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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Chatelain, C., Voliotis, D. Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain. Eur. Phys. J. B 89, 18 (2016). https://doi.org/10.1140/epjb/e2015-60593-3
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DOI: https://doi.org/10.1140/epjb/e2015-60593-3