Odd q-state clock spin-glass models in three dimensions, asymmetric phase diagrams, and multiple algebraically ordered phases
Author(s)
Ilker, Efe; Berker, A. Nihat
DownloadPhysRevE.90.062112.pdf (409.3Kb)
PUBLISHER_POLICY
Publisher Policy
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Terms of use
Metadata
Show full item recordAbstract
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.
Date issued
2014-12Department
Massachusetts Institute of Technology. Department of PhysicsJournal
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
ISSN
1539-3755
1550-2376