Local quantum criticality in confined fermions on optical lattices

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dc.creatorRigol, M.
dc.creatorMuramatsu, A.
dc.creatorBatrouni, G. G.
dc.creatorScalettar, R. T.
dc.date2003-04-01
dc.date2003-09-25
dc.date.accessioned2026-07-25T22:35:27Z
dc.descriptionUsing 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.
dc.descriptionRevtex file, 4 pages, 5 figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0304028
dc.identifierhttp://arxiv.org/abs/cond-mat/0304028
dc.identifierPhys. Rev. Lett. 91, 130403 (2003)
dc.identifierdoi:10.1103/PhysRevLett.91.130403
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/90555
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleLocal quantum criticality in confined fermions on optical lattices
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