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arXiv · 0807.3197

Quantum Inverse Scattering Method with anyonic grading

M T Batchelor·A Foerster·X-W Guan·J Links·H-Q Zhou
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Abstract

We formulate the Quantum Inverse Scattering Method for the case of anyonic grading. This provides a general framework for constructing integrable models describing interacting hard-core anyons. Through this method we reconstruct the known integrable model of hard core anyons associated with the XXX model, and as a new application we construct the anyonic $t-J$ model. The energy spectrum for each model is derived by means of a generalisation of the algebraic Bethe ansatz. The grading parameters implementing the anyonic signature give rise to sector-dependent phase factors in the Bethe ansatz equations.

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M T Batchelor, A Foerster, X-W Guan, J Links, H-Q Zhou. 2008-10-01. Quantum Inverse Scattering Method with anyonic grading. https://doi.org/10.1088/1751-8113/41/46/465201

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