T-J model
Encyclopedia
The t-J model was first derived in 1977 from the Hubbard model
Hubbard model
The Hubbard model is an approximate model used, especially in solid state physics, to describe the transition between conducting and insulating systems...

 by Józef Spałek. The model describes strongly correlated electron systems. It is used to calculate high temperature superconductivity states in doped antiferromagnets.

The t-J Hamiltonian
Hamiltonian (quantum mechanics)
In quantum mechanics, the Hamiltonian H, also Ȟ or Ĥ, is the operator corresponding to the total energy of the system. Its spectrum is the set of possible outcomes when one measures the total energy of a system...

is:



where
  • - creation and annihilation operators,

  • - spin polarization,

  • - coupling constant ,

  • - coulomb repulsion, and

  • - spins on i and j nodes (sites).
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