Lei-Han Tang and Qing-Hu Chen J. Stat. Mech. (2008) P04003 doi:10.1088/1742-5468/2008/04/P04003
Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model
FREE ARTICLE Topical articles on Disorder, Fluctuations and UniversalityLei-Han Tang1 and Qing-Hu Chen2
Show affiliationsPart of Topical articles on Disorder, Fluctuations and Universality
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.
- Keywords
- PACS
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74.81.Fa Josephson junction arrays and wire networks
74.20.-z Theories and models of superconducting state
64.60.Ht Dynamic critical phenomena
71.30.+h Metal-insulator transitions and other electronic transitions
- MSC
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82C80 Numerical methods (Monte Carlo, series resummation, etc.)
82C26 Dynamic and nonequilibrium phase transitions (general)
- Subjects
- Dates
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Issue 04 (April 2008)
Received 13 December 2007, accepted for publication 14 March 2008
Published 4 April 2008
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Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model
Lei-Han Tang and Qing-Hu Chen J. Stat. Mech. (2008) P04003
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