High field fractional quantum Hall effect in optical lattices

Details High field fractional quantum Hall effect in optical lattices High field fractional quantum Hall effect in optical lattices

2006-04-26

arxiv.org/abs/cond-mat/0604600v1

Phys. Rev. Lett. 96, 180407 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, accepted by PRL

Scientific paper

10.1103/PhysRevLett.96.180407

We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic lengths, fractional fillings, and find unexpected sign changes in the Hall current. Finally we study methods for detecting these novel features via shot noise and Hall current measurements.

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