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

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 $J=2t$.

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

References in corpus (3)

• New Exactly Solvable Model of Strongly Correlated Electrons Motivated by High T_c Superconductivity
• Anyons and Quantum Groups
• Anyonic Realization of $S{U}_q(N)$ Quantum Algebra

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• Phase Structure of lattice SU(2)xU_S(1) three-dimensional Gauge Theory
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• Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
• A Field Theory Approach to the $t$-$J$ Model and the Spin-Charge Separation
• Exotic Particles and $w_{\infty }$-Algebras in Two- and High-Dimensional Spaces
• Introduction to abelian anyons in planar systems