Physics – Condensed Matter
Scientific paper
1999-01-13
Physics
Condensed Matter
5 pages, Rev Tex, 6 figures, to appear in Phys. Rev. B
Scientific paper
We study the zero-temperature phase transitions of a two-dimensional disordered boson Hubbard model at incommensurate boson densities. Via matrix diagonalization and quantum Monte Carlo simulations, we construct the phase diagram and evaluate the correlation length exponent nu. In the presence of weak disorder, we obtain nu=0.5 +- 0.1, the same value as that in the pure model, near the tip of a Mott insulator lobe, using the dynamical critical exponent z=2. As the strength of disorder is increased beyond a certain value, however, the value of nu is found to change to 0.9 +- 0.1. This result strongly suggests that there exist direct Mott insulator-to-superfluid transitions around the tip of a Mott insulator lobe in the weak disorder regime.
Cha Min-Chul
Choi Min-Young
Kim Beom Jun
Kim Doochul
Lee Ji-Woo
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