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TMF, 2025 Volume 222, Number 3, Pages 582–597 (Mi tmf10839)

First triplet four-electron state in the impurity Hubbard model. Three-dimensional case

R. T. Parmanovaab

a Institute of Nuclear Physics, Academy of Science of the Republic of Uzbekistan, Tashkent, Uzbekistan
b Institute of Fundamental and Applied Research, “TIIAME” National Research University, Tashkent, Uzbekistan

Abstract: We consider the energy operator of a four-electron system in the impurity Hubbard model and investigate the structure of essential spectra and the discrete spectrum of the system in the first triplet state on the three-dimensional lattice.

Keywords: Hubbard model, essential spectrum, discrete spectrum, four-electron systems, quintet state, triplet state, singlet state, spectra.

Received: 04.10.2024
Revised: 16.12.2024

DOI: 10.4213/tmf10839


 English version:
Theoretical and Mathematical Physics, 2025, 222:3, 497–510

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© Steklov Math. Inst. of RAS, 2026