Mathematical foundations of the translation-invariant bipolaron theory of superconductivity
The monograph presents the theory of translation-invariant polarons and bipolarons based on the theory of squeezed vacuum wave functions. It is shown that the Tulub ansatz, which establishes a connection between the generalized Bogolyubov transformation with the unitary squeezed operator gives a solution to the spectral problem for a bipolaron. The solutions obtained are used to construct a theory of superconductivity based on the Froehlich Hamiltonian with a strong electron-phonon interaction. The role of Cooper pairs in it is played by TI bipolarons of spatially delocalized electrons with a small correlation length. The theory developed explains a large number of experiments on the thermodynamic, spectroscopic and transport characteristics of high-temperature superconductors, Josephson tunneling, angle-resolved photoemission spectroscopy, neutron scattering, etc. The book is intended for physicists and mathematicians who work in the field of the theory of condensed matter, as well as graduate students and senior students of universities.
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5. | Victor Lakhno. A translation invariant bipolaron in the Holstein model and superconductivity // SpringerPlus, 2016, т.5, с.1277 | |
6. | V.D. Lakhno. Cooper pairs and bipolarons // Mod. Phys. Lett. B, 2016, т.30, №31, с.1650365 | |
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8. | V. D. Lakhno. Superconducting Properties of 3D Low-Density Translation-Invariant Bipolaron Gas // Advances in Condensed Matter Physics V. 2018, Article ID 1380986, 12 p. https://doi.org/10.1155/2018/1380986ISSN: 1687-8108 (Print)ISSN: 1687-8124 (Online)Hindawi, 2018, с.21 | |
9. | V.D. Lakhno. Superconducting Properties of 3D Low-Density TI-Bipolaron Gas in Magnetic Field // Condens. Matter 4, 43 (2019). DOI: 10.3390/condmat4020043, 2019, с.21 | |
10. | Lakhno V.D. Superconducting properties of a nonideal bipolaron gas // Physica C: Superconductivity and its applications v. 561, p.1–8 (2019) DOI: 10.1016/j.physc.2018.10.009, 2019, с.21 | |
11. | Victor D. Lakhno. Translational-Invariant Bipolarons and Superconductivity // Condensed matter 5 (2), 30 (2020), 2020, с.21 | |
12. | Victor D. Lakhno. Isotope Effect in the Translation-Invariant Bipolaron Theory of High-Temperature Superconductivity // Condens. Matter 5, 80-7 (2020), 2020, с.21 | |
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14. | Victor D. Lakhno. Translational-invariant bipolarons and superconductivity // https://arxiv.org/abs/2002.06030, 2020, с.21 | |
15. | Victor D. Lakhno. Isotope effect in the translation-invariant bipolaron theory of high-temperature superconductivity // https://arxiv.org/abs/2006.01271, 2020, с.21 | |
16. | Victor Dmitrievich Lakhno. High-temperature superconductivity. Bipolaron mechanism // ISBN 978-3-11-078663-7 |