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dc.contributor.authorAtalay, Bora
dc.contributor.authorBerker, A. Nihat
dc.date.accessioned2019-06-27T08:03:37Z
dc.date.available2019-06-27T08:03:37Z
dc.date.issued2018
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.urihttps://hdl.handle.net/20.500.12469/815
dc.description.abstractBy quenched-randomly mixing local units of different spatial dimensionalities we have studied Ising spin-glass systems on hierarchical lattices continuously in dimensionalities 1 <= d <= 3. The global phase diagram in temperature antiferromagnetic bond concentration and spatial dimensionality is calculated. We find that as dimension is lowered the spin-glass phase disappears to zero temperature at the lower-critical dimension d(c) = 2.431. Our system being a physically realizable system this sets an upper limit to the lower-critical dimension in general for the Ising spin-glass phase. As dimension is lowered towards d(c) the spin-glass critical temperature continuously goes to zero but the spin-glass chaos fully subsists to the brink of the disappearance of the spin-glass phase. The Lyapunov exponent measuring the strength of chaos is thus largely unaffected by the approach to d and shows a discontinuity to zero at d(c.)
dc.language.isoEnglish
dc.publisherAmer Physical Soc.
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleLower lower-critical spin-glass dimension from quenched mixed-spatial-dimensional spin glasses
dc.typeArticle
dc.identifier.issue4
dc.identifier.volume98
dc.identifier.wosWOS:000447305400002
dc.identifier.doi10.1103/PhysRevE.98.042125
dc.contributor.khasauthorBerker, A. Nihat


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