Effective Hamiltonians for some highly frustrated magnets

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dc.creatorBergman, Doron L.
dc.creatorShindou, Ryuichi
dc.creatorFiete, Gregory A.
dc.creatorBalents, Leon
dc.date2006-08-04
dc.date.accessioned2026-07-07T07:53:34Z
dc.date.available2026-07-07T07:53:34Z
dc.descriptionIn prior work, the authors developed a method of degenerate perturbation theory about the Ising limit to derive an effective Hamiltonian describing quantum fluctuations in a half-polarized magnetization plateau on the pyrochlore lattice. Here, we extend this formulation to an arbitrary lattice of corner sharing simplexes of $q$ sites, at a fraction $(q-2k)/q$ of the saturation magnetization, with $0<k<q$. We present explicit effective Hamiltonians for the examples of the checkerboard, kagome, and pyrochlore lattices. The consequent ground states in these cases for $k=1$ are also discussed.
dc.description10 pages, 2 figures,. Conference proceedings for Highly Frustrated Magnetism 2006
dc.identifierhttps://arxiv.org/abs/cond-mat/0608131
dc.identifierhttp://arxiv.org/abs/cond-mat/0608131
dc.identifierJ. Phys.: Condens. Matter 19 (2007) 145204
dc.identifierdoi:10.1088/0953-8984/19/14/145204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126271
dc.subjectStrongly Correlated Electrons
dc.titleEffective Hamiltonians for some highly frustrated magnets
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