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Article overview
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Investigation of fermionic pairing on two- dimensional tight binding lattice under phonon and electronic mechanisms within a Fermi liquid-like scenario and possible application to superconductivity in over doped cuprates | | Soumi Roy Chowdhury
; Ranjan Chaudhury
; | | Date: |
28 Jun 2015 | | Abstract: | Cooper’s original one pair problem in continuum is revisited here
corresponding to a two- dimensional lattice of tight binding nature, with an
aim to investigate superconductivity in quasi two dimensional systems. Both
phonon and exciton mediated attraction in a passive Fermi liquid background are
considered as possible pairing mechanism, with the non trivial energy
dependence of the electronic density of states in the form of Van Hove
singularity, taken into account in the calculation in a rigorous way. Some of
the observed electronic properties in the normal phases of quasi two-
dimensional cuprate superconductors in their over doped regions are used for
the developement of the formalism and calculations. The results of our
calculations show that a realistic fermionic pair formation is indeed possible,
in conformity with more sophisticated treatment like Eliashberg theory. The
estimates for various physical properties like the coherence length and the
coupling constant from our theoretical calculations agree quite well with those
from both Eliashberg theory based calculations and experiments. Furthermore,
electronic mechanism turns out to be the more likely candidate for pair
formation from our calculations in the overdoped phase. | | Source: | arXiv, 1506.8373 | | Services: | Forum | Review | PDF | Favorites | |
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