The dispersion function of a quasi – 2D periodic sandwich via Dirichlet-to-Neumann map.

N. Bagraev, G. Martin, B. Pavlov, A. Yafyasov, L. Goncharov, A. Zubkova

Research outputpeer-review

Abstract

Abstract A quasi two-dimensional periodic B-Si-B sandwich structure reveals surprising properties, including high-temperature superconductivity at 145 K0 [3]. This effect can be interpreted as superconductivity-gap (SC-gap) enhancing resulting from hybridisation of Bloch-functions of the weakly interacting Boron’s doped upper and low plates of the sandwich, resulting in the restructuring of systems of spectral band/gaps, similarly to [1]. In this paper we suggest a soft model of a two-dimensional periodic lattice and a quasi two-dimensional periodic sandwich and calculate the typical dispersion function of the objects based on a rational approximation of the corresponding Dirichlet-to-Neumann maps (DN-maps ). The rational approximations are interpreted as DN -maps of the corresponding fitted solvable models, which reveal some interesting physical properties such as Landau-Zener enhancing of the SC gap which may imply the high temperature superconductivity phenomenon.
Original languageEnglish
Title of host publicationPROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
DOIs
Publication statusPublished - 2012

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