Temperature correction to Casimir-Lifshitz free energy at low temperatures: Semiconductors

Ellingsen, Simen Å.; Brevik, Iver; Høye, Johan S.; Milton, Kimball A.

doi:10.1103/physreve.78.021117

Cited by 22 publications

(34 citation statements)

References 39 publications

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“…This conundrum has not yet been resolved, although there has been some progress in understanding what happens when the conductivity remains small but nonzero at zero temperature [38] -see also SimenÅdnøy Ellingsen's report in this meeting [39]. We should also mention our joint work on temperature effects and anomalies [40] which, while not addressing the semiconductor anomaly, attempts to survey the underpinnings of thermal effects in the Casimir effect.…”

Section: Anomaly For Semiconductorsmentioning

confidence: 99%

Recent developments in the Casimir effect

Milton

2009

J. Phys.: Conf. Ser.

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In this talk I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the Casimir force between real materials, be they metals or semiconductors. Consensus has emerged as to how Casimir energy accelerates in a weak gravitational field; quantum vacuum energy, including the divergent parts which renormalize the masses of the Casimir plates, accelerates indeed according to the equivalence principle. Significant development has been forthcoming in applying the multiple scattering formalism to describe the interaction between nontrivial objects. In weak coupling, closed-form expressions for the Casimir force between the bodies, which for example reveal significant discrepancies from the naive proximity force approximation, can be achieved in many cases.

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Section: Anomaly For Semiconductorsmentioning

confidence: 99%

Recent developments in the Casimir effect

Milton

2009

J. Phys.: Conf. Ser.

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“…Recently, these problems were discussed also in [33] but no solution was found. In [33] only "weakly conducting" materials were considered which possess nonzero conductivity at zero temperature.…”

Section: Phenomenological Approach and Its Justificationmentioning

confidence: 99%

“…In [33] only "weakly conducting" materials were considered which possess nonzero conductivity at zero temperature. These are in fact metallic-type semiconductors with a dopant concentration above critical.…”

Section: Phenomenological Approach and Its Justificationmentioning

confidence: 99%

Problems and paradoxes of the Lifshitz theory

Klimchitskaya

2009

J. Phys.: Conf. Ser.

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The problems and paradoxes of the Lifshitz theory in application to real dielectric and semiconductor materials are reviewed. It is shown that the inclusion of drift current of conduction electrons into the model of dielectric response results in contradictions with both thermodynamics and experimental data of different experimental groups. Physical reasons why the problems and paradoxes arise are analyzed and found to be connected with the violation of basic applicability condition of the Lifshitz theory, the thermal equilibrium. A recent alternative approach to the resolution of the problems based on the inclusion of screening effects and diffusion current is considered and demonstrated to be thermodynamically and experimentally inconsistent. It is argued that the inclusion of the diffusion current leads to an even deeper violation of thermal equilibrium. Phenomenologically, the Lifshitz theory with role of drift and diffusion currents neglected is shown to be free of problems and in agreement with both thermodynamics and all available experimental data.

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“…It may be noted that by generalizing the usual Lifshitz theory, it is possible to describe such materials which could not be described with the local dielectric response [14]. The Casimir-Lifshitz free energy, between two parallel plates made of dielectric material possessing a constant conductivity at low temperatures, has been studied; and the temperature correction for this system has also been analyzed [15]. Many properties of narrow heavy fermion bands can be described by a Zeemandriven Lifshitz transition [16].…”

Section: Introductionmentioning

confidence: 99%

Non-local deformation of a supersymmetric field theory

Zhao¹,

Faizal²,

Shah³

et al. 2017

Eur. Phys. J. C

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In this paper, we will analyze a supersymmetric field theory deformed by generalized uncertainty principle and Lifshitz scaling. It will be observed that this deformed supersymmetric field theory contains non-local fractional derivative terms. In order to construct such a deformed N = 1 supersymmetric theory, a harmonic extension of functions will be used. However, the supersymmetry will only be preserved for a free theory and will be broken by the inclusion of interaction terms.

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Temperature correction to Casimir-Lifshitz free energy at low temperatures: Semiconductors

Cited by 22 publications

References 39 publications

Recent developments in the Casimir effect

Recent developments in the Casimir effect

Problems and paradoxes of the Lifshitz theory

Non-local deformation of a supersymmetric field theory

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