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Extended Bose-Hubbard model with incompressible states at fractional numbers

H. Heiselberg
2006 Physical Review A. Atomic, Molecular, and Optical Physics  

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2005 accepted arXiv:cond-mat/0510688v2 fatcat:tngjcjmqdzbenj6swfe4cxpvoe

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2005 pre-print
arXiv:cond-mat/0510688v1 fatcat:esfbgfiyovempbgw5wpcnqqlzy
The Bose-Hubbard model is extended to include nearest and far neighbor interactions and is related to the fractional quantum Hall effect (FQHE). Both models may be studied in optical lattices with quantum gases. The ground state is calculated for the extended Bose-Hubbard model with strong repulsive interactions (weak hopping). Incompressible Mott insulator states are found at rational filling fractions compatible with the principal and secondary FQHE filling fractions of the lowest Landau
more » ... s observed experimentally. It is discussed to which extent these states at fractional filling survive or undergoes a Mott insulator transition to a superfluid as hopping terms are included.
doi:10.1103/physreva.73.013628 fatcat:ndipj56t2nfafhtun5bsgufzam
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H. Heiselberg. "Extended Bose-Hubbard model with incompressible states at fractional numbers." Physical Review A. Atomic, Molecular, and Optical Physics 73.1 (2006)