Chiral Potts spin glass in d=2 and 3 dimensions
Name
PhysRevE.94.032121.pdf
Size
1.98 MB
Format
Adobe PDF
Checksum (MD5)
73dfc11f723531630da258e996ce683d
Author(s)
Çağlar, Tolga
Berker, A Nihat
Date Issued
September 2016
Journal
Physical Review E
Publisher
American Physical Society
Citation
Çağlar, Tolga, and A. Nihat Berker. “Chiral Potts Spin Glass in D = 2 and 3 Dimensions.” Physical Review E 94.3 (2016): n. pag. © 2016 American Physical Society
Version
Final published version
Abstract
The chiral spin-glass Potts system with q=3 states is studied in d=2 and 3 spatial dimensions by renormalization-group theory and the global phase diagrams are calculated in temperature, chirality concentration p, and chirality-breaking concentration c, with determination of phase chaos and phase-boundary chaos. In d=3, the system has ferromagnetic, left-chiral, right-chiral, chiral spin-glass, and disordered phases. The phase boundaries to the ferromagnetic, left- and right-chiral phases show, differently, an unusual, fibrous patchwork (microreentrances) of all four (ferromagnetic, left-chiral, right-chiral, chiral spin-glass) ordered phases, especially in the multicritical region. The chaotic behavior of the interactions, under scale change, are determined in the chiral spin-glass phase and on the boundary between the chiral spin-glass and disordered phases, showing Lyapunov exponents in magnitudes reversed from the usual ferromagnetic-antiferromagnetic spin-glass systems. At low temperatures, the boundaries of the left- and right-chiral phases become thresholded in p and c. In d=2, the chiral spin-glass Potts system does not have a spin-glass phase, consistently with the lower-critical dimension of ferromagnetic-antiferromagnetic spin glasses. The left- and right-chirally ordered phases show reentrance in chirality concentration p.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.94.032121
