Ground state energy and mass gap of a generalized quantum spin ladder

M. T. Batchelor; M. Maslen

doi:10.1088/0305-4470/33/3/301

Ground state energy and mass gap of a generalized quantum spin ladder

M. T. Batchelor^*, M. Maslen

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

We show that a two-leg ladder Hamiltonian introduced recently by Albeverio and Fei can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the spin-1/2 antiferromagnetic X X Z chain at Δ = -5/3. The values of thermodynamic quantities such as the ground state energy and mass gap follow from the known X X Z results.

Original language	English
Pages (from-to)	443-448
Number of pages	6
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	3
DOIs	https://doi.org/10.1088/0305-4470/33/3/301
Publication status	Published - 28 Jan 2000

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title = "Ground state energy and mass gap of a generalized quantum spin ladder",

abstract = "We show that a two-leg ladder Hamiltonian introduced recently by Albeverio and Fei can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the spin-1/2 antiferromagnetic X X Z chain at Δ = -5/3. The values of thermodynamic quantities such as the ground state energy and mass gap follow from the known X X Z results.",

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AU - Maslen, M.

PY - 2000/1/28

Y1 - 2000/1/28

N2 - We show that a two-leg ladder Hamiltonian introduced recently by Albeverio and Fei can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the spin-1/2 antiferromagnetic X X Z chain at Δ = -5/3. The values of thermodynamic quantities such as the ground state energy and mass gap follow from the known X X Z results.

AB - We show that a two-leg ladder Hamiltonian introduced recently by Albeverio and Fei can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the spin-1/2 antiferromagnetic X X Z chain at Δ = -5/3. The values of thermodynamic quantities such as the ground state energy and mass gap follow from the known X X Z results.

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U2 - 10.1088/0305-4470/33/3/301

DO - 10.1088/0305-4470/33/3/301

M3 - Article

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VL - 33

SP - 443

EP - 448

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 3

ER -

Ground state energy and mass gap of a generalized quantum spin ladder

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