Effective Hamiltonians for some highly frustrated magnets
arXiv:cond-mat/0608131 · doi:10.1088/0953-8984/19/14/145204
Abstract
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 sites, at a fraction of the saturation magnetization, with . We present explicit effective Hamiltonians for the examples of the checkerboard, kagome, and pyrochlore lattices. The consequent ground states in these cases for are also discussed.
10 pages, 2 figures,. Conference proceedings for Highly Frustrated Magnetism 2006