Effective Hamiltonians for some highly frustrated magnets

Details Effective Hamiltonians for some highly frustrated magnets Effective Hamiltonians for some highly frustrated magnets

2006-08-04

arxiv.org/abs/cond-mat/0608131v1

J. Phys.: Condens. Matter 19 (2007) 145204

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 2 figures,. Conference proceedings for Highly Frustrated Magnetism 2006

Scientific paper

10.1088/0953-8984/19/14/145204

In 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

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