Critical temperature of a non-Fermi-liquid superconductor with an energy-dependent density of states

Grosu, I.; Ţifrea, I.; Crişan, M.; Yoksan, S.

doi:10.1103/physrevb.56.8298

Cited by 14 publications

(15 citation statements)

References 13 publications

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“…Using the field-theoretical methods we studied the crossover between BCS and BEC in a non-Fermi liquid. The weak coupling case leads to the same results as in the mean field like models [25][26][27][28] . In the strong coupling limit we showed that the pairs form a Bose gas with a repullsive coupling constant which is controled by α.…”

Section: Resultssupporting

confidence: 66%

Field-theoretical description of the crossover between BCS and BEC in a non-Fermi superconductor

Moca

Crişan

Macocian

et al. 2003

Journal of Physics and Chemistry of Solids

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Using the field-theoretical methods we studied the evolution from BCS description of a non-Fermi superconductor to that of Bose-Einstein condensation (BEC) in one loop approximation. We showed that the repulsive interaction between composite bosons is determined by the exponent α of the Anderson propagator in a two dimensional model. For α = 0 the crossover is also continous and for α = 0 we obtain the case of the Fermi liquid.

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Section: Resultssupporting

confidence: 66%

Field-theoretical description of the crossover between BCS and BEC in a non-Fermi superconductor

Moca

Crişan

Macocian

et al. 2003

Journal of Physics and Chemistry of Solids

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“…The divergence obtained as α approaches the limit value α → 0.5 could be a simple effect related to the divergence of several quantities involved in the calculation. A similar effect was observed also in the critical temperature dependence on the non-Fermi parameter α [9,10,11].…”

supporting

confidence: 71%

“…In this expression we made use of the exponential form of the critical temperature reported by Grosu et al [10] To express the superconducting state properties one can make used of the previous expression obtained for the spin-charge separation liquid with the specification that all the functions f i (η) should be replaced by their correspondent in the anomalous Fermi liquid f i (α) (i = A, B, C, T ).…”

Section: B the Anomalous Fermi Liquidmentioning

confidence: 99%

Ginzburg-Landau expansion in non-Fermi-liquid superconductors: Effect of the mass renormalization factor

2002

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We reconsider the Ginzburg-Landau expansion for the case of a non-Fermi liquid superconductor.We obtain analytical results for the Ginzburg-Landau functional in the critical region around the superconducting phase transition, T ≤ T c , in two special limits of the model, i.e., the spin-charge separation case and the anomalous Fermi liquid case. For both cases, in the presence of a mass renormalization factor, we derived the form and the specific dependence of the coherence length, penetration depth, specific heat jump at the critical point, and the magnetic upper critical field.For both limits the obtained results reduce to the usual BCS results for a two dimensional s-wave superconductor. We compare our results with recent and relevant theoretical work. The results for a d-wave symmetry order parameter do not change qualitatively the results presented in this paper. Only numerical factors appear additionally in our expressions.

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“…Even in this case the results are important because we can get more information about the second coupling constant α, which is related to the unusual form of the Fermi surface. From theoretical derivation of the critical temperature [9] it was shown that α should satisfied the condition 0.3 < α < 0.35 in order to get a reasonable value for T c . Taking some reasonable values of the specific heat jump related to the critical temperature ∆C/T c (see Fig.…”

Section: Discussionmentioning

confidence: 98%

“…As we can see from equations (8,9) an evaluation of the specific heat jump will be possible only if first we will evaluate the order parameter ∆(T ) near T c . Using the same equations we can get the usual BCS result in the limit η → 1 and α → 0, respectively.…”

Section: Thermodynamic Potential Near T C For a Non-fermi Liquidmentioning

confidence: 99%

Specific heat jump in non-Fermi superconductors

Ţifrea

Crişan

1998

Eur. Phys. J. B

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We derive the jump in the specific heat at T = Tc for a superconductor in a non-Fermi liquid model. We took into consideration the two possible limits in this problem: the spin-charge separation model for a Fermi liquid and the usual non-Fermi liquid model which satisfies the homogeneity relation for the spectral function A(Λk, Λω) = Λ −1+α A(k, ω). We also derive the order parameter behavior for these two cases in the vecinity of the critical temperature. PACS. 74.20.Mn Nonconventional mechanisms (spin fluctuations, polarons and bipolarons, resonating valence bond model, anyon mechanism, marginal Fermi liquid, Luttinger liquid, etc.) -74.25.-q General properties; correlations between physical properties in normal and superconducting states

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Critical temperature of a non-Fermi-liquid superconductor with an energy-dependent density of states

Cited by 14 publications

References 13 publications

Field-theoretical description of the crossover between BCS and BEC in a non-Fermi superconductor

Field-theoretical description of the crossover between BCS and BEC in a non-Fermi superconductor

Ginzburg-Landau expansion in non-Fermi-liquid superconductors: Effect of the mass renormalization factor

Specific heat jump in non-Fermi superconductors

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