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

Voigt, A., Wenzel, W., Richter, J., & Tomczak, P. (2004). The anisotropic quantum antiferromagnet on the Sierpinski gasket: ground state and thermodynamics. The European Physical Journal B, 38, 49-58. doi:10.1140/epjb/e2004-00098-8.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-9E73-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0019-7B2F-D
Genre: Journal Article

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 Creators:
Voigt, A.1, 2, Author              
Wenzel, W., Author
Richter, J., Author
Tomczak, P., Author
Affiliations:
1Process Systems Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738151              
2Otto-von-Guericke-Universität Magdeburg, External Organizations, ou_1738156              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
 Pages: -
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Title: The European Physical Journal B
Source Genre: Journal
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Pages: - Volume / Issue: 38 Sequence Number: - Start / End Page: 49 - 58 Identifier: -