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

Voigt, A.; Wenzel, W.; Richter, J.; Tomczak, P.

doi:10.1140/epjb/e2004-00098-8

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

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Voigt, A.
Process Systems Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
Otto-von-Guericke-Universität Magdeburg, External Organizations;

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Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-9E73-1

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.