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ID: 207928.0, MPI für Dynamik komplexer technischer Systeme / Physical and Chemical Process Engineering
The anisotropic quantum antiferromagnet on the Sierpinski gasket : ground state and thermodynamics
Authors:Voigt, A.; Wenzel, W.; Richter, J.; Tomczak, P.
Language:English
Date of Publication (YYYY-MM-DD):2004
Title of Journal:The European Physical Journal B
Volume:38
Start Page:49
End Page:58
Review Status:not specified
Audience:Experts Only
Intended Educational Use:No
Abstract / Description:We 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 a 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 on the Sierpinski gasket shows a disordered magnetic ground state with a very short correlation length of xiapproximate to1 and an, albeit very small, spin gap. This conclusion holds for Heisenberg as well a for XY exchange.
External Publication Status:published
Document Type:Article
Communicated by:Kai Sundmacher
Affiliations:MPI für Dynamik komplexer technischer Systeme/Physical and Chemical Process Engineering
Identifiers:URL:http://194.199.164.7/articles/epjb/abs/2004/05/b03...
LOCALID:964 31/04
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