dc.creatorGuimarães, P. R. C.
dc.creatorPlascak, J. A.
dc.creatorBonfim, O. F. de Alcantara
dc.creatorFlorencio, J.
dc.date2018-04-26T17:17:10Z
dc.date2018-04-26T17:17:10Z
dc.date2015-10-07
dc.date.accessioned2023-09-27T22:08:49Z
dc.date.available2023-09-27T22:08:49Z
dc.identifier24700053
dc.identifierhttps://doi.org/10.1103/PhysRevE.92.042115
dc.identifierhttp://www.locus.ufv.br/handle/123456789/19177
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8971313
dc.descriptionWe study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce results which are valid in the infinite-size limit. In general we find that the NNN coupling produces slower dynamics accompanied by an enhancement of the central mode behavior. Even in the case of a strong transverse field, if the NNN coupling is sufficiently large, then there is a crossover from collective mode to central mode behavior. We also obtain several recurrants for the continued fraction representation of the relaxation function.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherPhysical Review E
dc.relationv. 92, Iss. 4, p. 042115, October 2015
dc.rightsAmerican Physical Society
dc.subjectNext-nearest-neighbor
dc.subjectTransverse Ising model
dc.titleDynamics of the transverse Ising model with next-nearest-neighbor interactions
dc.typeArtigo


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