Casimir interaction between a perfect conductor and graphene described by the Dirac model

@article{Bordag2009CasimirIB,
  title={Casimir interaction between a perfect conductor and graphene described by the Dirac model},
  author={Michael Bordag and Ignat V. Fialkovsky and D. M. Gitman and Dmitri Vassilevich},
  journal={Physical Review B},
  year={2009},
  volume={80},
  pages={245406}
}
We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the quantum-field-theory approach and evaluate the leading-order diagram in a theory with $2+1$-dimensional fermions interacting with $3+1$-dimensional photons. Next, we consider an effective theory for the electromagnetic field with matching conditions induced by quantum quasiparticles in… 

Figures from this paper

POLARIZATION ROTATION AND CASIMIR EFFECT IN SUSPENDED GRAPHENE FILMS

The low-energy quasi-excitations in graphene are known to be described as Dirac fermions in 2+1 dimensions. Adopting field-theoretical approach we investigate the interaction of these quasi-particles

QED and surface plasmons on graphene

We consider the quantum field theory approach to graphene. The model consists of the photon field in the bulk, i.e., in (3+1) dimensions, and a spinor field on a brane, i.e., in (2+1) dimensions.

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

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

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

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

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

Casimir-Lifshitz force and plasmons in a structure with two graphene sheets

A model is proposed for calculating the Casimir-Lifshitz force between two finite rectangular and infinite graphene sheets in a vacuum, based on the classical electrodynamic Green’s function method

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

Graphene transparency in weak magnetic fields

We carry out an explicit calculation of the vacuum polarization tensor for an effective low-energy model of monolayer graphene in the presence of a weak magnetic field of intensity B perpendicularly

Quantum Field Theoretical Approach to the Electrical Conductivity of Graphene

The longitudinal and transverse electrical conductivities of graphene are calculated at both zero and nonzero temperature starting from the first principles of thermal quantum field theory using the
...

References

SHOWING 1-10 OF 42 REFERENCES

Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusual

On the universal ac optical background in graphene

Latest experiments have confirmed the theoretically expected universal value πe2/2h of the ac conductivity of graphene and have revealed departures of the quasi-particle dynamics from predictions for

Dynamical polarization, screening, and plasmons in gapped graphene

  • P. K. Pyatkovskiy
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2009
TLDR
The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap and is used to find the dispersion of the plasmon mode and the static screening within the random phase approximation.

The Casimir Effect: Physical Manifestations of Zero-Point Energy

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily

Conductivity of suspended and non-suspended graphene at finite gate voltage

We compute the dc and the optical conductivity of graphene for finite values of the chemical potential by taking into account the effect of disorder, due to midgap states (unitary scatterers) and

Long-range interaction between adatoms in graphene.

TLDR
A theory of electron-mediated interaction between adatoms in graphene is presented, relevant for hydrogenated graphene, and a long-range 1/r interaction is found, viewed as a fermionic analog of the Casimir interaction, in which massless fermions play the role of photons.

The Casimir effect for thin plasma sheets and the role of the surface plasmons

We consider the Casimir force between two dielectric bodies described by the plasma model and between two infinitely thin plasma sheets. In both cases in addition to the photon modes, surface

Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interactions

Lifshitz-type formulas are obtained for the van der Waals and Casimir interaction between graphene and a material plate, graphene and an atom or a molecule, and between a single-wall carbon nanotube

Electronic properties of graphene

Graphene is the first example of truly two‐dimensional crystals – it's just one layer of carbon atoms. It turns out that graphene is a gapless semiconductor with unique electronic properties