Charge degrees in the quarter-filled checkerboard lattice

Details Charge degrees in the quarter-filled checkerboard lattice Charge degrees in the quarter-filled checkerboard lattice

2006-09-06

arxiv.org/abs/cond-mat/0609122v2

Journal of Magnetism and Magnetic Materials, 310, 966-968 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

Proceedings of ICM2006

Scientific paper

10.1016/j.jmmm.2006.10.348

For a systematic study of charge degrees of freedom in lattices with geometric frustration, we consider spinless fermions on the checkerboard lattice with nearest-neighbor hopping $t$ and nearest-neighbor repulsion $V$ at quarter-filling. An effective Hamiltonian for the limit $|t|\ll V$ is given to lowest non-vanishing order by the ring exchange ($\sim t^{3}/V^{2}$). We show that the system can equivalently be described by hard-core bosons and map the model to a confining U(1) lattice gauge theory.

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