2001/01/01 by Maged Elhajal, B. Canals, Benjamin Canals +2 · 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:10.1139/cjp-79-11-12-1353
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
openalex publication_date 2001/01/01 · arxiv created 2001/05/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A comparison of the quantum Heisenberg anti-ferromagnetic model 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 a mean-field approximation for the three lattices. PACS No.: 75.10Jm