Scaling of excitations in dimerized and frustrated spin-1/2 chains

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dc.creatorControzzi, D.
dc.creatorBoschi, C. Degli Esposti
dc.creatorOrtolani, F.
dc.creatorPasini, S.
dc.date2005-03-22
dc.date2005-11-24
dc.date.accessioned2026-07-07T06:37:36Z
dc.date.available2026-07-07T06:37:36Z
dc.descriptionWe study the finite-size behavior of the low-lying excitations of spin-1/2 Heisenberg chains with dimerization and next-to-nearest neighbors interaction, J_2. The numerical analysis, performed using density-matrix renormalization group, confirms previous exact diagonalization results, and shows that, for different values of the dimerization parameter δ, the elementary triplet and singlet excitations present a clear scaling behavior in a wide range of \ell=L/ξ(where L is the length of the chain and ξis the correlation length). At J_2=J_2c, where no logarithmic corrections are present, we compare the numerical results with finite-size predictions for the sine-Gordon model obtained using Luscher's theory. For small δwe find a very good agreement for \ell > 4 or 7 depending on the excitation considered.
dc.description4 pages, 4 eps figures, RevTeX 4 class, same version as in PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0503539
dc.identifierhttp://arxiv.org/abs/cond-mat/0503539
dc.identifierPhys. Rev. B 72, 172409 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.172409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100449
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleScaling of excitations in dimerized and frustrated spin-1/2 chains
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