Algebra Solutions of Antiferromagnet-Antiferromagnet-Ferromagnet Quantum Heisenberg Chains Related to Sp(6,R) Lie Algebra

Shuo Jin; Bing Hao Xie

doi:10.1007/s10773-011-0816-9

Algebra Solutions of Antiferromagnet-Antiferromagnet-Ferromagnet Quantum Heisenberg Chains Related to Sp(6,R) Lie Algebra

Shuo Jin^*
, Bing Hao Xie

^*Corresponding author for this work

School of Physics

Beijing Information Science & Technology University

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

2 Scopus citations

Abstract

Antiferromagnet-antiferromagnet-ferromagnet (AF-AF-F) quantum Heisenberg chains in linear spin-wave frame is shown explicitly to have an su(1,2) algebraic structure, and its algebra solutions related to the Sp(6,R) Lie algebra are derived by using an algebraic method. It is found that the energy spectrum of the system is determined by one-boson excitation energies built on a vector coherent state of Sp(6,R)⊃U(1,2).

Original language	English
Pages (from-to)	3141-3148
Number of pages	8
Journal	International Journal of Theoretical Physics
Volume	50
Issue number	10
DOIs	https://doi.org/10.1007/s10773-011-0816-9
State	Published - Oct 2011

Keywords

Antiferromagnet-antiferromagnet-ferromagnet
Sp(6,R) Lie algebra
su(1,2) algebra
Vector coherent states

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10.1007/s10773-011-0816-9

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title = "Algebra Solutions of Antiferromagnet-Antiferromagnet-Ferromagnet Quantum Heisenberg Chains Related to Sp(6,R) Lie Algebra",

abstract = "Antiferromagnet-antiferromagnet-ferromagnet (AF-AF-F) quantum Heisenberg chains in linear spin-wave frame is shown explicitly to have an su(1,2) algebraic structure, and its algebra solutions related to the Sp(6,R) Lie algebra are derived by using an algebraic method. It is found that the energy spectrum of the system is determined by one-boson excitation energies built on a vector coherent state of Sp(6,R)⊃U(1,2).",

keywords = "Antiferromagnet-antiferromagnet-ferromagnet, Sp(6,R) Lie algebra, su(1,2) algebra, Vector coherent states",

author = "Shuo Jin and Xie, \{Bing Hao\}",

year = "2011",

month = oct,

doi = "10.1007/s10773-011-0816-9",

language = "英语",

volume = "50",

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journal = "International Journal of Theoretical Physics",

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T1 - Algebra Solutions of Antiferromagnet-Antiferromagnet-Ferromagnet Quantum Heisenberg Chains Related to Sp(6,R) Lie Algebra

AU - Jin, Shuo

AU - Xie, Bing Hao

PY - 2011/10

Y1 - 2011/10

N2 - Antiferromagnet-antiferromagnet-ferromagnet (AF-AF-F) quantum Heisenberg chains in linear spin-wave frame is shown explicitly to have an su(1,2) algebraic structure, and its algebra solutions related to the Sp(6,R) Lie algebra are derived by using an algebraic method. It is found that the energy spectrum of the system is determined by one-boson excitation energies built on a vector coherent state of Sp(6,R)⊃U(1,2).

AB - Antiferromagnet-antiferromagnet-ferromagnet (AF-AF-F) quantum Heisenberg chains in linear spin-wave frame is shown explicitly to have an su(1,2) algebraic structure, and its algebra solutions related to the Sp(6,R) Lie algebra are derived by using an algebraic method. It is found that the energy spectrum of the system is determined by one-boson excitation energies built on a vector coherent state of Sp(6,R)⊃U(1,2).

KW - Antiferromagnet-antiferromagnet-ferromagnet

KW - Sp(6,R) Lie algebra

KW - su(1,2) algebra

KW - Vector coherent states

UR - https://www.scopus.com/pages/publications/80052266995

U2 - 10.1007/s10773-011-0816-9

DO - 10.1007/s10773-011-0816-9

M3 - 文章

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SN - 0020-7748

VL - 50

SP - 3141

EP - 3148

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 10

ER -

Algebra Solutions of Antiferromagnet-Antiferromagnet-Ferromagnet Quantum Heisenberg Chains Related to Sp(6,R) Lie Algebra

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Keywords

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