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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 1, Pages 129–141
DOI: https://doi.org/10.4213/tmf1143 (Mi tmf1143) 		 
This article is cited in 8 scientific papers (total in 8 papers)

To Bogolubov's method in superconductivity

E. R. Alaberdin, A. A. Vikhoreva, A. M. Savchenko, B. I. Sadovnikov

M. V. Lomonosov Moscow State University
Full-text PDF (248 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf1143
Abstract: The Frohlich Hamiltonian with electron-boson interaction of the fourth degree in fermion operators is studied. The Hamiltonian takes into account the exchange interaction of electron magnetic moments of conductivity. The boson spectrum consists of normal modes of connected phonon-magnon oscillations. The system of equations describing the compensation of “dangerous” diagrams that correspond to birth from vacuum two (bivertexes) and four (tetravetrexes) electron excitements is obtained by using Bogolubov's method. The modification of bivertex compensation equation stimulated by four-fermion interactions leads to the possibility of increasing the constant of the electron-boson connection and the energetic split. The numerical investigation of this system of equations is carried out. Considerable increasing of the energetic split in comparison with the Frohlich model is revealed.
Received: 19.07.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 1, Pages 523–532
DOI: https://doi.org/10.1007/BF02071459
Bibliographic databases:
Language: Russian
Citation: E. R. Alaberdin, A. A. Vikhoreva, A. M. Savchenko, B. I. Sadovnikov, “To Bogolubov's method in superconductivity”, TMF, 107:1 (1996), 129–141; Theoret. and Math. Phys., 107:1 (1996), 523–532
Citation in format AMSBIB
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\paper To Bogolubov's method in superconductivity
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\pages 129--141
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
\issue 1
\pages 523--532
\crossref{https://doi.org/10.1007/BF02071459}
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  • https://www.mathnet.ru/eng/tmf1143
  • https://doi.org/10.4213/tmf1143
  • https://www.mathnet.ru/eng/tmf/v107/i1/p129
    • This publication is cited in the following 8 articles:
    1. Uriel A Aceves Rodriguez, Filipe Guimarães, Sascha Brinker, Samir Lounis, “Magnetic exchange interactions at the proximity of a superconductor”, J. Phys.: Condens. Matter, 36:29 (2024), 295801  crossref
    2. Uriel Allan Aceves Rodriguez, Filipe Souza Mendes Guimarães, Samir Lounis, “Superconductivity in Nb: Impact of Temperature, Dimensionality and Cooper-Pairing”, Nanomaterials, 14:3 (2024), 254  crossref
    3. Bychkov M.E., Savchenko A.M., Sadovnikov B.I., “A study of the equation for an energy gap on the basis of the fluctuation theory of high-temperature superconductivity”, Mosc. Univ. Phys. Bull., 70:6 (2015), 484–489  crossref  mathscinet  isi  elib  scopus
    4. L. V. Zhukovskaya, A. M. Savchenko, M. B. Sadovnikova, “Low-Frequency Spin Oscillation Branch in a System with Exchange Interaction”, Theoret. and Math. Phys., 138:1 (2004), 118–122  mathnet  crossref  crossref  adsnasa  isi
    5. Savchenko A.M., Savchenko M.A., Kreopalov D.V., “Collective electron oscillations in ceramic systems”, Fifth Seminar on Problems of Theoretical and Applied Electron and Ion Optics, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5025, 2003, 172–175  adsnasa  isi
    6. Sadovnikova, MB, “Spin dynamics of collective electron interactions”, Physics Letters A, 274:5–6 (2000), 236  crossref  adsnasa  isi  scopus  scopus  scopus
    7. E. R. Alaberdin, A. A. Vikhoreva, A. M. Savchenko, M. B. Sadovnikova, “Use of the Bogoliubov method of compensating “dangerous” diagrams to investigate magnetic superconductors”, Theoret. and Math. Phys., 120:1 (1999), 933–951  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. Sadovnikov B.I., Savchenko A.M., “To the theory of collective electron excitations in spin systems”, Physica A, 271:3–4 (1999), 411–417  crossref  adsnasa  isi  scopus  scopus  scopus
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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