Bose-glass to superfluid transition in the three-dimensional Bose-Hubbard model

Journal Article · Mon May 01 04:00:00 EDT 2006 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.73.1· OSTI ID:20788166

Hitchcock, Peter; Soerensen, Erik S ^[1]

---

1. Department of Physics and Astronomy, McMaster University, Hamilton, ON, Canada L8S 4M1 (Canada)

We 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 {nu}=0.70(12) for the correlation length exponent, satisfying the relation {nu}{>=}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.

• OSTI ID: 20788166
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 17 Vol. 73; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
BOSONS
COMPRESSIBILITY
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
CORRELATIONS
FLEXIBILITY
GLASS
HUBBARD MODEL
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
RENORMALIZATION
SUPERFLUIDITY
THREE-DIMENSIONAL CALCULATIONS