Solution of the infinite range t-J model

Abstract

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.

15 pages, 2 figures

References in corpus (1)

• Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function

Cited by in corpus (1)

• spl(2,1) dynamical supersymmetry and suppression of ferromagnetism in flat band double-exchange models