Slave anyons in the t-J model at the supersymmetric point
Authors:
Alberto Lerda and Stefano Sciuto
Affiliation:
a Institute for Theoretical Physics, SUNY at Stony Brook, Stony Brook, NY 11794, USA
b Dipartimento di Fisica Teorica, Universitá di Torino, and I.N.F.N. Sezione di Torino, Via P. Giuria 1, I-10125, Turin, Italy
Abstract:
We discuss the properties of the supersymmetric t-J model in the formalism of the slave operators. In particular we introduce a generalized abelian bosonization for the model in two dimensions, and show that holons and spinons can be anyons of arbitrary complementary statistics (slave-anyon representation). The braiding properties of these anyonic operators are thoroughly analyzed, and are used to provide an explicit linear realization of the superalgebra SU(1|2). Finally, we prove that the hamiltonian of the t-J model in the slave-anyon representation is invariant under SU(1|2) for J = 2t.