Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
Quantum Gases
2024-03-20 v1 Superconductivity
Abstract
We theoretically investigate the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) crossover in a two-dimensional Fermi gas with the finite-range interaction by using the Hartree-Fock-Bogoliubov theory. Expanding the scattering phase shift in terms of the scattering length and effective range, we discuss the effect of the finite-range interaction on the pairing and thermodynamic properties. By solving the gap equation and the number equation self-consistently, we numerically calculate the effective-range dependence of the pairing gap, chemical potential, and pair size throughout the BCS-BEC crossover. Our results would be useful for further understanding of low-dimensional many-body problems.
Cite
@article{arxiv.2306.02127,
title = {Finite-range effect in the two-dimensional density-induced BCS-BEC crossover},
author = {Hikaru Sakakibara and Hiroyuki Tajima and Haozhao Liang},
journal= {arXiv preprint arXiv:2306.02127},
year = {2024}
}
Comments
15 pages, 6 figures