Abstract
The Ising model on a compressible triangular lattice with axial next-nearestneighbor interactions is studied in the mean-field approximation. A representative phase diagram is generated, which exhibits first- and second-order phase transitions to commensurate modulated phases. The crossover point from first to second order transitions is calculated. The stability of the modulated phases is calculated analytically in a low-temperature approximation. These results are very different from the ANNNI model, which exhibits a second-order transition to a continuum of commensurate and incommensurate phases.
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Sobkowicz, M., Chakraborty, B. Ising model with frustration, elasticity, and competing interactions. J Stat Phys 83, 739–749 (1996). https://doi.org/10.1007/BF02183746
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DOI: https://doi.org/10.1007/BF02183746