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

Christophe Chatelain () and Dimitrios Voliotis

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 1, 1-12

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2015-60593-3

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