Universal relation between the dispersion curve and the ground-state correlation length in 1D antiferromagnetic quantum spin systems

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dc.creatorOkunishi, K.
dc.creatorAkutsu, Y.
dc.creatorAkutsu, N.
dc.creatorYamamoto, T.
dc.date2001-07-02
dc.date.accessioned2026-07-07T06:33:37Z
dc.date.available2026-07-07T06:33:37Z
dc.descriptionWe discuss an universal relation $ε(iκ)=0$ with ${\rm Re} κ=1/ξ$ in 1D quantum spin systems with an excitation gap, where $ε(k)$ is the dispersion curve of the low-energy excitation and $ξ$ is the correlation length of the ground-state. We first discuss this relation for integrable models such as the Ising model in a transverse filed and the XYZ model. We secondly make a derivation of the relation for general cases, in connection with the equilibrium crystal shape in the corresponding 2D classical system. We finally verify the relation for the S=1 bilinear-biquadratic spin chain and $S=1/2$ zigzag spin ladder numerically.
dc.description6 pages, 2 figures, PRB accepted
dc.identifierhttps://arxiv.org/abs/cond-mat/0107021
dc.identifierhttp://arxiv.org/abs/cond-mat/0107021
dc.identifierPhys. Rev. B 64, 104432 (2001)
dc.identifierdoi:10.1103/PhysRevB.64.104432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99253
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleUniversal relation between the dispersion curve and the ground-state correlation length in 1D antiferromagnetic quantum spin systems
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