U_q[SU(2)]-Invariant Spin Chains, Related Algebras and Finite-Size Corrections
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概要
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Exact results are derived, via the Temperley-Lieb-Jones algebra, for the ground state energy per site, surface energy, gap and central charge of the anisotropic generalization of the spin-1 biquadratic model. A recently observed simplification in the ground state energy of the U_q[SU(2)]-invariant Zamolodchikov-Fateev model at q=e^<iπ/4> is shown to be a direct consequence of a trivial representation of the related operator algebra. Similar points are conjectured to exist in the more general U_q[SU(2)]-invariant spin-S chains at q=e^<iπ/(2+2s)>.
- 理論物理学刊行会の論文
- 1991-03-29
著者
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Batchelor Murray
Department Of Applied Mathematics : Department Of Theoretical Physics Research School Of Physical Sc
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BATCHELOR Murray
Department of Applied Mathematics : Department of Theoretical Physics, Research School of Physical Sciences Australian National University
関連論文
- Exactly solved lattice models and the statistical physics of polymer chains (第1回東和大学国際研究会「統計物理学:理論,実験,計算機シミュレ-ション」) -- (Complex Fluids)
- U_q[SU(2)]-Invariant Spin Chains, Related Algebras and Finite-Size Corrections