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arXiv 1804.03035cond-mat.quant-gascond-mat.stat-mech
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非平衡费米气体的普适phase diagram和标度函数

Universal phase diagram and scaling functions of imbalanced Fermi gases

Bernhard Frank, Johannes Lang, Wilhelm Zwerger

摘要:

讨论了有限不平衡下吸引费米气体的相图和普适标度函数。在化学势$μ$和有效磁场$h$为零时,酉气体存在量子多临界点,这一点首先由Nikolić和Sachdev讨论,根据逆散射长度$1/a$是负、正还是零,可以得到三种不同的相图。在Luttinger-Ward形式中,作为无量纲标度变量$T/μ$和$h/μ$的函数,计算幺正气体的相图和压力。结果表明,当超过$(h/μ)_c\simeq 1.09$的Clogston-Schirrasekhar极限时,幺正气体呈现出非均匀的超流相,其超流相的阶数为FFLO,可以达到$\simeq 0.03\, T_F$幺正性附近的临界温度.

英文摘要:

We discuss the phase diagram and the universal scaling functions of attractive Fermi gases at finite imbalance. The existence of a quantum multicritical point for the unitary gas at vanishing chemical potential $μ$ and effective magnetic field $h$, first discussed by Nikolić and Sachdev, gives rise to three different phase diagrams, depending on whether the inverse scattering length $1/a$ is negative, positive or zero. Within a Luttinger-Ward formalism, the phase diagram and pressure of the unitary gas is calculated as a function of the dimensionless scaling variables $T/μ$ and $h/μ$. The results indicate that beyond the Clogston-Chandrasekhar limit at $(h/μ)_c\simeq 1.09$, the unitary gas exhibits an inhomogeneous superfluid phase with FFLO order that can reach critical temperatures near unitarity of $\simeq 0.03\, T_F$.

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