Casimir interactions in graphene systems

Abstract

The non-retarded Casimir interaction (van der Waals interaction) between two free standing graphene sheets as well as between a graphene sheet and a substrate is determined. An exact analytical expression is given for the dielectric function of graphene along the imaginary frequency axis within the random phase approximation for arbitrary frequency, wave vector, and doping.

4 pages, 4 figures

References in corpus (8)

• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Observation of the thermal Casimir force
• Chirality and Correlations in Graphene
• High-multipolar effects on the Casimir force: the non-retarded limit
• High-Multipolar Effects on Dispersive Forces

Cited by in corpus (61)

• A Materials Perspective on Casimir and van der Waals Interactions
• Measuring the Casimir force gradient from graphene on a SiO_2 substrate
• Retarded interactions in Graphene systems
• Thermal Casimir effect in the interaction of graphene with dielectrics and metals
• Many-body effects in van der Waals-Casimir interaction between graphene layers
• Van der Waals and Casimir interactions between two graphene sheets
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Enhanced Casimir effect for doped graphene
• Two approaches for describing the Casimir interaction with graphene: density-density correlation function versus polarization tensor
• Band gap in graphene induced by vacuum fluctuations
• Observability of thermal effects in the Casimir interaction from graphene-coated substrates
• Origin of large thermal effect in the Casimir interaction between two graphene sheets
• Quantum Field Theory in Graphene
• Temperature dependent graphene suspension due to thermal Casimir interaction
• Emending thermal dispersion interactions of Li, Na, K and Rb alkali metal-atoms with graphene in the Dirac model
• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Persistent current induced by vacuum fluctuations in a quantum ring
• Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets
• Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
• Interaction of a graphene sheet with a ferromagnetic metal plate
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Theory of reflectivity properties of graphene-coated material plates
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Comparison of hydrodynamic model of graphene with recent experiment on measuring the Casimir interaction
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Lattice-fermionic Casimir effect and topological insulators
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Repulsive van der Waals forces due to hydrogen exposure on bilayer Graphene
• Classical limit of the Casimir interaction for thin films with applications to graphene
• Reflectivity properties of graphene with nonzero mass-gap parameter
• Adsorption by design: tuning atom-graphene van der Waals interactions via mechanical strain
• Influence of electric current on the Casimir forces between graphene sheets
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
• Casimir effects in systems containing 2D layers, like graphene and 2D electron gases
• Van der Waals forces and electron-electron interactions in two strained graphene layers
• Core-level spectra from graphene
• Graphene through the looking glass of QFT
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• Casimir interaction of strained graphene
• Optical properties of dielectric plates coated with gapped graphene
• Quantum field theory of the Casimir force for graphene
• Anisotropy enhancement of the Casimir-Polder force between a nanoparticle and graphene
• Casimir interactions in strained graphene systems
• Graphene transparency in weak magnetic fields
• Layer Response Theory: Energetics of layered materials from semi-analytic high-level theory
• The Casimir effect in graphene systems: Experiment and theory
• Quantum friction between oscillating crystal slabs: Graphene monolayers on dielectric substrates
• On the convergence of the polarization tensor in space-time of three dimensions
• Stability of Suspended Graphene under Casimir Force
• The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
• Casimir effect for fermion condensate in conical rings
• Theory of the Casimir effect for graphene at finite temperature
• Casimir effects in graphene systems: unexpected power laws
• Non-analytic behavior of the Casimir force across a Lifshitz transition in a spin-orbit coupled material
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential
• Development of a high-sensitivity torsion balance to investigate the thermal Casimir force
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Quantum Atomic Matter Near Two-Dimensional Materials in Microgravity