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Phys. Rev. Lett. 80, 2933–2936 (1998)

Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid

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B. Canals and C. Lacroix*
Laboratoire de Magnétisme Louis Néel, CNRS, B.P. 166, 38042 Grenoble Cedex 9, France

Received 12 December 1997; published in the issue dated 30 March 1998

The quantum pyrochlore antiferromagnet is studied by perturbative expansions and exact diagonalization of small clusters. We find that the ground state is a spin-liquid state: The spin-spin correlation functions decay exponentially with distance and the correlation length never exceeds the interatomic distance. The calculated magnetic neutron diffraction cross section is in very good agreement with experiments performed on Y(Sc)Mn2. The low energy excitations are singlet-singlet ones, with a finite spin gap.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.2933
DOI:
10.1103/PhysRevLett.80.2933
PACS:
75.10.Jm, 75.40.-s, 75.50.Ee

*Corresponding author. Electronic address: lacroix@polycnrs-gre.fr