# Correlated fermions on a checkerboard lattice.

@article{Pollmann2006CorrelatedFO, title={Correlated fermions on a checkerboard lattice.}, author={F. Pollmann and Joseph J. Betouras and Kirill Shtengel and Peter Fulde}, journal={Physical review letters}, year={2006}, volume={97 17}, pages={ 170407 } }

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…

## 17 Citations

FRACTIONALLY CHARGED EXCITATIONS ON FRUSTRATED LATTICES

- Physics
- 2007

Systems of strongly correlated fermions on certain geometrically frustrated lattices at particular filling factors support excitations with fractional charges ±e/2. We calculate quantum mechanical…

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- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
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An electronic model on a checkerboard lattice, which can be viewed as a two-dimensional analog of the pyrochlore lattice is proposed, treated via a Bardeen-Cooper-Schrieffer (BCS) approximation, decoupling the interaction terms in real space.

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- 2012

We study a model for itinerant, strongly interacting fermions where a judicious tuning of the interactions leads to a supersymmetric Hamiltonian. On the triangular lattice this model is known to…

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- Physics
- 2008

We study the ground-state properties of the geometrically frustrated Hubbard model on the anisotropic checkerboard lattice with nearest-neighbor hopping $t$ and next-nearest-neighbor hopping…

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- Physics
- 2009

At commensurate electron fillings and in the presence of strong Coulomb repulsion, geometrical frustration can also manifests itself as an extensive degeneracy of the classical ground-state manifold providing profound similarities with the field of quantum frustrated magnetism.

Large-amplitude superexchange of high-spin fermions in optical lattices

- Physics
- 2013

We show that fermionic high-spin systems with spin-changing collisions allow one to monitor superexchange processes in optical superlattices with large amplitudes and strong spin fluctuations. By…

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- 2008

Abstract We consider universal statistical properties of systems that are characterized by phase states with macroscopic degeneracy of the ground state. A possible topological order in such systems…

High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets

- Physics
- 2007

The ground states of Klein type spin models on the pyrochlore and checkerboard lattice are spanned by the set of singlet dimer coverings, and thus possess an extensive ground--state degeneracy. Among…

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