Comparison of several tetrahedra-based lattices

Details Comparison of several tetrahedra-based lattices Comparison of several tetrahedra-based lattices

2001-04-18

arxiv.org/abs/cond-mat/0104331v2

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages (latex), 2 figures. Submitted to Canadian Journal of Physics for the proceedings of the Highly Frustrated Magnetism 20

Scientific paper

10.1139/cjp-79-11-12-1353

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.

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