Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
Luca Salasnich (CNR-INFM, CNISM, Univ. Padova)
TL;DR
This paper derives an explicit formula for the condensate density in a two-dimensional Fermi superfluid, analyzing the BCS-BEC crossover using mean-field theory to understand fermionic pairing and condensation.
Contribution
It provides a new explicit formula for the condensate density in 2D Fermi gases and analyzes the BCS-BEC crossover with mean-field extended BCS theory.
Findings
Explicit formula for condensate density as a function of chemical potential and energy gap.
Analysis of off-diagonal long-range order across the BCS-BEC crossover.
Insights into fermionic pairing behavior in two-dimensional systems.
Abstract
We investigate the Bose-Einstein condensation of fermionic pairs in a two-dimensional uniform two-component Fermi superfluid obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy gap. By using the mean-field extended BCS theory, we analyze, as a function of the bound-state energy, the off-diagonal long-range order in the crossover from the Bardeen-Cooper-Schrieffer (BCS) state of weakly-bound Cooper pairs to the Bose-Einstein Condensate (BEC) of strongly-bound molecular dimers.
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