Ferromagnetic transition of a spin–orbit coupled dipolar Fermi gas at finite temperature

doi:10.1088/1674-1056/aba9ca

Abstract

We study the ferromagnetic transition of a two-component homogeneous dipolar Fermi gas with 1D spin–orbit coupling (SOC) at finite temperature. The ferromagnetic transition temperature is obtained as functions of dipolar constant λ_d, spin–orbit coupling constant λ_SOC and contact interaction constant λ_s. It increases monotonically with these three parameters. In the ferromagnetic phase, the Fermi surfaces of different components can be deformed differently. The phase diagrams at finite temperature are obtained.

Keywords: dipolar Fermi gas stoner model spin-orbit coupling

Received: 15 May 2020
Revised: 29 June 2020
Accepted manuscript online: 28 July 2020

Fund: the National Key Research and Development Project of China (Grant No. 2016YFA0301501).

Corresponding Authors: ^†Corresponding author. E-mail: yinlan@pku.edu.cn

Cite this article:

Xue-Jing Feng(冯雪景) and Lan Yin(尹澜) Ferromagnetic transition of a spin–orbit coupled dipolar Fermi gas at finite temperature 2020 Chin. Phys. B 29 110306

Fig. 1.

Magnetization M as functions of λ_d, λ_T, λ_SOC, and λ_s. (a) M increases with λ_d for λ_SOC = 0.7, λ_T = 0.1 and λ_s = 0; (b) M decreases with λ_T for λ_SOC = 1, λ_d = 0.26 and λ_s = 0; (c) M increases with λ_SOC for λ_d = 0.25, λ_T = 0.1 and λ_s = 0; (d) M increases with λ_s for λ_SOC, λ_d = 0.02 and λ_T = 0.1.

Fig. 2.

Ferromagnetic transition temperature as functions of λ_s, λ_d, λ_SOC. In (a), the solid line is the ferromagnetic transition temperature as a function of λ_s with λ_SOC = 0.6 and λ_d = 0.02 and the red dashed line is the result of the Stoner model. In (b), the solid line is the temperature for λ_SOC = 1 and λ_s = 0. The dashed line is the temperature for λ_SOC = 0.8 and λ_s = 0. The dotted line is the temperature for λ_SOC = 1.0 and λ_s = 0.2. In (c), the solid line is the temperature for λ_d = 0.27 and λ_s = 0. The dashed line is the temperature for λ_d = 0.22 and λ_s = 0. The dotted line is the temperature for λ_d = 0.27 and λ_s = 0.4. In the inset, these lines are saturated to different values at large λ_SOC.

Fig. 3.

Phase diagram at λ_T = 0.1. The horizontal axis represents SOC constant λ_SOC and the vertical axis represents DDI constant λ_d. The solid and dotted lines are ferromagnetic transition lines. The solid line is for λ_s = 0 while the dotted line is for λ_s = 1.

Fig. 4.

Parameters α₁ and α₂ as a function of λ_T with λ_SOC = 1.0, λ_d = 0.26 and λ_s = 0. As λ_T increases, α₁ and α₂ meet at the ferromagnetic transition temperature and then slowly approach to 1 from below, which indicates that the two Fermi surfaces are deformed differently in the ferromagnetic phase. The red solid line stands for the ideal Fermi surface.

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Ferromagnetic transition of a spin–orbit coupled dipolar Fermi gas at finite temperature

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