## Abstract

The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling scheme. For weak quantum fluctuation, the system is found to be in a phase glass phase characterized by a finite compressibility and a finite value for the Edwards-Anderson order parameter, signifying long-range phase rigidity in both spatial and imaginary time directions. The scaling properties of the model near the transition to the gapped, Mott insulator state with vanishing compressibility are analyzed. At the quantum critical point, the dynamic exponent is greater than one. Correlation length exponents in the spatial and imaginary time directions are given by and , respectively; both assume values greater than 0.6723 of the pure case. We speculate that the phase glass phase is superconducting rather than metallic in the zero-current limit.

Original language | English |
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Article number | P04003 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2008 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Apr 2008 |

## Scopus Subject Areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty

## User-Defined Keywords

- Disordered systems (theory)
- Quantum Monte Carlo simulations
- Quantum phase transitions (theory)