Metal-insulator transition in a two-dimensional system of chiral unitary class

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in two-dimensional system chiral symmetry class AIII by combining finite-size scaling, transport, density states, and multifractality studies. The results are agreement with the $\ensuremath{\sigma}$-model renormalization-group theory where MIT is driven proliferation vortices. determine phase diagram find an apparent nonuniversality several parameters on critical line MIT, which consistent analytically predicted slow renormalization towards ultimate fixed point MIT. localization-length exponent $\ensuremath{\nu}$ estimated as $\ensuremath{\nu}=1.55\ifmmode\pm\else\textpm\fi{}0.1$.