2,795 research outputs found
Bethe Ansatz and Thermodynamic Limit of Affine Quantum Group Invariant Extensions of the t-J Model
We have constructed a one dimensional exactly solvable model, which is based
on the t-J model of strongly correlated electrons, but which has additional
quantum group symmetry, ensuring the degeneration of states. We use Bethe
Ansatz technique to investigate this model. The thermodynamic limit of the
model is considered and equations for different density functions written down.
These equations demonstrate that the additional colour degrees of freedom of
the model behave as in a gauge theory, namely an arbitrary distribution of
colour indices over particles leave invariant the energy of the ground state
and the excitations. The -matrix of the model is shown to be the product of
the ordinary model -matrix and the unity matrix in the colour space.Comment: Latex, 17 page
Lattice electrons in constant magnetic field: Bethe like ansatz
We use the functional representation of Heisenberg-Weyl group and obtain
equation for the spectrum of the model, which is more complicated than Bethes
ones, but can be written explicitly through theta functions.Comment: 8 pages, LATE
A New Family of Integrable Extended Multi-band Hubbard Hamiltonians
We consider exactly solvable 1d multi-band fermionic Hamiltonians, which have
affine quantum group symmetry for all values of the deformation. The simplest
Hamiltonian is a multi-band t-J model with vanishing spin-spin interaction,
which is the affinization of an underlying XXZ model. We also find a multi-band
generalization of standard t-J model Hamiltonian.Comment: 8 pages, LaTeX file, no figure
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