Solution of the infinite range t-J model

Details Solution of the infinite range t-J model Solution of the infinite range t-J model

1998-01-07

arxiv.org/abs/cond-mat/9801050v1

J. Phys. A: Math. Gen. 31 (1998) 4225-4237.

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 2 figures

Scientific paper

10.1088/0305-4470/31/18/012

The t-J model with constant t and J between any pair of sites is studied by exploiting the symmetry of the Hamiltonian with respect to site permutations. For a given number of electrons and a given total spin the exchange term simply yields an additive constant. Therefore the real problem is to diagonalize the "t- model", or equivalently the infinite U Hubbard Hamiltonian. Using extensively the properties of the permutation group, we are able to find explicitly both the energy eigenvalues and eigenstates, labeled according to spin quantum numbers and Young diagrams. As a corollary we also obtain the degenerate ground states of the finite $U$ Hubbard model with infinite range hopping -t>0.

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