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Condensed Matter > Strongly Correlated Electrons

arXiv:1304.2891 (cond-mat)
[Submitted on 10 Apr 2013 (v1), last revised 11 Jul 2013 (this version, v2)]

Title:Short-distance properties of Coulomb systems

Authors:Johannes Hofmann, Marcus Barth, Wilhelm Zwerger
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Abstract:We use the operator product expansion to derive exact results for the momentum distribution and the static structure factor at high momentum for a jellium model of electrons in both two and three dimensions. It is shown that independent of the precise state of the Coulomb system and for arbitrary temperatures, the asymptotic behavior is a power law in the momentum, whose strength is determined by the contact value of the pair distribution function $g(0)$. The power-law tails are quantum effects which vanish in the classical limit $\hbar \to 0$. A leading order virial expansion shows that the classical and the high-temperature limit do not agree.
Comments: 13 pages, 4 figures, updated to status of published version
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); Nuclear Theory (nucl-th)
Report number: DAMTP-2013-18
Cite as: arXiv:1304.2891 [cond-mat.str-el]
  (or arXiv:1304.2891v2 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.1304.2891
Journal reference: Phys. Rev. B 87, 235125 (2013)
Related DOI: https://doi.org/10.1103/PhysRevB.87.235125

Submission history

From: Marcus Barth [view email]
[v1] Wed, 10 Apr 2013 09:51:07 UTC (37 KB)
[v2] Thu, 11 Jul 2013 14:18:57 UTC (203 KB)
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