Application of the Lifshitz theory to poor conductors

Abstract

The Lifshitz formula for the dispersive forces is generalized to the materials, which cannot be described with the local dielectric response. Principal nonlocality of poor conductors is related with the finite screening length of the penetrating field and the collisional relaxation; at low temperatures the role of collisions plays the Landau damping. The spatial dispersion makes the theory self consistent. Our predictions are compared with the recent experiment. It is demonstrated that at low temperatures the Casimir-Lifshitz entropy disappears as $T$ in the case of degenerate plasma and as $T^2$ for the nondegenerate one.

Accepted for publication in PRL

References in corpus (4)

• Control of the Casimir force by the modification of dielectric properties with light
• Demonstration of optically modulated dispersion forces
• Comment on "Effects of spatial dispersion on electromagnetic surface modes and on modes associated with a gap between two half spaces"
• Comment on ``Analytical and numerical verification of the Nernst heat theorem for metals''

Cited by in corpus (9)

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• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
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• High-accuracy Casimir-Polder force calculations using the Discontinuous Galerkin Time-Domain method
• Apparatus to probe the influence on the Casimir effect of the Mott-Anderson metal-insulator transition in doped semiconductors
• Non-Local Deformation of a Supersymmetric Field Theory
• Van der Waals forces and spatial dispersion
• How modes shape Casimir Physics