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Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice

dc.contributor.authorde la Cruz Díaz, Josué Domingo
dc.contributor.authorMurguía, José
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.date.accessioned2022-02-24T20:00:31Z
dc.date.available2022-02-24T20:00:31Z
dc.date.issued2021
dc.identifier.citationJ. de la Cruz, J.S. Murguía, H.C. Rosu, Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice, Materials Letters, Volume 293, 2021, 129659, https://doi.org/10.1016/j.matlet.2021.129659.
dc.identifier.urihttp://hdl.handle.net/11627/5730
dc.description.abstract"We use the Höder regularity analysis to study the symmetry breaking and recovery due to a parametric potential generated via the strictly isospectral factorization method. The initial potential is two-dimensional and periodic in the two Cartesian directions, with the symmetry group . The resulting parametric isospectral potential display a symmetry for values of the parameter moderately close to the singular value . However, at large values of the parameter, visually around , the original symmetry is recovered. For a much higher precision value of the parameter for this symmetry recovery, we show that the multifractal spectrum of the parametric potential can be conveniently used. In the latter case, we obtain for three decimal digits precision."
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMultifractal
dc.subjectHolder regularity
dc.subjectIsospectral
dc.subjectSymmetry
dc.subjectRiccati equation
dc.subject.classificationFÍSICA
dc.titleMultifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.matlet.2021.129659
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional