Article,
Strongly correlated electrons: the t-J model
Physics-Uspekhi, 40 (5): 445--476 (1997)
Abstract
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.
