Physics – Condensed Matter
Scientific paper
1993-11-17
Physics
Condensed Matter
10 pages, Latex, IPT-EPFL 31/10/1993
Scientific paper
10.1103/PhysRevB.49.15712
In this work, we have studied the invariants of motion of two SU(N) supersymmetric t-J model of $1/r^2$ hopping and exchange in one dimension. The first model is defined on a lattice of equal spaced sites, and the second on a non-equal spacing lattice. Using the ``exchange operator formalism'', we are able to construct all the invariants for the models, by mapping the systems to mixtures of fermions and bosons. This identification shows that the supersymmetric t-J model on the chain with equal-spaced sites also belongs to Shastry-Sutherland's ``Super-Lax-Pair'' family. (IPT-EPFL 31/10/1993).
Gruber Ch.
Wang Dong-Feng
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