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Effects of spatial dispersion on the Casimir force between graphene sheets

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  • D. Drosdoff
  • A. Phan
  • L. Woods
  • I. Bondarev
  • J. Dobson

Abstract

The asymptotic dispersion force F between two graphene sheets at a separation d is unusual: at T=0 K, F ∼ C d −p , where p=4, unlike the 2D insulating (p=5) or metallic (p=7/2) cases. Here it is shown that these anomalous low-temperature properties of p are retained even when spatial dispersion (nonlocality) is included in the optical response properties of graphene. Furthermore, it is shown that the prefactor C is only weakly decreased (by >20%) upon spatial dispersion inclusion. For larger temperatures and nonzero chemical potential, such dispersion has even a lesser effect on the graphene/graphene force. The opening of a band gap in the graphene electronic structure, however, can cause larger sensitivity to spatial dispersion at elevated temperatures. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Suggested Citation

  • D. Drosdoff & A. Phan & L. Woods & I. Bondarev & J. Dobson, 2012. "Effects of spatial dispersion on the Casimir force between graphene sheets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(11), pages 1-6, November.
  • Handle: RePEc:spr:eurphb:v:85:y:2012:i:11:p:1-6:10.1140/epjb/e2012-30741-6
    DOI: 10.1140/epjb/e2012-30741-6
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    Mesoscopic and Nanoscale Systems;

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