4.7 Article

Theoretical investigation of four-body interaction in the one-dimensional extended Hubbard model

期刊

RESULTS IN PHYSICS
卷 34, 期 -, 页码 -

出版社

ELSEVIER
DOI: 10.1016/j.rinp.2022.105250

关键词

Extended Hubbard model; Four-body interaction; Phase diagram; Weak coupling

资金

  1. Natural Science Foundation of Xinjiang Uygur Autonomous Region of China [2020D01C042]
  2. National Natural Science Foundation of China [12064043, 11864039]

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In this study, we analytically investigate the phase diagram of a one-dimensional half-filled extended Hubbard model with nearest neighboring four-electron interaction in the weak-coupling regime. Our results show that the additional four-electron coupling splits independent Gaussian and spin-gap transitions and also leads to the charge-gap transition.
In the weak-coupling regime, we analytically investigate phase diagram of a one-dimensional half-filled extended Hubbard model with nearest neighboring four-electron interaction (Q), in addition to the usual two-electron couplings (U, V > 0). The additional four-electron coupling splits independent Gaussian and spin-gap transitions and also leads to the charge-gap transition. For the positive Q, the ground state exhibits three insulating phases, charge-density-wave (CDW), spin-density-wave (SDW) and bond-spin-density-wave (BSDW). For the negative Q, the phase diagram consists of five phases, which, besides the SDW and CDW phases, contain bond-charge-density-wave (BCDW), Luttinger liquid (LL) and Luther-Emery (LE) phases.

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