## Abstract

A quasi two-dimensional periodic B-Si-B sandwich structure reveals surprising properties, including high-temperature superconductivity at 145 K^{0} [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 language | English |
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Title of host publication | Proceedings of the 11th International Conference on Computational Structures Technology, CST 2012 |

Publisher | Civil-Comp Press |

Volume | 99 |

ISBN (Print) | 9781905088546 |

Publication status | Published - 1 Jan 2012 |

Event | 11th International Conference on Computational Structures Technology, CST 2012 - Dubrovnik Duration: 4 Sep 2012 → 7 Sep 2012 |

### Conference

Conference | 11th International Conference on Computational Structures Technology, CST 2012 |
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Country | Croatia |

City | Dubrovnik |

Period | 4/09/12 → 7/09/12 |

## Scopus subject areas

- Environmental Engineering
- Civil and Structural Engineering
- Computational Theory and Mathematics
- Artificial Intelligence