Thermal quantum field theory and the Casimir interaction between dielectrics

Geyer, B.; Klimchitskaya, G. L.; Mostepanenko, V. M.

doi:10.1103/physrevd.72.085009

Cited by 131 publications

(178 citation statements)

References 84 publications

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“…This is a new result to our knowledge (a similar calculation for materials with zero conductivity was undertaken in Ref. [19]). While this calculation does not solve the thermal anomaly brought forth in Refs.…”

mentioning

confidence: 68%

“…While this calculation does not solve the thermal anomaly brought forth in Refs. [19,20,21] and reviewed in section I, it serves to further illuminate the mathematical behaviour of the free energy of poor conductors at very low temperatures when different models for the dielectric response of the materials are employed. A similar calculation is subsequently performed for the TE mode, which extends that of Ref.…”

mentioning

confidence: 99%

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

Ellingsen¹,

Brevik²,

Høye³

et al. 2008

Phys. Rev. E

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The Casimir force and free energy at low temperatures have been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material possessing a constant conductivity at low temperatures, described through a Drude-type dielectric function. For the transverse magnetic (TM) mode such a calculation is new. A further calculation for the case of the TE mode is thereafter presented which extends and generalizes previous work for metals. A numerical study is undertaken to verify the correctness of the analytic results. . The zero-temperature Casimir-Lifshitz theory seems to have been confirmed to 1% accuracy over a range from 100 nm to a micrometer [4,5,6,7,8,9,10,11,12].

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confidence: 68%

mentioning

confidence: 99%

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

Ellingsen¹,

Brevik²,

Høye³

et al. 2008

Phys. Rev. E

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“…Now we substitute (37) in (28) and perform integration with respect to y. It is easily seen [47] that the first, fourth and fifth terms on the right-hand side of (37) do not contribute up to the second order in τ t inclusive in the difference (32). Because of this, we focus our attention on the contributions of the second and third terms.…”

Section: Perfect Dielectricmentioning

confidence: 99%

Casimir free energy of dielectric films: classical limit, low-temperature behavior and control

Mostepanenko¹

2017

J. Phys.: Condens. Matter

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Abstract. The Casimir free energy of dielectric films, both free-standing in vacuum and deposited on metallic or dielectric plates, is investigated. It is shown that the values of the free energy depend considerably on whether the calculation approach used neglects or takes into account the dc conductivity of film material. We demonstrate that there are the material-dependent and universal classical limits in the former and latter cases, respectively. The analytic behavior of the Casimir free energy and entropy for a free-standing dielectric film at low temperature is found. According to our results, the Casimir entropy goes to zero when the temperature vanishes if the calculation approach with neglected dc conductivity of a film is employed. If the dc conductivity is taken into account, the Casimir entropy takes the positive value at zero temperature, depending on the parameters of a film, i.e., the Nernst heat theorem is violated. By considering the Casimir free energy of SiO 2 and Al 2 O 3 films deposited on a Au plate in the framework of two calculation approaches, we argue that physically correct values are obtained by disregarding the role of dc conductivity. A comparison with the well known results for the configuration of two parallel plates is made. Finally, we compute the Casimir free energy of SiO 2 , Al 2 O 3 and Ge films deposited on high-resistivity Si plates of different thicknesses and demonstrate that it can be positive, negative and equal to zero. The effect of illumination of a Si plate with laser light is considered. Possible applications of the obtained results to thin films used in microelectronics are discussed.

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“…Coincident with the experimental work, it was shown 33,34 that the account of relaxation properties for metals and free charge carriers for dielectrics leads to violation of the Nernst heat theorem (the third law of thermodynamics) in the Lifshitz theory. These results have led to a critical discussion (see, e.g., Refs.…”

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confidence: 99%

Casimir interaction at liquid nitrogen temperature: Comparison between experiment and theory

Castillo-Garza

Mostepanenko

et al. 2013

Phys. Rev. B

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We have measured the normalized gradient of the Casimir force between Au-coated surfaces of the sphere and the plate and equivalent Casimir pressure between two parallel Au plates at T = 77 K.These measurements have been performed by means of dynamic force microscope adapted for operating at low temperatures in the frequency shift technique. It was shown that the measurement results at T = 77 K are in a very good agreement with those at T = 300 K and with computations at T = 77 K using both theoretical approaches to the thermal Casimir force proposed in the literature.No thermal effect in the Casimir pressure was observed in the limit of experimental errors with the increase of temperature from T = 77 K to T = 300 K. Taking this into account, we have discussed the possible role of patch potentials in the comparison between measured and calculated Casimir pressures.

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Thermal quantum field theory and the Casimir interaction between dielectrics

Abstract: The Casimir and van der Waals interaction between two dissimilar thick dielectric plates is reconsidered on the basis of thermal quantum field theory in Matsubara formulation. We briefly review two main derivations of the Lifshitz formula in the framework of thermal quantum field

Cited by 131 publications

References 84 publications

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

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

Casimir free energy of dielectric films: classical limit, low-temperature behavior and control

Casimir interaction at liquid nitrogen temperature: Comparison between experiment and theory

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