Correlated Fermions on a Checkerboard Lattice

Details Correlated Fermions on a Checkerboard Lattice Correlated Fermions on a Checkerboard Lattice

2006-07-07

arxiv.org/abs/cond-mat/0607202v4

Phys. Rev. Lett. 97, 170407 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 Pages, 3 Figures; v4: updated version published in Phys. Rev. Lett.; one reference added

Scientific paper

10.1103/PhysRevLett.97.170407

A model of strongly correlated spinless fermions hopping 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 numerically evaluating the energies of the low-lying states. Furthermore, we analyze in detail the excitations at the Rokhsar-Kivelson point of this model thereby using the relation to the height model and the single-mode approximation.

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