TY - JOUR
T1 - Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model
AU - Tang, Lei Han
AU - Chen, Qing Hu
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/4/1
Y1 - 2008/4/1
N2 - 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.
AB - 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.
KW - Disordered systems (theory)
KW - Quantum Monte Carlo simulations
KW - Quantum phase transitions (theory)
UR - http://www.scopus.com/inward/record.url?scp=43049149055&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/2008/04/P04003
DO - 10.1088/1742-5468/2008/04/P04003
M3 - Journal article
AN - SCOPUS:43049149055
SN - 1742-5468
VL - 2008
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
IS - 4
M1 - P04003
ER -