2014/06/17 by Andrew Das Arulsamy, Arulsamy, Andrew Das
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1406.4242
openalex publication_date 2014/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We systematically explore the exquisiteness of Bardeen-Cooper-Schriefer(BCS)\ntheory where the BCS-type electron-phonon interaction is unambiguously\nreinforced as the only viable superglue in cuprate superconductors because\nphonon-induced scattering is effectively nil for Cooper pairs (in its original\nform), and also phonons are never required to Bose-condense. Here, we prove\nthat (i) the Cooper-pair binding energy can be strengthened to obtain high\nsuperconductor transition temperature (Tsc) and (ii) the existence of a\ngeneralized electron-phonon potential operator that can induce the\nfinite-temperature quantum phase transition between superconducting and strange\nmetallic phases. To lend support for this extended BCS theory, we derive the\nFermi-Dirac statistics for Cooper-pair electrons, which correctly captures the\nphysics of strongly bounded Cooper-pair break up with respect to changing\ntemperature or superconductor gap (gap-BCS). Finally, we further extend the BCS\nformalism within the ionization energy theory to prove (iii) the existence of\noptimal doping that has maximum Tsc(xoptimum) or gap-BCS (xoptimum), and (iv)\nthat the specific heat capacity jump at Tsc in cuprates is due to\nfinite-temperature quantum phase transition. Along the way, we expose the\nprecise microscopic reason why predicting (not guessing) a superconductor\nmaterial properly is in general a hard problem within any theory that require\npairing mechanism.\n