Numerical study of the two-dimensional three-state chiral clock model by the density matrix renormalization group method

The phase transition of the two-dimensional, three-state chiral clock model is studied by using the density matrix renormalization group method and the finite-size renormalization group technique. The transition temperature and the critical exponent v of the correlation length are calculated for the transition from the commensurate to paramagnetic phases. It is found that v is anisotropic and that v for the correlation along the chiral axis decreases with increasing the chiral field Δ while the one perpendicular to the axis increases with Δ.