Abstract
The defect-induced anharmonic phonon-electron problem in high-temperature superconductors has been investigated with the help of double time thermodynamic electron and phonon Green’s function theory using a comprehensive Hamiltonian which includes the contribution due to unperturbed electrons and phonons, anharmonic phonons, impurities, and interactions of electrons and phonons. This formulation enables one to resolve the problem of electronic heat transport and equilibrium phenomenon in high-temperature superconductors in an amicable way. The problem of electronic heat capacity and electron-phonon problem has been taken up with special reference to the anharmonicity, defect concentration electron-phonon coupling, and temperature dependence.
Highlights
With the remarkable discovery of high-temperature superconductivity (HTSC) in the Ba-La-Cu-O system with TTcc ∼ 30 K by Bednorz and Mullers there begins a new exciting era in condensed matter physics because of their variety of applications in science and technology. e pairing mechanism in high temperature superconductors (HTS), being an unresolved problem, there are large number of experimental evidences that the electron-phonon (e-p) interaction together with strong electronic correlations plays a decisive role in understanding the phenomenon of superconductivity [1]
Investigations obviously exhibit that the EDOS depends on electron energy and becomes a function of various renormalized/perturbed mode energies, pairon energies, temperature, anharmonicity, and defect concentration
The electron phonon contribution to EDOS has been depicted in Figure 1. is work investigates the general theory of EHC for HTS and reveals that the EHC is not a simple quantity as (∼ γγγγ) but comprises of defect contribution CCDeeDee (TTT, anharmonic contribution CC3eeeAe A(TTT, and electron-phonon contribution through electron-phonon coupling constant g(k)
Summary
With the remarkable discovery of high-temperature superconductivity (HTSC) in the Ba-La-Cu-O system with TTcc ∼ 30 K by Bednorz and Mullers there begins a new exciting era in condensed matter physics because of their variety of applications in science and technology. e pairing mechanism in high temperature superconductors (HTS), being an unresolved problem, there are large number of experimental evidences that the electron-phonon (e-p) interaction together with strong electronic correlations plays a decisive role in understanding the phenomenon of superconductivity [1]. With the remarkable discovery of high-temperature superconductivity (HTSC) in the Ba-La-Cu-O system with TTcc ∼ 30 K by Bednorz and Mullers there begins a new exciting era in condensed matter physics because of their variety of applications in science and technology. E pairing mechanism in high temperature superconductors (HTS), being an unresolved problem, there are large number of experimental evidences that the electron-phonon (e-p) interaction together with strong electronic correlations plays a decisive role in understanding the phenomenon of superconductivity [1]. It is reported that e-p coupling plays a crucial role in determining the electron density of states (EDOS) and electronic heat capacity (EHC). E speci c heat which can be determined from temperature dependence and the spectrum of electrons and phonons has always been a central one in view of its importance in understanding the lowtemperature phenomenon in solids. The expressions for EDOS and EHC have been obtained with the help of many body Green’s function theory which uses an almost complete Hamiltonian via quantum dynamics of electrons and phonons
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