Nonequilibrium Casimir-Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap

Abstract

The Casimir-Polder force between spherical nanoparticles and a graphene-coated silica plate is investigated in situations out of thermal equilibrium, i.e., with broken time-reversal symmetry. The response of graphene coating to the electromagnetic field is described on the basis of first principles of quantum electrodynamics at nonzero temperature using the formalism of the polarization tensor in the framework of the Dirac model. The nonequilibrium Casimir-Polder force is calculated as a function of the mass-gap parameter, chemical potential of graphene and temperature of the graphene-coated plate, which can be both higher and lower than that of the environment. It is shown that the force value increases with increasing chemical potential, and this increase is more pronounced when the temperature of a graphene-coated plate is lower than that of the environment. The nonequilibrium force also increases with increasing temperature of the graphene-coated plate. This increase is larger when the plate is hotter than the environment. The effect is revealed that the combined impact of the chemical potential $\mu$ and mass gap $\Delta$ of graphene coating depends on the relationship between $\Delta$ and 2$\mu$. If $2\mu >\Delta$ the magnitude of the nonequilibrium force between nanoparticles and a cooled graphene-coated plate becomes much larger than for a graphene coating with $\mu =0$. The physical reasons explaining this effect are elucidated. Possible applications of the obtained results are discussed.

22 pages, 7 figures

References in corpus (24)

• The electronic properties of graphene
• Optical properties of graphene
• Space-time dispersion of graphene conductivity
• Measurement of the Temperature Dependence of the Casimir-Polder Force
• On the universal AC optical background in graphene
• Dynamical polarization, screening, and plasmons in gapped graphene
• New asymptotic behaviour of the surface-atom force out of thermal equilibrium
• Casimir-Lifshitz force out of thermal equilibrium
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Tuning quantum fluctuations with an external magnetic field: Casimir-Polder interaction between an atom and a graphene sheet
• Dynamical Polarizability of Graphene with Spatial Dispersion
• 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
• Temperature-invariant Casimir-Polder forces despite large thermal photon numbers
• Impact of graphene coating on the atom-plate interaction
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Harmonic oscillator model for the atom-surface Casimir-Polder interaction energy
• Long-range atom-surface interactions for cold atoms
• Anisotropy enhancement of the Casimir-Polder force between a nanoparticle and graphene
• Casimir-Polder Interaction of an Atom with a Cavity Wall Made of Phase-Change Material out of Thermal Equilibrium
• The low-temperature expansion of the Casimir-Polder free energy of an atom with graphene
• Nonperturbative theory of atom-surface interaction: Corrections at short separations
• The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves

Cited by in corpus (2)

• Nonequilibrium Casimir pressure for two graphene-coated plates: Quantum field theoretical approach
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium