Abstract
The phase diagram of the two-dimensional ANNNI model is investigated by the cluster variation method (CVM). We confirm the stability of the disordered phase down toT=0 and the absence of a Lifshitz point at finite temperature forK<1/2, whereK the ratio of the second to the first neighbor pair interactions. Two different modulation regimes for the correlation functions of the disordered phase are separated by a “disorder” line along which theq vector of the susceptibility maximum undergoes a lock-in transition. The study in reciprocal space of the stability of the disordered phase allows us to define a critical line in the phase diagram along which theq vector characterizing the instability is incommensurate. Finally, we show the existence of another Lifshitz point forK tending to infinity.
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Finel, A., de Fontaine, D. The two-dimensional ANNNI model in the CVM approximation. J Stat Phys 43, 645–661 (1986). https://doi.org/10.1007/BF01020657
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DOI: https://doi.org/10.1007/BF01020657