Local quantum criticality in confined fermions on optical lattices

Preprint

25 September 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0304028

Abstract

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 non-trivial 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, that allows the prediction of the phases to be observed in experiments with ultracold fermionic atoms trapped on optical lattices.

Keywords

All Related Versions

Version 1, 2003-04-01, ArXiv
Version 2, 2003-09-25, ArXiv
Published version: Physical Review Letters, 91 (13), 130403.

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