Comparison of several tetrahedra-based lattices
Strongly Correlated Electrons
2009-11-07 v2
Abstract
A comparison of the quantum Heisenberg antiferromagnetic model (QHAM) on the pyrochlore lattice, the checkerboard lattice and the square lattice with crossing interactions is performed. The three lattices are constructed with the same tetrahedral unit cell and this property is used to describe the low energy spectrum by means of an effective hamiltonian restricted to the singlet sector. We analyze the structure of the effective hamiltonian and solve it within mean field approximation for the three lattices.
Keywords
Cite
@article{arxiv.cond-mat/0104331,
title = {Comparison of several tetrahedra-based lattices},
author = {Maged Elhajal and Benjamin Canals and Claudine Lacroix},
journal= {arXiv preprint arXiv:cond-mat/0104331},
year = {2009}
}
Comments
7 pages (latex), 2 figures. Submitted to Canadian Journal of Physics for the proceedings of the Highly Frustrated Magnetism 2000 Conference, Waterloo, Ontario, Canada, June 11-15, 2000