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Quantum mechanical limitations to spin diffusion in the unitary Fermi gas

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2012

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Enss, Tilman

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http://nbn-resolving.de/urn:nbn:de:bsz:352-220256
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https://doi.org/10.1103/PhysRevLett.109.195303
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Physical Review Letters. 2012, 109(19). ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.109.195303

Zusammenfassung

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 $\Gamma_\sd \simeq 1.2 k_B T_F/\hbar$ in terms of the Fermi temperature $T_F$. The frequency-dependent spin conductivity $\sigma_s(\omega)$ exhibits a broad Drude peak, with spectral weight transferred to a universal high-frequency tail $\sigma_s(\omega \to\infty) = \hbar^{1/2}C/3\pi(m\omega)^{3/2}$ proportional to the Tan contact density $C$. For the spin susceptibility $\chi_s(T)$ we find no downturn in the normal phase.

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ISO 690ENSS, Tilman, Rudolf HAUSSMANN, 2012. Quantum mechanical limitations to spin diffusion in the unitary Fermi gas. In: Physical Review Letters. 2012, 109(19). ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.109.195303
BibTex
@article{Enss2012Quant-22025,
  year={2012},
  doi={10.1103/PhysRevLett.109.195303},
  title={Quantum mechanical limitations to spin diffusion in the unitary Fermi gas},
  number={19},
  volume={109},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Enss, Tilman and Haussmann, Rudolf}
}
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    <dcterms:abstract xml:lang="eng">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 $\Gamma_\sd \simeq 1.2 k_B T_F/\hbar$ in terms of the Fermi temperature $T_F$. The frequency-dependent spin conductivity $\sigma_s(\omega)$ exhibits a broad Drude peak, with spectral weight transferred to a universal high-frequency tail $\sigma_s(\omega \to\infty) = \hbar^{1/2}C/3\pi(m\omega)^{3/2}$ proportional to the Tan contact density $C$. For the spin susceptibility $\chi_s(T)$ we find no downturn in the normal phase.</dcterms:abstract>
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