The ground state of the quantum rotor model in two dimensions with randomphase frustration is investigated. Extensive Monte Carlo simulations areperformed on the corresponding (2+1)-dimensional classical model under theentropic sampling scheme. For weak quantum fluctuation, the system is found tobe in a phase glass phase characterized by a finite compressibility and afinite value for the Edwards-Anderson order parameter, signifying long-rangedphase rigidity in both spatial and imaginary time directions. Scalingproperties of the model near the transition to the gapped, Mott insulator statewith vanishing compressibility are analyzed. At the quantum critical point, thedynamic exponent $z_{\rm dyn}\simeq 1.17$ is greater than one. Correlationlength exponents in the spatial and imaginary time directions are given by$\nu\simeq 0.73$ and $\nu_z\simeq 0.85$, respectively, both assume valuesgreater than 0.6723 of the pure case. We speculate that the phase glass phaseis superconducting rather than metallic in the zero current limit.
展开▼
