Pseudospin representation of the two-dimensional t-J model

Daisuke Yamamoto*, Susumu Kurihara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate the two-dimensional t-J model describing most of the physical properties of the copper-oxide materials. In this model, due to the single occupancy constraint, the electron operators no longer obey the fermionic anti-commutation relations. By introducing pseudospins associated with empty sites, we derive a representation of the t-J model that consists of spinless fermions and local spins. Within a mean-field approximation, we show that our representation of the t-J model corresponds to the antiferromagnetic Heisenberg model in an effective magnetic field induced by hole doping δ. We show that the staggered magnetization decreases with increasing hole doping δ and disappears at reasonable value of the critical doping δc, which is in good agreement with experiments and numerical calculations.

Original languageEnglish
Pages (from-to)1112-1113
Number of pages2
JournalPhysica B: Condensed Matter
Issue number5-9
Publication statusPublished - 2008 Apr 1


  • Antiferromagnetism
  • Pseudospin representation
  • t-J Model

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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