Phys. Rev. B 63, 144432 (2001) [5 pages]Frustrated Heisenberg antiferromagnet on the pyrochlore latticeReceived 3 October 2000; revised 17 January 2001; published 23 March 2001 We investigate quantum phase transitions for the s=1/2 antiferromagnetic Heisenberg model on the pyrochlore lattice. By means of the series expansion method starting from isolated tetrahedra, the ground-state phase diagram is determined. When the ratio of the two competing exchange couplings is varied, a first-order (second-order) quantum phase transition occurs between two spin gap phases (the spin-gap and the antiferromagnetic phases). We also discuss some properties expected for the s=1 pyrochlore spin system. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.63.144432
DOI:
10.1103/PhysRevB.63.144432
PACS:
75.10.Jm, 75.40.Cx
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