Universal Conductivity in the Two dimensional Boson Hubbard Model

Details Universal Conductivity in the Two dimensional Boson Hubbard Model Universal Conductivity in the Two dimensional Boson Hubbard Model

1993-02-25

arxiv.org/abs/cond-mat/9302037v1

Physics

Condensed Matter

20 pages, figures available upon request. Tex with jnl3.tex and reforder.tex macros. cond-mat/yymmnnn

Scientific paper

10.1103/PhysRevB.48.9628

We use Quantum Monte Carlo to evaluate the conductivity $\sigma$ of the 2--dimensional disordered boson Hubbard model at the superfluid-bose glass phase boundary. At the critical point for particle density $\rho=0.5$, we find $\sigma_{c}=(0.45 \pm 0.07) \sigma_{Q}$, where $\sigma_{Q}= e_{*}^{2} / h$ from a finite size scaling analysis of the superfluid density. We obtain $\sigma_{c}=(0.47 \pm 0.08) \sigma_{Q}$ from a direct calculation of the current--current correlation function. Simulations at the critical points for other particle densities, $\rho=0.75$ and $1.0$, give similar values for $\sigma$. We discuss possible origins of the difference in this value from that recently obtained by other numerical approaches.

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