Comment on ''Surface-impedance approach solves problems with the thermal Casimir force between real metals''

In a recent paper, Geyer, Klimchitskaya, and Mostepanenko [Phys. Rev. A 67, 062102 (2003); quant-ph/0306038] proposed the final solution of the problem of temperature correction to the Casimir force between real metals. The basic idea was that one cannot use the dielectric permittivity in the frequency region where a real current may arise leading to Joule heating of the metal. Instead, the surface impedance approach is proposed as a solution of all contradictions. The purpose of this comment is to show that (i) the main idea contradicts to the fluctuation dissipation theorem, (ii) the proposed method to calculate the force gives wrong value of the temperature correction since the contribution of low frequency fluctuations is calculated with the impedance which is not applicable at low frequencies. In the impedance approach the right result for the reflection coefficients in the n=0 term of the Lifshitz formula is given.Comment: 4 page

Graphene-on-silicon near-field thermophotovoltaic cell

A graphene layer on top of a dielectric can dramatically influence ability of the material to radiative heat transfer. This property of graphene is used to improve the performance and reduce costs of near-field thermophotovoltaic cells. Instead of low bandgap semiconductors it is proposed to use graphene-on-silicon Schottky photovoltaic cells. One layer of graphene absorbs around 90% of incoming radiation and increases the heat transfer. This is due to excitation of plasmons in graphene, which are automatically tuned in resonance with the emitted light in the mid infrared range. The absorbed radiation excites electron-hole pairs in graphene, which are separated by the surface field induced by the Schottky barrier. For a quasi-monochromatic source the generated power is one order of magnitude larger and efficiency is on the same level as for semiconductor photovoltaic cells.Comment: 6 pages, 3 figures, to be published in Phys. Rev. Applie

Casimir effects in graphene systems: unexpected power laws

We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given for undoped graphene and for a set of doping levels covering the range of experimentally accessible values. We describe different approaches that can be used to derive the interaction. We point out both the predicted power law for the interaction and the actual distance dependence.Comment: 10 pages,5 figures, conferenc

Nonlocal impedances and the Casimir entropy at low temperatures

The problem with the temperature dependence of the Casimir force is investigated. Specifically, the entropy behavior in the low temperature limit, which caused debates in the literature, is analyzed. It is stressed that the behavior of the relaxation frequency in the $T\to0$ limit does not play a physical role since the anomalous skin effect dominates in this range. In contrast with the previous works, where the approximate Leontovich impedance was used for analysis of nonlocal effects, we give description of the problem in terms of exact nonlocal impedances. It is found that the Casimir entropy is going to zero at $T\to0$ only in the case when $s$ polarization does not contribute to the classical part of the Casimir force. However, the entropy approaching zero from the negative side that, in our opinion, cannot be considered as thermodynamically satisfactory. The resolution of the negative entropy problem proposed in the literature is analyzed and it is shown that it cannot be considered as complete. The crisis with the thermal Casimir effect is stressed.Comment: Accepted in Phys. Rev.