Evidence for a topological transition in nematic-to-isotropic phase transition in two dimensions

Details Evidence for a topological transition in nematic-to-isotropic phase transition in two dimensions Evidence for a topological transition in nematic-to-isotropic phase transition in two dimensions

2003-01-07

arxiv.org/abs/cond-mat/0301065v2

Phys. Lett. A 308 (2003) 461-466

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 eps figures. A few typos corrected

Scientific paper

10.1016/S0375-9601(03)00060-4

The nematic-to-isotropic orientational phase transition, or equivalently the $RP^2$ model, is considered in two dimensions and the question of the nature of the phase transition is addressed. Using powerful conformal techniques adapted to the investigation of critical properties of two-dimensional scale-invariant systems, we report strong evidences for a transition governed by topological defects analogous to the Berezinskii-Kosterlitz-Thouless transition in two-dimensional XY model.

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