Depairing and Bose-Einstein-condensation temperatures in a simple boson-fermion model of superconductors
T. A. Mamedov, M. de Llano
DOI 10.1103/PhysRevB.75.104506 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
Starting from the Friedberg-TD Lee Hamiltonian describing a coexisting and dynamically interacting many-particle binary boson-fermion gas mixture with a coupling (λ)-dependent gap 2Δ(λ) in the boson dispersion relation for the s-wave Cooper or BCS model interaction, we deduce several observed characteristic features of high-temperature superconductors at the simplest level. Analytic expressions for both the unpaired-fermion and boson number densities, as well for the fermion chemical potential μ(λ,T), all of which vary with the degree of bosonization and with temperature T, are derived in detail using two-time, finite-temperature Green function techniques. Simple implicit formulas are then obtained for both two and three dimensions for the pseudogap T* and Bose-Einstein condensation Tc temperatures in terms of μ(λ,T) and 2Δ(λ). In particular, even at the s-wave level we find a self-consistent description of the generic phase diagram observed in cuprates, including the appearance of a pseudogap and a dome-shaped Tc vs doping behavior both of which hinge on the gapped boson spectrum.
Similar papers
Generalization of BCS theory to short coherence length superconductors: A BCS--Bose-Einstein crossover scenario
similarity 0.91Qijin Chen · 2018 · arXiv:1801.06266
Source status unknown — claims are unverified
Microscopic theory of pseudogap phenomena and unconventional Bose-liquid superconductivity and superfluidity in high- cuprates and other systems
similarity 0.91Dzhumanov, S. · 2020 · arXiv:1912.12407
Source status unknown — claims are unverified
Superconducting phase coherence in the presence of a pseudogap: Relation to specific heat, tunneling, and vortex core spectroscopies
similarity 0.91Qijin Chen et al.
Source status unknown — claims are unverified
Bosonization of Cooper pairs and novel Bose-liquid superconductivity and superfluidity in high- cuprates and other systems
similarity 0.90S. Dzhumanov · 2017 · arXiv:1709.02110
Source status unknown — claims are unverified