Effective Hamiltonians for some highly frustrated magnets

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 $0<k<q$. 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.
10 pages, 2 figures,. Conference proceedings for Highly Frustrated Magnetism 2006

Keywords

Strongly Correlated Electrons

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/126271

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0608131
 http://arxiv.org/abs/cond-mat/0608131
 J. Phys.: Condens. Matter 19 (2007) 145204
 doi:10.1088/0953-8984/19/14/145204

Collections

arXiv