Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain

Abstract

The random quantum Ashkin-Teller chain is studied numerically by means of time-dependent Density-Matrix Renormalization Group. The critical lines are estimated as the location of the peaks of the integrated autocorrelation times, computed from spin-spin and polarization-polarization autocorrelation functions. Disorder fluctuations of magnetization and polarization are observed to be maximum on these critical lines. Entanglement entropy leads to the same phase diagram, though with larger Finite-Size effects. The decay of spin-spin and polarization-polarization autocorrelation functions provides numerical evidence of the existence of a double Griffiths phase when taking into account finite-size effects. The two associated dynamical exponents z increase rapidly as the critical lines are approached, in agreement with the recent conjecture of a divergence at the two transitions in the thermodynamic limit.

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Cited by in corpus (6)

• Strong Disorder RG approach - a short review of recent developments
• Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models
• Numerical evidence of a super-universality of the 2D and 3D random quantum Potts models
• Improved Matrix Product Operator Renormalization Group: application to the N-color random Ashkin-Teller chain
• Geometry of rare regions behind Griffiths singularities in random quantum magnets
• Smeared phase transition in the dissipative random quantum Ashkin-Teller model