This article is cited in 12 papers

Spectral properties of three-electron systems in the Hubbard model

S. M. Tashpulatov

Institute for Nuclear Physics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan

Abstract: We investigate spectral properties of a three-electron system in the Hubbard model framework. We prove that the essential spectrum of the system in a quartet state consists of a single segment and the three-electron bound state is absent. We show that the essential spectrum of the system in doublet states is the union of at most three segments. We also prove that three-electron bound states exist in doublet states.

Keywords: Hubbard model, three-electron system, quartet state, triplet state, doublet state, singlet state, essential spectrum, discrete spectrum, three-electron bound state, discrete Schrödinger operator.

Received: 22.07.2013
Revised: 02.12.2013

DOI: 10.4213/tmf8577

 English version: Theoretical and Mathematical Physics, 2014, 179:3, 712–728

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