Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras

M. T. Batchelor; J. De Gier; J. Links; M. Maslen

doi:10.1088/0305-4470/33/12/101

Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras

M. T. Batchelor^*, J. De Gier, J. Links, M. Maslen

^*Corresponding author for this work

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

26 Citations (Scopus)

Abstract

We extend the results of spin ladder models associated with the Lie algebras su(2ⁿ) to the case of the orthogonal and symplectic algebras o(2ⁿ), sp(2ⁿ) where n is the number of legs for the system. Two classes of models are found whose symmetry, either orthogonal or symplectic, has an explicit n dependence. Integrability of these models is shown for an arbitrary coupling of X X-type rung interactions and applied magnetic field term.

Original language	English
Pages (from-to)	L97-L101
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	12
DOIs	https://doi.org/10.1088/0305-4470/33/12/101
Publication status	Published - 31 Mar 2000

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10.1088/0305-4470/33/12/101

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title = "Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras",

abstract = "We extend the results of spin ladder models associated with the Lie algebras su(2n) to the case of the orthogonal and symplectic algebras o(2n), sp(2n) where n is the number of legs for the system. Two classes of models are found whose symmetry, either orthogonal or symplectic, has an explicit n dependence. Integrability of these models is shown for an arbitrary coupling of X X-type rung interactions and applied magnetic field term.",

author = "Batchelor, {M. T.} and {De Gier}, J. and J. Links and M. Maslen",

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T1 - Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras

AU - Batchelor, M. T.

AU - De Gier, J.

AU - Links, J.

AU - Maslen, M.

PY - 2000/3/31

Y1 - 2000/3/31

N2 - We extend the results of spin ladder models associated with the Lie algebras su(2n) to the case of the orthogonal and symplectic algebras o(2n), sp(2n) where n is the number of legs for the system. Two classes of models are found whose symmetry, either orthogonal or symplectic, has an explicit n dependence. Integrability of these models is shown for an arbitrary coupling of X X-type rung interactions and applied magnetic field term.

AB - We extend the results of spin ladder models associated with the Lie algebras su(2n) to the case of the orthogonal and symplectic algebras o(2n), sp(2n) where n is the number of legs for the system. Two classes of models are found whose symmetry, either orthogonal or symplectic, has an explicit n dependence. Integrability of these models is shown for an arbitrary coupling of X X-type rung interactions and applied magnetic field term.

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U2 - 10.1088/0305-4470/33/12/101

DO - 10.1088/0305-4470/33/12/101

M3 - Article

SN - 0305-4470

VL - 33

SP - L97-L101

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 12

ER -

Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras

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