Casimir effects in systems containing 2D layers, like graphene and 2D electron gases

Abstract

We present a variety of methods to derive the Casimir interaction in planar systems containing two-dimensional layers. Examples where this can be of use is graphene, graphene-like layers and two-dimensional electron gases. We present results for two free standing layers and for one layer above a substrate. The results can easily be extended to systems with a larger number of layers.

25 pages, 1 figure, 113 equations

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Cited by in corpus (12)

• A Materials Perspective on Casimir and van der Waals Interactions
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• How to observe the giant thermal effect in the Casimir force for graphene systems
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Casimir free energy of dielectric films: Classical limit, low-temperature behavior and control
• Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• Casimir effect for fermion condensate in conical rings
• Nanoscale Casimir Force Softening Originated from Quantum Surface Responses
• Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
• Atom chips with free-standing two-dimensional electron gases: advantages and challenges