Spin-s quantum chains and Temperley-Lieb algebras

M. T. Batchelor; M. N. Barber

doi:10.1088/0305-4470/23/1/004

Spin-s quantum chains and Temperley-Lieb algebras

M. T. Batchelor^*, M. N. Barber

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.

Original language	English
Article number	004
Pages (from-to)	L15-L21
Journal	Journal of Physics A: Mathematical and General
Volume	23
Issue number	1
DOIs	https://doi.org/10.1088/0305-4470/23/1/004
Publication status	Published - 1990

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title = "Spin-s quantum chains and Temperley-Lieb algebras",

abstract = "The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.",

author = "Batchelor, {M. T.} and Barber, {M. N.}",

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AU - Barber, M. N.

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N2 - The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.

AB - The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.

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U2 - 10.1088/0305-4470/23/1/004

DO - 10.1088/0305-4470/23/1/004

M3 - Article

AN - SCOPUS:0007753525

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ER -

Spin-s quantum chains and Temperley-Lieb algebras

Abstract

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