Slave Anyons in the $t$-$J$ Model at the Supersymmetric Point

Details Slave Anyons in the $t$-$J$ Model at the Supersymmetric Point Slave Anyons in the $t$-$J$ Model at the Supersymmetric Point

1993-07-16

arxiv.org/abs/hep-th/9307109v1

Nucl.Phys.B410:577-616,1993

Physics

High Energy Physics

High Energy Physics - Theory

37 pp., TeX file (3 figures on request), DFTT 30/93 and ITP-SB-93-30

Scientific paper

10.1016/0550-3213(93)90530-3

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 $J=2\,t$.

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