{
"id": "1908.04782",
"version": "v1",
"published": "2019-08-13T17:59:04.000Z",
"updated": "2019-08-13T17:59:04.000Z",
"title": "Pairing in two-dimensional Fermi gases with a coordinate-space potential",
"authors": [
"Tash Zielinski",
"Bernard Ross",
"Alexandros Gezerlis"
],
"comment": "8 pages, 9 figures",
"categories": [
"cond-mat.quant-gas",
"nucl-th"
],
"abstract": "In this work we theoretically study pairing in two-dimensional Fermi gases, a system which is experimentally accessible using cold atoms. We start by deriving the mean-field pairing gap equation for a coordinate-space potential with a finite interaction range, and proceed to solve this numerically. We find that for sufficiently short effective ranges the answer is identical to the zero-range one. We then use Diffusion Monte Carlo to evaluate the total energy for many distinct particle numbers; we employ several variational parameters to produce a good ground-state energy and then use these results to extract the pairing gap across a number of interaction strengths in the strongly interacting two-dimensional crossover. Extracting the gap via the odd-even energy staggering, our microscopic results can be used as benchmarks for other theoretical approaches.",
"revisions": [
{
"version": "v1",
"updated": "2019-08-13T17:59:04.000Z"
}
],
"analyses": {
"keywords": [
"two-dimensional fermi gases",
"coordinate-space potential",
"finite interaction range",
"distinct particle numbers",
"mean-field pairing gap equation"
],
"note": {
"typesetting": "TeX",
"pages": 8,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}