L Chayes et al 1998 J. Phys. A: Math. Gen. 31 9055 doi:10.1088/0305-4470/31/45/005
Percolation and Gibbs states multiplicity for ferromagnetic Ashkin-Teller models on 
L Chayes, D McKellar and B Winn
Show affiliationsFor a region of the nearest-neighbour ferromagnetic Ashkin-Teller spin systems on 
, we characterize the existence of multiple Gibbs states via percolation. In particular, there are multiple Gibbs states if and only if there exists percolation of any of the spin types (i.e. the magnetized states are characterized by percolation of the dominant species). This result was previously known only for the Potts models on .
- PACS
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64.60.A- Specific approaches applied to studies of phase transitions
- MSC
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82B26 Phase transitions (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
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Condensed matter: electrical, magnetic and optical
- Dates
-
Issue 45 (13 November 1998)
Received 16 September 1997, in final form 13 August 1998
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Percolation and Gibbs states multiplicity for ferromagnetic Ashkin-Teller models on
L Chayes et al 1998 J. Phys. A: Math. Gen. 31 9055
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