We study the Bardeen–Cooper–Shrieffer (BCS) pairing state of a two-component Bose gas with a symmetric spin–orbit coupling (SOC). In the dilute limit at low temperature, this system is essentially a dilute gas of diatomic molecules. We compute the effective mass of the molecule and find that it is anisotropic in momentum space. The critical temperature of the pairing state is about eight times smaller than the Bose–Einstein condensation (BEC) transition temperature of an ideal Bose gas with the same density.We study the Bardeen–Cooper–Shrieffer (BCS) pairing state of a two-component Bose gas with a symmetric spin–orbit coupling (SOC). In the dilute limit at low temperature, this system is essentially a dilute gas of diatomic molecules. We compute the effective mass of the molecule and find that it is anisotropic in momentum space. The critical temperature of the pairing state is about eight times smaller than the Bose–Einstein condensation (BEC) transition temperature of an ideal Bose gas with the same density.

arXiv:1709.10239International Journal of Modern Physics BAug 29, 20171 citation

Transition temperature of a dense charged bose gas

Alexander L. Fetter

Annals of PhysicsMay 1, 197138 citations

Transition temperature of the homogeneous and dilute Bose gas in D-dimensions

Sanghoon Kim

The phase transition temperature of the homogeneous and dilute Bose gas in D-dimensions ( $2 \le D \le 3$ ) is calculated by a mean field-based statistical method. The shift of the phase transition temperature is written up to the leading order as $ΔT_c/T_c^0 = c \gam^{\al}$, where $\gam=n^{1/3}a$. We derived Huang's result of the phase transition temperature in the generalized dimensions. We show that $ c(D)$ is positive and $\al(D)=2(D/2-1)^2$ in the short-wavelength range. The origin of the difference between $\al=1/2$ and $\al=1$ at D=3 is discussed. The $T_c$ at D=2 is calculated in the same scheme. The result is compared with Fisher and Hohenberg's KT temperature.The phase transition temperature of the homogeneous and dilute Bose gas in D-dimensions ($2 \le D \le 3$) is calculated by a mean field-based statistical method. The shift of the phase transition temperature is written up to the leading order as $ΔT_c/T_c^0 = c \gam^{\al}$, where $\gam=n^{1/3}a$. We derived Huang's result of the phase transition temperature in the generalized dimensions. We show that $ c(D)$ is positive and $\al(D)=2(D/2-1)^2$ in the short-wavelength range. The origin of the difference between $\al=1/2$ and $\al=1$ at D=3 is discussed. The $T_c$ at D=2 is calculated in the same scheme. The result is compared with Fisher and Hohenberg's KT temperature.

arXiv:0707.1538Jul 10, 20071 citation

The phase transition temperature of the homogeneous and dilute Bose gas in D-dimensions (

2 \le D \le 3

) is calculated by a mean field-based statistical method. The shift of the phase transition temperature is written up to the leading order as $ΔT_c/T_c^0 = c \gam^{\al}$, where $\gam=n^{1/3}a$. We derived Huang's result of the phase transition temperature in the generalized dimensions. We show that $ c(D)$ is positive and $\al(D)=2(D/2-1)^2$ in the short-wavelength range. The origin of the difference between $\al=1/2$ and $\al=1$ at D=3 is discussed. The

T_c

at D=2 is calculated in the same scheme. The result is compared with Fisher and Hohenberg's KT temperature.