Thermodynamics of Attractive and Repulsive Fermi Gases in Two Dimensions

2014/08/12 by Weiran Li, Li, Weiran
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum, superfluid, helium dynamics #cond-mat.quant-gas

paper · pdf · doi:10.48550/arxiv.1408.2801

openalex publication_date 2014/08/12 · arxiv created 2014/08/14 · arxiv updated 2014/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the attractive and repulsive two-component Fermi gas with spin imbalance in two dimensions. Using a generalized T-matrix approximation, we examine the thermodynamic properties of both attractive and repulsive contact interacting Fermi gases. The interaction strength, which is characterized by the bound state energy E_b=ℏ²/m a_2d² in vacuum, can be adjusted through a Feshbach resonance. We calculate the interaction energy, compressibility and spin susceptibility of the two branches of the Fermi gas. For the repulsive branch, we also find a critical strength of interaction a_2d^(c) above which this metastable thermodynamic state becomes unstable. This critical value depends on the temperature and the spin imbalance (the "magnetization") of the system.

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