Spectral properties of three-electron systems in the Hubbard model

被引：0
|
作者：
S. M. Tashpulatov
机构：
[1] Academy of Sciences of the Republic of Uzbekistan,Institute for Nuclear Physics
来源：
Theoretical and Mathematical Physics | 2014年 / 179卷
关键词：
Hubbard model; three-electron system; quartet state; triplet state; doublet state; singlet state; essential spectrum; discrete spectrum; three-electron bound state; discrete Schrödinger operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：712 / 728
页数：16
相关论文
共 50 条
  • [1] Spectral properties of three-electron systems in the Hubbard model
    Tashpulatov, S. M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2014, 179 (03) : 712 - 728
  • [2] Spectra of the Energy Operator of Three-Electron Systems in the Impurity Hubbard Model. Second Doublet State
    Tashpulatov S.M.
    Journal of Mathematical Sciences, 2022, 265 (1) : 103 - 116
  • [3] Triply excited three-electron systems - semiclassical model
    Grujic, PV
    EUROPEAN PHYSICAL JOURNAL D, 1999, 6 (04): : 441 - 450
  • [4] Superconductivity in the extended Hubbard chain with three-electron density interaction
    Chen, Weiting
    Zhang, Jun
    Ding, Hanqin
    RESULTS IN PHYSICS, 2022, 39
  • [5] Spectral properties of the three-dimensional Hubbard model
    Fuchs, Sebastian
    Gull, Emanuel
    Troyer, Matthias
    Jarrell, Mark
    Pruschke, Thomas
    PHYSICAL REVIEW B, 2011, 83 (23)
  • [6] Triply excited three-electron systems--semiclassical model
    P. V. Grujić
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2004, 28 : 301 - 302
  • [7] Triply excited three-electron systems--semiclassical model
    P.V. Grujić
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 1999, 6 : 441 - 450
  • [8] Hyperspherical approach to three-electron atomic systems
    Yang, XZ
    Bao, CG
    Lin, CD
    PHYSICAL REVIEW A, 1996, 53 (06): : 3934 - 3945
  • [9] Spectral properties of the Hubbard model
    Momoi, Tsutomu
    PHYSICA B-CONDENSED MATTER, 1995, 206 : 160 - 162
  • [10] Bound state spectra and properties of the doublet states in three-electron atomic systems
    Frolov, Alexei M.
    Ruiz, Maria Belen
    Wardlaw, David M.
    CHEMICAL PHYSICS LETTERS, 2014, 608 : 191 - 200
12345