Abstract
A Bose-Einstein condensate (BEC) of a nonzero momentum Cooper pair constitutes a composite boson or simply a boson. We demonstrated that the quantum coherence of the two-component BEC (boson and fermion condensates) is controlled by plasmons. It has been proposed that plasmons, observed in both electron-doped and hole-doped cuprates, originates from the long-range Coulomb screening, where the transfer momentum q ⟶ 0 . We further show that the screening mediates boson-fermion pairing at condensate state. While only about 1 % of plasmon energy mediates the charge pairing, most of the plasmon energy is used to overcome the modes that compete against superconductivity such as phonons, charge density waves, antiferromagnetism, and damping effects. Additionally, the dependence of frequency of plasmons on the material of a superconductor is also explored. This study gives a quantum explanation of the modes that enhance and those that inhibit superconductivity. The study informs the nature of electromagnetic radiations (EMR) that can enhance the critical temperature of such materials.
Highlights
A system that contains Cooper-pair bosons interacting with electrons in Bose-Einstein condensate (BEC) state was first proposed by Tolmachev [1]
It was predicted [7] that high temperature superconductivity (HTSC) arises from the coexistence of phonon and plasmon mechanisms. e fact is that Cooper pairs play a key role in HTSC already caters, to a large extend, for the phonon mechanism
In HTSC, the coherence length is of the order of few interatomic distances [32], e.g., 1.5 nm in the ab-plane of YBa2Cu3O7− δ [36]. e results given in Table 2 are in agreement with these predictions. e coherence length for the BFP condensate is comparable to omas–Fermi length, which is in the order of 10− 9 m. e boson-fermion pair in iron pnictide superconductors has shorter coherence length than that in cuprate superconductors
Summary
A system that contains Cooper-pair bosons interacting with electrons (fermions) in Bose-Einstein condensate (BEC) state was first proposed by Tolmachev [1]. Pasuparthy et al [6] have suggested that the strength of pairing in high temperature superconductors is determined by the unusual electronic excitations Some time back, it was predicted [7] that high temperature superconductivity (HTSC) arises from the coexistence of phonon and plasmon mechanisms. Charge density waves (CDW) influence the formation bosons-fermion pair condensate at the ground state. Short-range CDW arises from strong correlations, but it remains unclear as to whether they strictly cooperate or compete with superconductivity; in this case, plasmonic waves mediate boson-fermion interaction [21, 22]. Is study has focused on Coulomb screening of a Cooper-pair boson as it moves in an electron plasma under phonon mediation.
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