Effects of spatial dispersion on the Casimir force between graphene sheets

Drosdoff, D.; Phan, Anh D.; Woods, Lilia M.; Bondarev, I. V.; Dobson, John F.

doi:10.1140/epjb/e2012-30741-6

Cited by 39 publications

(39 citation statements)

References 38 publications

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“…(7) was used for pure graphene with the chemical potential µ C = 0. If µ C = 0, the graphene conductivity has to be rewritten in the form of [33] σ(µ C , iξ) = e 2 k B T ln(2)…”

Section: Resultsmentioning

confidence: 99%

Interaction of a graphene sheet with a ferromagnetic metal plate

Phan

Việt²,

Poklonski

et al. 2012

Phys. Rev. B

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Nanoscale surface forces such as Casimir and the van der Waals forces can have a significant influence on fabrication, handling and assembly processes as well as the performance of micro and nano devices. In this paper, the investigation and the calculation of the Casimir force between a graphene sheet and a ferromagnetic metal substrate in a vacuum are presented. The reflection coefficients of graphene are graphene-conductivity dependent, and the conductivity of graphene is described by the Kubo formalism. There is an effect of magnetic properties of the metal on the Casimir interaction. The magnetic effect plays a significant role at low temperatures or high value of chemical potential.The numerical results also demonstrate that the thickness of a metal slab has a minor influence on the Casimir force. The investigation and findings about the Casimir force in this study would lead to useful information and effective solutions for design and manufacturing of micro and nano devices, especially in the areas of micro and nano machining, fabrication, manipulation, assembly and metrology.

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“…(7) was used for pure graphene with the chemical potential µ C = 0. If µ C = 0, the graphene conductivity has to be rewritten in the form of [33] σ(µ C , iξ) = e 2 k B T ln(2)…”

Section: Resultsmentioning

confidence: 99%

Interaction of a graphene sheet with a ferromagnetic metal plate

Phan

Việt²,

Poklonski

et al. 2012

Phys. Rev. B

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“…The prime over the summation sign indicates multiplication by a factor 1/2 in the l = 0 term. The reflection coefficients of the electromagnetic oscillations on graphene can be determined using either the hydrodynamic model [35][36][37] or Dirac model [26,[38][39][40][41][42][43]. In the hydrodynamic model, graphene is considered as an infinitesimally thin positively charged flat sheet carrying a homogeneous fluid with some mass and negative charge densities.…”

Section: Theorymentioning

confidence: 99%

Emending thermal dispersion interactions of Li, Na, K, and Rb alkali-metal atoms with graphene in the Dirac model

Kaur

Arora

et al. 2014

Phys. Rev. B

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Using accurate dynamic polarizabilities of Li, Na, K and, Rb atoms, we scrutinize the thermal Casimir-Polder interactions of these atoms with a single layered graphene. Considering the modified Lifshitz theory for material interactions, we reanalyze the dispersion coefficients (C3s) of the above atoms with graphene as functions of separation distance, gap parameter and temperature among which some of them were earlier studied by estimating dynamic polarizabilities of the above atoms from the single oscillator model approximation. All these C3 coefficients have been evaluated in the framework of the Dirac model. The interactions are described for a wide range of distances and temperatures to demonstrate the changes in behavior with the varying conditions of the system and also sensitivities in the interactions are analyzed by calculating them for different values of the gap parameter. From these analyses, we find a suitable value of the gap parameter for which the true nature of the interactions in graphene can be surmised more accurately.

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“…We would also like to remark that, surprisingly, the above mentioned power law dependence was in sharp contrast to the case of two layers of two-dimensional metals (D − 7 2 ) or insulators (D −5 ) and the difference was attributed to the unique bandstructure of graphene 37 . There have also been studies reporting finite temperature 30,38,39 calculations and with doped as well as gapped graphene 40 .…”

Section: Anisotropic Models and The Van Der Waals Forcementioning

confidence: 99%

van der Waals forces and electron-electron interactions in two strained graphene layers

et al. 2014

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We evaluate the van der Waals (vdW) interaction energy at zero temperature between two undoped strained graphene layers separated by a finite distance. We consider the following three models for the anisotropic case: (a) where one of the two layers is uniaxially strained, (b) the two layers are strained in the same direction, and (c) one of the layers is strained in the perpendicular direction with respect to the other. We find that for all three models and given value of the electronelectron interaction coupling, the vdW interaction energy increases with increasing anisotropy. The effect is most striking for the case when both layers are strained in the same direction where we observe up to an order of magnitude increase in the strained relative to the unstrained case. We also investigate the effect of electron electron interaction renormalization in the region of large separation between the strained graphene layers. We find that the many-body renormalization contributions to the correlation energy are non negligible and the vdW interaction energy decreases as a function of increasing distance between the layers due to renormalization of the Fermi velocity, the anisotropy, and the effective interaction. Our analysis can be useful in designing novel graphene-based vdW heterostructures which, in recent times, has seen an upsurge in research activity.

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Effects of spatial dispersion on the Casimir force between graphene sheets

Cited by 39 publications

References 38 publications

Interaction of a graphene sheet with a ferromagnetic metal plate

Interaction of a graphene sheet with a ferromagnetic metal plate

Emending thermal dispersion interactions of Li, Na, K, and Rb alkali-metal atoms with graphene in the Dirac model

van der Waals forces and electron-electron interactions in two strained graphene layers

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