Odd q-state clock spin-glass models in three dimensions, asymmetric phase diagrams, and multiple algebraically ordered phases
Name
PhysRevE.90.062112.pdf
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409.38 KB
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Adobe PDF
Checksum (MD5)
69ee02abc3b8607e43813ace58ae4f25
Author(s)
Ilker, Efe
Berker, A. Nihat
Date Issued
December 2014
Journal
Physical Review E
Publisher
American Physical Society
Citation
Ilker, Efe and A. Nihat Berker. "Odd q-state clock spin-glass models in three dimensions, asymmetric phase diagrams, and multiple algebraically ordered phases." Phys. Rev. E 90, 062112 (December 2014). © 2014 American Physical Society
Version
Final published version
Abstract
Distinctive orderings and phase diagram structures are found, from renormalization-group theory, for odd q-state clock spin-glass models in d = 3 dimensions. These models exhibit asymmetric phase diagrams, as is also the case for quantum Heisenberg spin-glass models. No finite-temperature spin-glass phase occurs. For all odd q ≥ 5, algebraically ordered antiferromagnetic phases occur. One such phase is dominant and occurs for all q ≥ 5. Other such phases occupy small low-temperature portions of the phase diagrams and occur for 5 ≤ q ≤ 15. All algebraically ordered phases have the same structure, determined by an attractive finite-temperature sink fixed point where a dominant and a subdominant pair states have the only nonzero Boltzmann weights. The phase transition critical exponents quickly saturate to the high q value.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.90.062112
