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Phys. Rev. Lett. 97, 170407 (2006) [4 pages]

Correlated Fermions on a Checkerboard Lattice

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Frank Pollmann1, Joseph J. Betouras2,3, Kirill Shtengel4, and Peter Fulde1
1Max-Planck-Institute for the Physics of Complex Systems, D-01187 Dresden, Germany
2Instituut-Lorentz for Theoretical Physics, P.O. Box 9506, NL-2300RA Leiden, The Netherlands
3School of Physics and Astronomy, Scottish Universities Physics Alliance, University of St. Andrews, North Haugh KY16 9SS, United Kingdom
4Department of Physics and Astronomy, University of California, Riverside, California 92521, USA

Received 19 July 2006; published 26 October 2006

A model of strongly correlated spinless fermions on a checkerboard lattice is mapped onto a quantum fully packed loop model. We identify a large number of fluctuationless states specific to the fermionic case. We also show that for a class of fluctuating states the fermionic sign problem can be gauged away. This claim is supported by numerical evaluation of the low-lying states. Furthermore, we analyze excitations at the Rokhsar-Kivelson point of this model using the relation to the height model and the single-mode approximation.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.170407
DOI:
10.1103/PhysRevLett.97.170407
PACS:
05.30.−d, 05.50.+q, 71.27.+a
 
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