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On Long-Range Order in Low-Dimensional Lattice-Gas Models of Nematic Liquid Crystals

N. Angelescu·S. Romano·V. A. Zagrebnov
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Abstract

The problem of the orientational ordering transition for lattice-gas models of liquid crystals is discussed in the low-dimensional case $d=1,2$. For isotropic short-range interactions, orientational long-range order at finite temperature is excluded for any packing of molecules on the lattice $Z^d$; on the other hand, for reflection-positive long-range isotropic interactions, we prove existence of an orientational ordering transition for high packing ($μ> μ_0$) and low temperatures ($β> β_c(μ)$).

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N. Angelescu, S. Romano, V. A. Zagrebnov. 1994-11-08. On Long-Range Order in Low-Dimensional Lattice-Gas Models of Nematic Liquid Crystals. https://doi.org/10.1016/0375-9601(95)00204-g

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