Abstract
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 we reproduce plateaus at and of the saturation moment and predict a new one at . Gaussian fluctuations of the gauge field are shown to be massive at these plateau values.
- Received 21 February 2001
DOI:https://doi.org/10.1103/PhysRevLett.87.097203
©2001 American Physical Society