Pressure effect on Hg-12(n− 1)nsuperconductors and Casimir effect in nanometer scale

Abstract

A description is presented for the Tc pressure-dependent behaviour of Hg-12(n − 1)n superconductors that takes into account the Casimir effect by considering the CuO2 conducting layers to act as plasma sheets. The Casimir energy arises from the parallel plasma sheets (Cu–O planes) whenever these are separated by distances on the nanometer scale. The Tc pressure dependence in Hg-12(n − 1)n superconductors can be described by a pressure-induced charge transfer together with intrinsic terms that are associated with the Casimir energy. For Hg-12(n − 1)n samples with optimum oxygen content, the charge transfer term vanishes, leaving an explicit expression for the intrinsic term. By picking up realistic parameters and inserting them in the expression for the Tc pressure dependence, we have a good agreement with experimental intrinsic term data observed in the mercury family Hg-12(n − 1)n superconductors.

Gravitational Casimir Effect at Finite Temperature

“…The Casimir effect was confirmed experimentally first by Sparnaay [6] and subsequent experiments have established this effect to a high degree of accuracy [7,8]. Recently some practical applications of this effect have been found in micro-and nanotechnologies [5,9] involving superconductors at high temperature [10,11]. The finite temperature corrections to this effect are significant for plates separated by a distance of the order of micrometers [12].…”

“…and G 0 (x−x ′ ) is the massless scalar field propagator given in eq. (11). Then the vacuum expectation value of T µν (x) becomes…”

Casimir Effect at finite temperature for the CPT-even extension of QED

“…One practical implication of these achievements is the development of nanodispositives. [15][16][17].…”

Casimir effect at finite temperature for the Kalb-Ramond field

“…the role of the Casimir plates can be attributed to the nCuO 2 layers, which form a Cu-O nonsuperconducting charge carriers layers initially, and are able to form the superconductors layers below the critical temperature, T c [8][9][10].…”

“…One practical implication of these achievements is the development of nanodispositives. For instance, recently, it has appeared a possible implication of Casimir effect in high-T c superconductors: the role of the Casimir plates can be attributed to the nCuO 2 layers, which form a Cu-O nonsuperconducting charge carriers layers initially, and are able to form the superconductors layers below the critical temperature, T c [8][9][10].…”