A systematic study is made of the t-J model as a working model for copper oxide high-T_c superconductors. The main focus is on the near-half- filling region (low hole concentrations) relevant to these materials. The theory of the magnetic polaron, which is a charge carrier traveling in an antiferromagnetic matrix, and the theory of antiferromagnetic ordering are discussed in a unified framework. The spin liquid state beyond the antiferromagnetic phase is examined. The Hamiltonian parameters — hole concentration phase diagram for the model is described and compared with that for the Hubbard model in the strong correlation limit. Two extensions of the t-J model, the t-t’-J model and the three-center interaction model, are discussed. Mostly analityc strong correlation techniques are employed in this review.

PACS: 71.27.+a, 74.90.+n, 75.10.Lp (all) DOI: 10.1070/PU1997v040n05ABEH000234 URL: https://ufn.ru/en/articles/1997/5/a/ A1997XJ11200001 Citation: Izyumov Yu A "Strongly correlated electrons: the t-J model" Phys. Usp. 40 445–476 (1997) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Оригинал: Изюмов Ю А «Сильно коррелированные электроны: t – J-модель» УФН 167 465–497 (1997); DOI: 10.3367/UFNr.0167.199705a.0465