Local quantum criticality in confined fermions on optical lattices

M. Rigol, A. Muramatsu, G. G. Batrouni, R. T. Scalettar

Research output: Contribution to journalArticlepeer-review

155 Scopus citations


Using quantum Monte Carlo simulations, we show that the one-dimensional fermionic Hubbard model in a harmonic potential displays quantum critical behavior at the boundaries of a Mott-insulating region. A local compressibility defined to characterize the Mott-insulating phase has a nontrivial critical exponent. Both the local compressibility and the variance of the local density show universality with respect to the confining potential. We determine a generic phase diagram, which allows the prediction of the phases to be observed in experiments with ultracold fermionic atoms trapped on optical lattices.

Original languageEnglish (US)
JournalPhysical review letters
Issue number13
StatePublished - 2003

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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