Pairing in two-dimensional Fermi gases with a coordinate-space potential
| Autor: | Zielinski, Tash, Ross, Bernard, Gezerlis, Alexandros |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 101, 033601 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.101.033601 |
| Popis: | 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. Comment: 9 pages, 10 figures; v2 corresponds to published version |
| Databáze: | arXiv |
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