Strong-randomness infinite-coupling phase in a random quantum spin chain

Abstract

We study the ground-state phase diagram of the Ashkin-Teller random quantum spin chain by means of a generalization of the strong-disorder renormalization group. In addition to the conventional paramagnetic and ferromagnetic (Baxter) phases, we find a partially ordered phase characterized by strong randomness and infinite coupling between the colors. This unusual phase acts, at the same time, as a Griffiths phase for two distinct quantum phase transitions both of which are of infinite-randomness type. We also investigate the quantum multi-critical point that separates the two-phase and three-phase regions; and we discuss generalizations of our results to higher dimensions and other systems.

9 pages, 6 eps figures, final version as published

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• Strong-randomness phenomena in quantum Ashkin-Teller models
• Random free-fermion quantum spin chain with multi-spin interactions
• Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Numerical evidence of a super-universality of the 2D and 3D random quantum Potts models
• Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models
• Improved Matrix Product Operator Renormalization Group: application to the N-color random Ashkin-Teller chain
• Emerging critical behavior at a first-order phase transition rounded by disorder
• Large Disorder Renormalization Group Study of the Anderson Model of Localization
• Smeared phase transition in the dissipative random quantum Ashkin-Teller model