Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction

Autor: Sakakibara, Hikaru, Tajima, Hiroyuki, Liang, Haozhao
Rok vydání: 2023
Předmět:
Zdroj: Phys. Rev. A 107, 053313 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.107.053313
Popis: Two-dimensional spin-1/2 fermions with the finite-range interaction are theoretically studied. Characterizing the attractive interaction in terms of the scattering length and the effective range, we discuss the finite-range effects on the ground-state properties in this system. The Brueckner $G$-matrix approach is employed to analyze the finite-range effects on an attractive Fermi-polaron energy and the equation of state throughout the BEC-BCS crossover in two dimensions, which can be realized in the population-imbalanced and -balanced cases between two components, respectively. The analytical formulae for these ground states obtained in this study would be useful for understanding many-body phenomena with finite-range interactions in low-dimensional systems.
Comment: 8 pages, 3 figures
Databáze: arXiv