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Antiferromagnetic Quantum Spins on the Pyrochlore Lattice

2001/03/10 by Hirokazu Tsunetsugu · 9 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1143/jpsj.70.640

4 pages in 2-column format, 5 figures; To appear in J. Phys. Soc. Jpn. (Mar, 2001)

arxiv created 2001/03/10 · openalex publication_date 2001/03/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The ground state of the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model for the spin-singlet ground state multiplet by third-order perturbation. I determine its ground state using the mean-field approximation and found a dimerized state with a four-sublattice structure, which agrees with the proposal by Harris et al. I also discuss chirality correlations and spin correlations for this state.

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