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arXiv 1207.3103cond-mat.quant-gascond-mat.str-el
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幺正费米气体中自旋扩散的量子力学限制

Quantum mechanical limitations to spin diffusion in the unitary Fermi gas

Tilman Enss, Rudolf Haussmann

摘要:

我们用强耦合Luttinger-Ward理论计算了幺正费米气体中的自旋输运。在量子简并状态下,自旋扩散率达到最小值$D_s \simeq 1.3 \hbar/m$,接近质量为$m$的粒子的扩散量子极限。相反,自旋拖曳率达到最大值$Γ_\sd \simeq 1.2 k_B T_F/\hbar$,以费米温度$T_F$表示。频率依赖性自旋电导率$σ_s(ω)$表现出宽的Drude峰,光谱权重转移到与Tan接触密度$C$成比例的通用高频尾部$σ_s(ω\to\infty) = \hbar^{1/2}C/3π(mω)^{3/2}$。对于自旋磁化率$χ_s(T)$,我们发现在正常阶段没有下降。

英文摘要:

We compute spin transport in the unitary Fermi gas using the strong-coupling Luttinger-Ward theory. In the quantum degenerate regime the spin diffusivity attains a minimum value of $D_s \simeq 1.3 \hbar/m$ approaching the quantum limit of diffusion for a particle of mass $m$. Conversely, the spin drag rate reaches a maximum value of $Γ_\sd \simeq 1.2 k_B T_F/\hbar$ in terms of the Fermi temperature $T_F$. The frequency-dependent spin conductivity $σ_s(ω)$ exhibits a broad Drude peak, with spectral weight transferred to a universal high-frequency tail $σ_s(ω\to\infty) = \hbar^{1/2}C/3π(mω)^{3/2}$ proportional to the Tan contact density $C$. For the spin susceptibility $χ_s(T)$ we find no downturn in the normal phase.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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