Some Implications of an Alternate Equation for the BCS Energy Gap

Affiliation(s)

Theory Group, School of Environmental Sciences, Jawaharlal Nehru University, New Delhi, India.

Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México Apdo, México City, México.

Theory Group, School of Environmental Sciences, Jawaharlal Nehru University, New Delhi, India.

Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México Apdo, México City, México.

ABSTRACT

A set of generalized-BCS equations (GBCSEs) was recently derived from a temperature-dependent Bethe-Salpeter equation and shown to deal satisfactorily with the experimental data comprising the *T _{c}s* and the

Cite this paper

G. Malik and M. Llano, "Some Implications of an Alternate Equation for the BCS Energy Gap,"*Journal of Modern Physics*, Vol. 4 No. 4, 2013, pp. 6-12. doi: 10.4236/jmp.2013.44A002.

G. Malik and M. Llano, "Some Implications of an Alternate Equation for the BCS Energy Gap,"

References

[1] J. Bardeen, L. N. Cooper and J. R. Schrieffer, “Theory of Superconductivity,” Physical Review, Vol. 108, No. 5, 1957, pp. 1175-1204. doi:10.1103/PhysRev.108.1175

[2] G. P. Malik, “On the Equivalence of the Binding Energy of a Cooper Pair and the BCS Energy Gap: A Framework for Dealing with Composite Superconductors,” International Journal of Modern Physics B, Vol. 24, No. 9, 2010, pp. 1159-1172. doi:10.1142/S0217979210055408

[3] G. P. Malik, “Generalized BCS Equations: Applications,” International Journal of Modern Physics B, Vol. 24, No. 19, 2010, pp. 3701-3712. doi:10.1142/S0217979210055858

[4] G. P. Malik and U. Malik, “A Study of the Thallium- and Bismuth-Based High-Temperature Superconductors in the Framework of the Generalized BCS Equations,” Journal of Superconductivity and Novel Magnetism, Vol. 24, No. 1-2, 2011, pp. 255-260. doi:10.1007/s10948-010-1009-0

[5] H. Suhl, B. T. Matthias and L. R. Walker, “Bardeen-Cooper-Schrieffer Theory of Super-Conductivity in the Case of Overlapping Bands,” Physical Review Letters, Vol. 3, 1959, pp. 552-554. doi:10.1103/PhysRevLett.3.552

[6] C. P. Poole, “Handbook of Superconductivity,” Academic Press, San Diego, 2000, p. 48.

[7] D. Pines, “Superconductivity in the Periodic System,” Physical Review, Vol. 109, No. 2, 1958, pp. 280-287. doi:10.1103/PhysRev.109.280

[8] T. Mamedov and M. de Llano, “Superconducting Pseudogap in a Boson-Fermion Model,” Journal of the Physical Society of Japan, Vol. 79, No. 4, 2010, Article ID: 044706.

[9] T. Mamedov and M. de Llano, “Generalized Superconducting Gap in an Anisotropic BosonFermion Mixture with a Uniform Coulomb Field,” Journal of the Physical Society of Japan, Vol. 80, No. 4, 2011, Article ID: 074718.

[10] G. P. Malik, “On Landau Quantization of Cooper Pairs in a Heat Bath,” Physica B: Condensed Matter, Vol. 405, No. 16, 2011, pp. 3475-3481. doi:10.1016/j.physb.2010.05.026

[11] J. M. Blatt, “Theory of Superconductivity,” Academic Press, New York, 1964, p. 206.

[12] T. P. Sheahan, “Effective Interaction Strength in Superconductors,” Physical Review, Vol. 149, No. 1, 1966, pp. 370-377. doi:10.1103/PhysRev.149.370

[13] S. Weinberg, “Gauge and Global Symmetries at High Temperature,” Physical Review D, Vol. 9, No. 12, 1974, pp. 3357-3378. doi:10.1103/PhysRevD.9.3357

[14] A. D. Linde, “Phase Transitions in Gauge Theories and Cosmology,” Reports on Progress in Physics, Vol. 42, No. 3, 1979, pp. 390-437. doi:10.1088/0034-4885/42/3/001

[15] L. Dolan and R. Jackiw, “Symmetry Behavior at Finite Temperture,” Physical Review D, Vol. 9, No. 12, 1974, pp. 3320-3341. doi:10.1103/PhysRevD.9.3320

[16] G. P. Malik and L. K. Pande, “Wick-Cutkosky Model in the Large-Temperature Limit,” Physical Review D, Vol. 37, No. 12, 1988, pp. 3742-3748. doi:10.1103/PhysRevD.37.3742

[17] G. P. Malik, L. K. Pande and V. S. Varma, “On Solar Emission Lines,” The Astrophysical Journal, Vol. 379, 1991, pp. 788-795. doi:10.1086/170554

[18] G. P. Malik, R. K. Jha and V. S. Varma, “Mass Spectrum of the Temperature-Dependent Bethe-Salpeter Equation for Composites of Quarks with a Coulomb plus a Linear Kernel,” The European Physical Journal A, Vol. 2, No. 1, 1998, pp. 105-110. doi:10.1007/s100500050096

[19] G. P. Malik, R. K. Jha and V. S. Varma, “Quarkonium Mass Spectra from the Temperature-Dependent Bethe-Salpeter Equation with Logarithmic and Coulomb plus Square-Root Kernels,” The European Physical Journal A, Vol. 3, No. 4, 1998, pp. 373-375. doi:10.1007/s100500050191

[20] B. T. Geilikman, “Thermal Conductivity of Super-Conductors,” Soviet Physics, Vol. 7, 1958, pp. 721-722.

