Finite-temperature Casimir effect for graphene

  title={Finite-temperature Casimir effect for graphene},
  author={Ignat V. Fialkovsky and Valery N. Marachevsky and Dmitri Vassilevich},
  journal={Physical Review B},
We adopt the Dirac model for quasiparticles in graphene and calculate the finite temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at high temperature the Casimir interaction in such system is just one half of that for two ideal conductors separated by the same distance. In this limit single graphene layer behaves exactly as a Drude metal. In particular, the contribution of the TE mode is suppressed, while one of the TM mode… 

Figures from this paper

Theory of the Casimir Effect for Graphene at Finite Temperature

Theory of the Casimir effect for a flat graphene layer interacting with a parallel flat material is presented in detail. The high-temperature asymptotics of a free energy in a graphene-metal system


We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given for undoped

Polaritonic contribution to the Casimir energy between two graphene layers

We study the role of surface polaritons in the zero-temperature Casimir effect between two graphene layers that are described by the Dirac model. A parametric approach allows us to accurately

Demonstration of an Unusual Thermal Effect in the Casimir Force from Graphene.

It is confirmed experimentally that for graphene the effective temperature is determined by the Fermi velocity rather than by the speed of light.

The Casimir-Polder interaction of an atom and real graphene sheet: Verification of the Nernst heat theorem

We find the low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with real graphene sheet possessing nonzero energy gap and chemical potential. Employing the

Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

We review recent results on the low-temperature behaviors of the Casimir-Polder and Casimir free energy an entropy for a polarizable atom interacting with a graphene sheet and for two graphene

Casimir interactions between graphene sheets and metamaterials

The Casimir force between graphene sheets and metamaterials is studied. Theoretical results based on the Lifshitz theory for layered, planar, two-dimensional systems in media are presented. We

Low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with graphene

The analytic expressions for the free energy and entropy of the Casimir-Polder interaction between a polarizable and magnetizable atom and a graphene sheet are found in the limiting case of low

Thermal Casimir and Casimir–Polder interactions in N parallel 2D Dirac materials

The Casimir and Casimir–Polder interactions are investigated in a stack of equally spaced graphene layers. The optical response of the individual graphene is taken into account using gauge invariant

Effects of spatial dispersion on the Casimir force between graphene sheets

The asymptotic dispersion force F between two graphene sheets at a separation d is unusual: at T = 0 K, F ∼ Cd−p, where p = 4, unlike the 2D insulating (p = 5) or metallic (p = 7/2) cases. Here it is




  • Rev. B 80, 245406
  • 2009


  • Rev. D 81, 085023
  • 2010


  • Rev. B 74, 205431
  • 2006

A and V


  • Rev. D 33, 3704
  • 1986

Nature Mater

  • 6, 183 (2007); M. I. Katsnelson, Mater. Today 10, 20 (2007); A. K. Geim, Science 324, 1530
  • 2009


  • Rev. Lett. 84, 4757
  • 2000


  • Rev. A 82, 062111
  • 2010


  • Rev. B 66, 045108 (2002) [arXiv:condmat/0202422]; V. P. Gusynin and S. G. Sharapov, Phys. Rev. B 73, 245411 (2006) [arXiv:cond-mat/0512157]; V.P. Gusynin, S.G. Sharapov, J.P. Carbotte, New J. Phys. 11
  • 2009