Analytic solution of the BCS gap equation inD dimensions (D=1, 2, 3), at finite temperatures

Bhardwaj, A.; Muthu, Satish

doi:10.1007/bf02847297

Cited by 2 publications

(4 citation statements)

References 8 publications

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“…For comparison we also include the T c values obtained with a constant DOS (Eq. (33) of [3]) for n 3X0. The values of l and T F used in this computation are taken from [11].…”

Section: Solution Of Bcs Gap Equation For N >mentioning

confidence: 97%

“…The case n b 1 was studied to include the possibility of non-phononic pairing. In an earlier paper [3] these results were extended to finite temperatures, making the usual simplifying assumption of a constant density of states (DOS).…”

Section: Introductionmentioning

confidence: 99%

“…Apart from its role in enhancing T c , a singularity in the electronic DOS was invoked by several authors [4 to 8] to explain an amplified value of DCT c aC n T c , the ratio of jump in the specific heat to the normal specific heat at T c , and the anomalous behaviour of the isotope exponent a in some high-T c materials. The present paper is an extension of [3] to the case of a singular DOS, the singularity being logarithmic in nature.…”

Section: Introductionmentioning

confidence: 99%

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Analytic Solution of the BCS Gap Equation with a Logarithmic Singularity in the Density of States

Bhardwaj

Muthu

1999

phys. stat. sol. (b)

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The Bardeen-Cooper-Schrieffer (BCS) gap equation is solved analytically for a density of states function with a logarithmic singularity. It is an extension of our earlier work where we had assumed a constant density of states. We continue to work in the weak-coupling limit and consider both phononic and non-phononic pairings. Expressions are obtained for T c , D 0 (the gap at T 0), and the jump in the electronic specific heat at T T c . We also calculate the isotope exponent and show that it is possible to reproduce the broad features of the experimental results in this framework.

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“…For comparison we also include the T c values obtained with a constant DOS (Eq. (33) of [3]) for n 3X0. The values of l and T F used in this computation are taken from [11].…”

Section: Solution Of Bcs Gap Equation For N >mentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytic Solution of the BCS Gap Equation with a Logarithmic Singularity in the Density of States

Bhardwaj

Muthu

1999

phys. stat. sol. (b)

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“…The enormous amount of experimental data accumulated over the years has spawned a plethora of proposals ranging from Anderson's proposal [1] of a RVB (resonating valence bond) to a usual BCS framework with Cooper pairing mediated by phonons or other excitations like magnons, excitons, etc. [1,2]. An energy-dependent density of states has been invoked to explain, inter alia, the enhancement in T c , an amplified value of DC(T c )/C n (T c ), the ratio of the jump in the specific heat to the normal specific heat at T c , and the anomalous behaviour of the isotope exponent a [3].…”

Section: Introductionmentioning

confidence: 99%

A Model with a Singular Electronic Density of States and Some Properties of High-Temperature Superconductors

Bhardwaj

Muthu

2000

phys. stat. sol. (b)

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The influence of singularities in the electronic density of states (DOS) on high‐temperature superconductors is studied in the framework of the conventional BCS theory. By using a DOS with singularities at two different points we are able to explain the asymmetry in the isotope exponent α with respect to the point where Tc is maximum. A DOS with a power law singularity reproduces the vanishingly small values of α and large values of R2 = ΔC(Tc)/Cn(Tc), the ratio of the jump in the electronic specific heat to the normal specific heat at T = Tc, observed in certain high‐Tc materials. However, the value of the ratio R1 = 2Δ0/kBTc does not deviate much from its canonical BCS value of 3.53, in agreement with earlier results.

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Analytic solution of the BCS gap equation inD dimensions (D=1, 2, 3), at finite temperatures

Cited by 2 publications

References 8 publications

Analytic Solution of the BCS Gap Equation with a Logarithmic Singularity in the Density of States

Analytic Solution of the BCS Gap Equation with a Logarithmic Singularity in the Density of States

A Model with a Singular Electronic Density of States and Some Properties of High-Temperature Superconductors

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