Strong-Randomness Phenomena in Quantum Ashkin-Teller Models
The N-color quantum Ashkin-Teller spin chain is a prototypical model for the study of strong-randomness phenomena at first-order and continuous quantum phase transitions. In this paper, we first review the existing strong-disorder renormalization group approaches to the random quantum Ashkin-Teller chain in the weak-coupling as well as the strong-coupling regimes. We then introduce a novel general variable transformation that unifies the treatment of the strong-coupling regime. This allows us to determine the phase diagram for all color numbers N, and the critical behavior for all N ≠ 4. In the case of two colors, N = 2, a partially ordered product phase separates the paramagnetic and ferromagnetic phases in the strong-coupling regime. This phase is absent for all N > 2, i.e., there is a direct phase boundary between the paramagnetic and ferromagnetic phases. In agreement with the quantum version of the Aizenman-Wehr theorem, all phase transitions are continuous, even if their clean counterparts are of first order. We also discuss the various critical and multicritical points. They are all of infinite-randomness type, but depending on the coupling strength, they belong to different universality classes.
H. Barghathi et al., "Strong-Randomness Phenomena in Quantum Ashkin-Teller Models," Physica Scripta, vol. 2015, no. T165, Institute of Physics - IOP Publishing, Oct 2015.
The definitive version is available at https://doi.org/10.1088/0031-8949/2015/T165/014040
Center for High Performance Computing Research
Keywords and Phrases
Critical Behaviour; Disordered Systems; First-Order Phase Transition; Quantum Phase Transition
International Standard Serial Number (ISSN)
Article - Journal
© 2015 Institute of Physics - IOP Publishing, All rights reserved.
01 Oct 2015