Spectra of the Energy Operator of Three-Electron Systems in the Impurity Hubbard Model.Second Doublet State
- Authors: Tashpulatov SM1
-
Affiliations:
- Institute of Nuclear Physics, Acad. Sci. of Uzbekistan
- Issue: Vol 65, No 1 (2019): Contemporary Problems in Mathematics and Physics
- Pages: 109-123
- Section: New Results
- URL: https://journals.rudn.ru/CMFD/article/view/22245
- DOI: https://doi.org/10.22363/2413-3639-2019-65-1-109-123
Cite item
Full Text
Abstract
We consider the three-electron systems in the impurity Hubbard model and investigated the spectra of the system in the second doublet state in the ν-dimensional lattice Zν .
About the authors
S M Tashpulatov
Institute of Nuclear Physics, Acad. Sci. of Uzbekistan
Email: sadullatashpulatov@yandex.ru
Tashkent, Uzbekistan
References
- Изюмов Ю. А., Скрябин Ю. Н. Статистическая механика магнитоупорядоченных систем. - М.: Наука, 1987.
- Карпенко Б. В., Дякин В. В., Будрина Г. Л. Два электрона в модели Хаббарда// Физ. метал. и металловед. - 1986. - 61, № 4. - С. 702-706.
- Ташпулатов С. М. О спектральных свойствах трехэлектронных систем в модели Хаббарда// Теор. мат. физ. - 2014. - 179, № 3. - С. 387-405.
- Anderson С. W. Localized magnetic states in metals// Phys. Rev. - 1961. - 124. - С. 41-53.
- Gutzwiller M. C. Effect of correlation on the ferromagnetism of transition metals// Phys. Rev. Lett. - 1963. - 10. - С. 159-162.
- Hubbard J. Electron correlations in narrow energy bands// Proc. R. Soc. London Ser. A Math. Phys. Eng. Sci. - 1963. - 276. - С. 238-257.
- Ichinose T. Spectral properties of tensor products of linear operators, 1// Trans. Am. Math. Soc. - 1978. - 235. - С. 75-113.
- Ichinose T. Spectral properties of tensor products of linear operators, 2: The approximate point spectrum and Kato essential spectrum// Trans. Am. Math. Soc. - 1978. - 237. - С. 223-254.
- Ichinose T. Tensor products of linear operators. Spectral theory// Banach Center Publ. - 1982. - 8.- С. 294-300.
- Kanamori J. Electron correlation and ferromagnetism of transition metals// Prog. Theor. Phys. - 1963. - 30. - С. 275-289.
- Lieb E. Two theorems on the Hubbard model// Phys. Rev. Lett. - 1989. - 62. - С. 1201-1204.
- Mattis D. The few-body problems on a lattice// Rev. Mod. Phys. - 1986. - 58. - С. 370-379.
- Shubin S. С., Wonsowsky S. V. On the electron theory of metals// Proc. R. Soc. London Ser. A Math. Phys. Eng. Sci. - 1934. - 145. - С. 159-180.
- Reed M., Simon B. Methods of modern mathematical physics. - New York: Acad. Press, 1978.
- Tsvelick A. M., Wiegman С. B. Exact results in the theory of magnetic alloys// Adv. Phys. - 1983. - 32. - С. 453-713.