Absence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice

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dc.creatorRichter, J.
dc.creatorSchulenburg, J.
dc.creatorHonecker, A.
dc.creatorSchmalfuß, D.
dc.date2004-06-04
dc.date2004-12-21
dc.date.accessioned2026-07-07T02:58:29Z
dc.date.available2026-07-07T02:58:29Z
dc.descriptionWe study the ground-state properties of the spin-half Heisenberg antiferromagnet on the two-dimensional star lattice by spin-wave theory, exact diagonalization and a variational mean-field approach. We find evidence that the star lattice is (besides the \kagome lattice) a second candidate among the 11 uniform Archimedean lattices where quantum fluctuations in combination with frustration lead to a quantum paramagnetic ground state. Although the classical ground state of the Heisenberg antiferromagnet on the star exhibits a huge non-trivial degeneracy like on the \kagome lattice, its quantum ground state is most likely dimerized with a gap to all excitations. Finally, we find several candidates for plateaux in the magnetization curve as well as a macroscopic magnetization jump to saturation due to independent localized magnon states.
dc.descriptionnew extended version (6 pages, 6 figures) as published in Physical Review B
dc.identifierhttps://arxiv.org/abs/cond-mat/0406103
dc.identifierhttp://arxiv.org/abs/cond-mat/0406103
dc.identifierPhys. Rev. B 70, 174454 (2004)
dc.identifierdoi:10.1103/PhysRevB.70.174454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24110
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleAbsence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice
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