DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain

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dc.creatorPapenbrock, T.
dc.creatorBarnes, T.
dc.creatorDean, D. J.
dc.creatorStoitsov, M. V.
dc.creatorStrayer, M. R.
dc.date2002-12-11
dc.date.accessioned2026-07-07T02:48:39Z
dc.date.available2026-07-07T02:48:39Z
dc.descriptionWe investigate the critical behavior of the S=1/2 alternating Heisenberg chain using the density matrix renormalization group (DMRG). The ground-state energy per spin and singlet-triplet energy gap are determined for a range of alternations. Our results for the approach of the ground-state energy to the uniform chain limit are well described by a power law with exponent p=1.45. The singlet-triplet gap is also well described by a power law, with a critical exponent of p=0.73, half of the ground-state energy exponent. The renormalization group predictions of power laws with logarithmic corrections can also accurately describe our data provided that a surprisingly large scale parameter is present in the logarithm.
dc.description6 pages, 4 eps-figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0212254
dc.identifierhttp://arxiv.org/abs/cond-mat/0212254
dc.identifierPhys. Rev. B 68, 024416 (2003)
dc.identifierdoi:10.1103/PhysRevB.68.024416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20493
dc.subjectStatistical Mechanics
dc.titleDMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
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