Hindawi Advances in Condensed Matter Physics Volume 2018, Article ID 1380986, 12 pages https://doi.org/10.1155/2018/1380986 Research Article Superconducting Properties of 3D Low-Density Translation-Invariant Bipolaron Gas V. D. Lakhno Keldysh Institute of Applied Mathematics, RAS, Miusskaya Sq. 4, Moscow 125047, Russia Correspondence should be addressed to V. D. Lakhno;
[email protected] Received 12 December 2017; Accepted 28 January 2018; Published 15 April 2018 Academic Editor: Jorg¨ Fink Copyright © 2018 V.D. Lakhno. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Consideration is given to thermodynamical properties of a three-dimensional Bose-condensate of translation-invariant bipolarons (TI-bipolarons). Te critical temperature of transition, energy, heat capacity, and the transition heat of ideal TI-bipolaron gas are calculated. Te results obtained are used to explain experiments on high-temperature superconductors. 1. Introduction efect). In what follows such a bosonization of electrons pro- vides the basis for the description of their superconducting Te theory of superconductivity is one of the fnest and oldest condensate. subject matters of condensed matter physics which involves Te phenomenon of pairing, in a broad sense, is consid- both macroscopic and microscopic theories as well as deriva- ered as arising of bielectron states, while, in a narrow sense, if tion of macroscopic equations of the theory from microscopic the description is based on phonon mechanism, it is treated description [1]. In this sense the theory was thought to be as formation of bipolaron states [19].