Devil's staircase continuum in the chiral clock spin glass with competing ferromagnetic-antiferromagnetic and left-right chiral interactions

Tolga Çağlar and A. Nihat Berker
Phys. Rev. E 95, 042125 – Published 17 April 2017
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Abstract

The chiral clock spin-glass model with q=5 states, with both competing ferromagnetic-antiferromagnetic and left-right chiral frustrations, is studied in d=3 spatial dimensions by renormalization-group theory. The global phase diagram is calculated in temperature, antiferromagnetic bond concentration p, random chirality strength, and right-chirality concentration c. The system has a ferromagnetic phase, a multitude of different chiral phases, a chiral spin-glass phase, and a critical (algebraically) ordered phase. The ferromagnetic and chiral phases accumulate at the disordered phase boundary and form a spectrum of devil's staircases, where different ordered phases characteristically intercede at all scales of phase-diagram space. Shallow and deep reentrances of the disordered phase, bordered by fragments of regular and temperature-inverted devil's staircases, are seen. The extremely rich phase diagrams are presented as continuously and qualitatively changing videos.

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  • Received 10 December 2016
  • Revised 10 February 2017

DOI:https://doi.org/10.1103/PhysRevE.95.042125

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
  1. Properties
Statistical Physics & Thermodynamics

Authors & Affiliations

Tolga Çağlar1 and A. Nihat Berker1,2,3

  • 1Faculty of Engineering and Natural Sciences, Sabancı University, Tuzla, Istanbul 34956, Turkey
  • 2Faculty of Engineering and Natural Sciences, Kadir Has University, Cibali, Istanbul 34083, Turkey
  • 3Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Issue

Vol. 95, Iss. 4 — April 2017

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