2006/08/04 by Doron L. Bergman, Ryuichi Shindou, Gregory A. Fiete +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1088/0953-8984/19/14/145204
published as J. Phys.: Condens. Matter 19 (2007) 145204 · 10 pages, 2 figures,. Conference proceedings for Highly Frustrated Magnetism 2006
arxiv created 2006/08/04 · openalex publication_date 2007/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
In previous work we developed a method using 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 −2 k )/ 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.