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

Abstract

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.

arXiv comment8 pages, 3 figures

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Cited by in corpus (5)

• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• Non-relativistic trace anomaly and equation of state in dense fermionic matter
• Nonuniversal Equation of State of a Quasi-2D Bose Gas in Dimensional Crossover
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• Finite-range effect in the two-dimensional density-induced BCS-BEC crossover