increase of hole concentration of the CuO 2 plane.

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confidence: 99%

“…In the case of d-wave symmetry pairing, ⌬ 2 ϭϪ⌬ 1 . 19 The T c equation is then derived for the single bilayer system…”

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Anisotropy of the superconducting transition temperature under uniaxial pressure

et al. 2001

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“…The ratio increases steeply for larger x, reaching a value of 7 when x is 0.67. Hence, the doping dependence of the critical temperature resembles the universal curve T c (x) of the cuprates [23,29,30]. Moreover, all physical magnitudes are expressed in real units, so that one may compare with experiments easily.…”

Section: Discussion Of Zero Current Propertiesmentioning

confidence: 99%

Superflow in d-wave superconductors

Ferrer

González-Alvarez

Cañizares

1999

Superlattices and Microstructures

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Superflow in a phenomenological tight-binding model for the superconducting state of some High-temperature superconductors is discussed thoroughly. The formalism used is explicitly gauge-invariant and currents are computed exactly within BCS theory, going therefore beyond linear response theory. The dependence of gap functions, current density, critical currents, and free energy as a function of superfluid velocity for different angles and doping concentrations is investigated. Different sources of anisotropy, like the dispersion relation of the model, the internal symmetry of the order parameter, and orthorhombic distortions of the lattice are also studied.Comment: 10 pages, 8 eps figures include

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“…63 The sharp anisotropic features of |∆ k | are robust against non-linearity, whose relevance increases as T decreases, as shown by Eqs. (13) and (14). Correspondingly, the normal state spectrum at T = T c gets gapped where |∆ k | is maximum far more significantly than elsewhere.…”

Section: B Gap Anisotropy At the Critical Pointmentioning

confidence: 93%

“…The unconventional temperature dependence of the parameters ∆ η below T c directly stems from their definition, Eq. (14). A different choice of parameters {∆ η } would in general lead to a different temperature dependence, except their critical behavior at T c .…”

Section: Gap Function Anisotropy and Symmetrymentioning

confidence: 99%

K-Space Gap Anisotropy within the Interlayer Pair-Tunneling Mechanism of High-T C Superconductivity

Angilella¹,

Pucci²,

Siringo³

et al. 1999

Symmetry and Pairing in Superconductors

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We study the k-dependence of the gap function of a bilayer superconductor, using standard meanfield techniques applied to a two-dimensional (2D) extended Hubbard model, in the presence of coherent interlayer pair-tunneling and quenched coherent single-particle tunneling. The intralayer pairing potential thus defined is expandable in a finite number (5) of basis functions for the irreducible representations of the point-group of the perfectly square lattice, C4v. This gives rise to a competition between s-and d-wave symmetry, as the chemical potential is increased from the bottom to the top of a realistic band for most cuprates. It allows for mixed-symmetry paired state at temperatures below Tc, but never at Tc on a square lattice. Inclusion of the interlayer pairtunneling into the effective pairing potential leads to highly non-trivial k-space structures, such as pronounced maxima along the Fermi line not seen in the absence of interlayer pair-tunneling. We show how such a gap structure evolves with temperature and with band filling, and how it affects various observables. In particular, a nonuniversal value of the normalized jump in the specific heat at Tc will be evidenced, at variance with the conventional universal BCS result. PACS numbers: 74.20.-z 74.80.Dm 74.72.Hs 74.25.Bt

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Perturbed bifurcations in the BCS gap equation

Cited by 28 publications

References 28 publications

Anisotropy of the superconducting transition temperature under uniaxial pressure

Anisotropy of the superconducting transition temperature under uniaxial pressure

Superflow in d-wave superconductors

K-Space Gap Anisotropy within the Interlayer Pair-Tunneling Mechanism of High-T C Superconductivity

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