Bose-glass to Superfluid transition in the three-dimensional Bose-Hubbard Model

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dc.creatorHitchcock, Peter
dc.creatorSorensen, Erik S.
dc.date2006-01-10
dc.date.accessioned2026-07-07T07:58:23Z
dc.date.available2026-07-07T07:58:23Z
dc.descriptionWe present a Monte Carlo study of the Bose-glass to superfluid transition in the three-dimensional Bose-Hubbard model. Simulations are performed on the classical (3 + 1) dimensional link-current representation using the geometrical worm algorithm. Finite-size scaling analysis (on lattices as large as 16x16x16x512 sites) of the superfluid stiffness and the compressibility is consistent with a value of the dynamical critical exponent z = 3, in agreement with existing scaling and renormalization group arguments that z = d. We find also a value of $ν= 0.70(12)$ for the correlation length exponent, satisfying the relation $ν>= 2/d$. However, a detailed study of the correlation functions, C(r, tau), at the quantum critical point are not consistent with this value of z. We speculate that this discrepancy could be due to the fact that the correlation functions have not reached their true asymptotic behavior because of the relatively small spatial extent of the lattices used in the present study.
dc.description9 pages, 8 figures, submitted to PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0601182
dc.identifierhttp://arxiv.org/abs/cond-mat/0601182
dc.identifierPhysical Review B 73, 174523 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.174523
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127990
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleBose-glass to Superfluid transition in the three-dimensional Bose-Hubbard Model
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