Two-dimensional BCS-BEC Crossover at Finite Temperature -A Study on the D-wave Pair Susceptibility
Date Issued
2003
Date
2003
Author(s)
Chen, Chih-Yu
DOI
en-US
Abstract
In this article we studied the BCS-BEC crossover in two-dimensional d-wave pairing at finite temperature. We would life to calculat the relation between condensate numbers and chemical potential and then find the energy gap in superconductors. We will discuss the attractive seperable potential and the contact (hard core) potential with d-wave form. The main diffrence between d-wave and s-wave is that the d-wave is angle dependent. It will lead to a factor of 1/2 in the perturbation expansion of the hard core potential.
We analyzed the asymptotic property of the two potentials. It is showed that the pair susceptibility will diverge for some kinds of potential. That is, some of potentials is computable in mean field theory but not in the pair susceptibility method.
Subjects
d波
BCS-BEC跨越
d-wave
crossover
finite temperature
pair susceptibility
Type
thesis
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