|Transiciones de fase topológicas en cristales líquidos|
|Paredes R., Fariñas-Sanchez A.I. and Berche B.|
|Rev. Mex. Fis. 52(3) (2003) 181|
|ArXiv : cond-mat/0401457 [PDF]|
By means of Monte Carlo simulations, using finite size scaling and conformal transformations, evidences of a topological phase transition in liquid crystals in two dimensions are reported. A paramagnetic phase appears at high temperature whereas a quasi-long-range-order (QLRO) phase is founded at low temperatures. It is determined that the correlation function exponent, at very low temperatures, is linear with the temperature, a typical behavior of spin waves. This contradicts predictions that for systems with non-abelian group of global symmetry the spin waves are not relevant. Aditionally, the implications that would have the presence of impurities in this type of transitions is discussed.