Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2002-02-22
Phys. Rev. E 66, 011703 (2002)
Physics
Condensed Matter
Soft Condensed Matter
4 pages RevTeX, 4 figures included
Scientific paper
10.1103/PhysRevE.66.011703
It is shown that, for proper symmetry of the parent lattice, antiferromagnetic order can survive in two-dimensional liquid crystals and even isotropic liquids of point-like particles, in contradiction to what common sense might suggest. We discuss the requirements for antiferromagnetic order in the absence of translational and/or orientational lattice order. One example is the honeycomb lattice, which upon melting can form a liquid crystal with quasi-long-range orientational and antiferromagnetic order but short-range translational order. The critical properties of such systems are discussed. Finally, we draw conjectures for the three-dimensional case.
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