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Phys. Rev. Lett. 87, 097203 (2001) [4 pages]

Magnetization Plateaus of SrCu2(BO3)2 from a Chern-Simons Theory

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G. Misguich1, Th. Jolicoeur2, and S. M. Girvin3,4
1Service de Physique Théorique, CE Saclay, 91191 Gif-sur-Yvette, France
2Département de Physique, LPMC-ENS, 24 rue Lhomond, 75005 Paris, France
3Department of Physics, Indiana University, Bloomington, Indiana 47405-7105
4Institute for Theoretical Physics, UCSB, Santa Barbara, California 93106-4030

Received 21 February 2001; published 13 August 2001

The antiferromagnetic Heisenberg model on the frustrated Shastry-Sutherland lattice is studied by a mapping onto spinless fermions carrying one quantum of statistical flux. Using a mean-field approximation these fermions populate the bands of a generalized Hofstadter problem. Their filling leads to the magnetization curve. For SrCu2(BO3)2 we reproduce plateaus at 1/3 and 1/4 of the saturation moment and predict a new one at 1/2. Gaussian fluctuations of the gauge field are shown to be massive at these plateau values.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.097203
DOI:
10.1103/PhysRevLett.87.097203
PACS:
75.10.Jm, 73.21.-b, 75.40.Cx, 75.50.Ee