Algebra solutions of antiferromagnet-antiferromagnet-ferromagnet quantum Heisenberg chains related to Sp(6,R) Lie algebra

DOI10.1007/S10773-011-0816-9zbMath1236.81133OpenAlexW2126569125WikidataQ115383764 ScholiaQ115383764MaRDI QIDQ763459

Bing-Hao Xie, Shuo Jin

Publication date: 9 March 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0816-9

zbMATH Keywords

vector coherent states\(su(1,2)\) algebraantiferromagnet-antiferromagnet-ferromagnetSp(6,R) Lie algebra

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coherent states (81R30) Statistical mechanics of magnetic materials (82D40)

Related Items (1)

Vector coherent states of \(\mathrm{Sp}(2n,\mathbb{R})\) Lie algebra for XYZ antiferromagnetic Heisenberg model

Cites Work

• Spin structure factors and valence-bond-solid states of the trimerized Heisenberg chains in a magnetic field
• A simple independent-particle system having collective properties
• Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)⊇U(3) basis
• Vector coherent state theory and its application to the orthogonal groups
• su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• Limits on the Energy of the Antiferromagnetic Ground State
• The Spin-Wave Theory of Antiferromagnetics

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