Odd q-State Clock Spin-Glass Models in Three Dimensions, Asymmetric Phase Diagrams, and Multiple Algebraically Ordered Phases

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 non-zero Boltzmann weights. The phase transition critical exponents quickly saturate to the high q value.

arXiv commentPublished version, 9 pages, 10 phase diagrams, 5 figures, 1 table

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