The anisotropic quantum antiferromagnet on the Sierpinski gasket: Ground state and thermodynamics

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dc.creatorVoigt, Andreas
dc.creatorWenzel, Wolfgang
dc.creatorRichter, Johannes
dc.creatorTomczak, Piotr
dc.date2004-03-04
dc.date.accessioned2026-07-07T02:56:47Z
dc.date.available2026-07-07T02:56:47Z
dc.descriptionWe investigate an antiferromagnetic s=1/2 quantum spin system with anisotropic spin exchange on a fractal lattice, the Sierpinski gasket. We introduce a novel approximative numerical method, the configuration selective diagonalization (CSD) and apply this method to the Sierpinski gasket with N=42. Using this and other methods we calculate ground state energies, spin gap, spin-spin correlations and specific heat data and conclude that the s=1/2 quantum antiferromagnet on the Sierpinski gasket shows a disordered magnetic ground state with a very short correlation length of about 1 and an, albeit very small, spin gap. This conclusion holds for Heisenberg as well a for XY exchange.
dc.descriptionLaTeX: 16 pages, 9 figures, 1 table
dc.identifierhttps://arxiv.org/abs/cond-mat/0403147
dc.identifierhttp://arxiv.org/abs/cond-mat/0403147
dc.identifierEur. Phys. J. B 38, 49-58 (2004)
dc.identifierdoi:10.1140/epjb/e2004-00098-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23461
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleThe anisotropic quantum antiferromagnet on the Sierpinski gasket: Ground state and thermodynamics
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