Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-09-26
Physical Review Letters, 95, 180603 (2005)
Physics
Condensed Matter
Other Condensed Matter
Accepted for publication in PRL
Scientific paper
10.1103/PhysRevLett.95.180603
The scaling of the conductivity at the superfluid-insulator quantum phase transition in two dimensions is studied by numerical simulations of the Bose-Hubbard model. In contrast to previous studies, we focus on properties of this model in the experimentally relevant thermodynamic limit at finite temperature T. We find clear evidence for deviations from w_k-scaling of the conductivity towards w_k/T-scaling at low Matsubara frequencies w_k. By careful analytic continuation using Pade approximants we show that this behavior carries over to the real frequency axis where the conductivity scales with w/T at small frequencies and low temperatures. We estimate the universal dc conductivity to be 0.45(5)Q^2/h, distinct from previous estimates in the T=0, w/T >> 1 limit.
Smakov Jurij
Sorensen Erik
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