[21] B. T. Geilikman and V. Z. Kresin, “Phonon Thermal Conductivity of Superconductors,” Soviet Physics Dolady, Vol. 3, No. 6, 1958, pp. 1161-1163.

[22] J. Bardeen, G. Rickayzen and L. Tewordt, “Theory of Thermal Conductivity of Superconductors,” Physical Review, Vol. 113, No. 4, 1959, pp. 982-994. doi:10.1103/PhysRev.113.982

[1] J. Bardeen, L. N. Cooper and J. R. Schrieffer, “Theory of Superconductivity,” Physical Review, Vol. 108, No. 5, 1957, pp. 1175-1204. doi:10.1103/PhysRev.108.1175

[2] G. P. Malik, “On the Equivalence of the Binding Energy of a Cooper Pair and the BCS Energy Gap: A Framework for Dealing with Composite Superconductors,” International Journal of Modern Physics B, Vol. 24, No. 9, 2010, pp. 1159-1172. doi:10.1142/S0217979210055408

[3] G. P. Malik, “Generalized BCS Equations: Applications,” International Journal of Modern Physics B, Vol. 24, No. 19, 2010, pp. 3701-3712. doi:10.1142/S0217979210055858

[4] G. P. Malik and U. Malik, “A Study of the Thallium- and Bismuth-Based High-Temperature Superconductors in the Framework of the Generalized BCS Equations,” Journal of Superconductivity and Novel Magnetism, Vol. 24, No. 1-2, 2011, pp. 255-260. doi:10.1007/s10948-010-1009-0

[5] H. Suhl, B. T. Matthias and L. R. Walker, “Bardeen-Cooper-Schrieffer Theory of Super-Conductivity in the Case of Overlapping Bands,” Physical Review Letters, Vol. 3, 1959, pp. 552-554. doi:10.1103/PhysRevLett.3.552

[6] C. P. Poole, “Handbook of Superconductivity,” Academic Press, San Diego, 2000, p. 48.

[7] D. Pines, “Superconductivity in the Periodic System,” Physical Review, Vol. 109, No. 2, 1958, pp. 280-287. doi:10.1103/PhysRev.109.280

[8] T. Mamedov and M. de Llano, “Superconducting Pseudogap in a Boson-Fermion Model,” Journal of the Physical Society of Japan, Vol. 79, No. 4, 2010, Article ID: 044706.

[9] T. Mamedov and M. de Llano, “Generalized Superconducting Gap in an Anisotropic BosonFermion Mixture with a Uniform Coulomb Field,” Journal of the Physical Society of Japan, Vol. 80, No. 4, 2011, Article ID: 074718.

[10] G. P. Malik, “On Landau Quantization of Cooper Pairs in a Heat Bath,” Physica B: Condensed Matter, Vol. 405, No. 16, 2011, pp. 3475-3481. doi:10.1016/j.physb.2010.05.026

[11] J. M. Blatt, “Theory of Superconductivity,” Academic Press, New York, 1964, p. 206.

[12] T. P. Sheahan, “Effective Interaction Strength in Superconductors,” Physical Review, Vol. 149, No. 1, 1966, pp. 370-377. doi:10.1103/PhysRev.149.370

[13] S. Weinberg, “Gauge and Global Symmetries at High Temperature,” Physical Review D, Vol. 9, No. 12, 1974, pp. 3357-3378. doi:10.1103/PhysRevD.9.3357

[14] A. D. Linde, “Phase Transitions in Gauge Theories and Cosmology,” Reports on Progress in Physics, Vol. 42, No. 3, 1979, pp. 390-437. doi:10.1088/0034-4885/42/3/001

[15] L. Dolan and R. Jackiw, “Symmetry Behavior at Finite Temperture,” Physical Review D, Vol. 9, No. 12, 1974, pp. 3320-3341. doi:10.1103/PhysRevD.9.3320

[16] G. P. Malik and L. K. Pande, “Wick-Cutkosky Model in the Large-Temperature Limit,” Physical Review D, Vol. 37, No. 12, 1988, pp. 3742-3748. doi:10.1103/PhysRevD.37.3742

[17] G. P. Malik, L. K. Pande and V. S. Varma, “On Solar Emission Lines,” The Astrophysical Journal, Vol. 379, 1991, pp. 788-795. doi:10.1086/170554

[18] G. P. Malik, R. K. Jha and V. S. Varma, “Mass Spectrum of the Temperature-Dependent Bethe-Salpeter Equation for Composites of Quarks with a Coulomb plus a Linear Kernel,” The European Physical Journal A, Vol. 2, No. 1, 1998, pp. 105-110. doi:10.1007/s100500050096

[19] G. P. Malik, R. K. Jha and V. S. Varma, “Quarkonium Mass Spectra from the Temperature-Dependent Bethe-Salpeter Equation with Logarithmic and Coulomb plus Square-Root Kernels,” The European Physical Journal A, Vol. 3, No. 4, 1998, pp. 373-375. doi:10.1007/s100500050191

[20] B. T. Geilikman, “Thermal Conductivity of Super-Conductors,” Soviet Physics, Vol. 7, 1958, pp. 721-722.

[21] B. T. Geilikman and V. Z. Kresin, “Phonon Thermal Conductivity of Superconductors,” Soviet Physics Dolady, Vol. 3, No. 6, 1958, pp. 1161-1163.

[22] J. Bardeen, G. Rickayzen and L. Tewordt, “Theory of Thermal Conductivity of Superconductors,” Physical Review, Vol. 113, No. 4, 1959, pp. 982-994. doi:10.1103/PhysRev.113.982