New Exactly Solvable Model of Strongly Correlated Electrons Motivated by High T_c Superconductivity

Essler, Fabian H. L.; Korepin, Vladimir E.; Schoutens, Kareljan

New Exactly Solvable Model of Strongly Correlated Electrons Motivated by High T_c Superconductivity

Authors

Essler, Fabian H. L.

Korepin, Vladimir E.

Schoutens, Kareljan

Description

We present a new model describing strongly correlated electrons on a general $d$-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the $t$-$J$ model as a special case. The model naturally describes local electron pairs, which can move coherently at arbitrary momentum. By using an $η$-pairing mechanism we can construct eigenstates of the hamiltonian with off-diagonal-long-range-order (ODLRO). These might help to relate the model to high-$T_c$ superconductivity. On a one-dimensional lattice, the model is exactly solvable by Bethe Ansatz.
10 pages, using latex, Phys.Rev.Lett. 68 (1992) 2960