Chiral mixed phase in disordered 3d Heisenberg models under magnetic fields

Using Monte Carlo simulations, we studied the effect of uniform external longitudinal magnetic field on the 3d isotropic Heisenberg disordered model. Simulations are performed for a variety of fields. Our results confirm that the mixed chiral phase must belong to the same class of universality with those of zero fields and with same group of critical exponent. •Monte Carlo study of the effect of the magnetic field on the 3d disordered isotropic Heisenberg model.•The Binder cumulant is used to determine the critical temperature.•The finite size scaling theory is used to determine the critical exponents.•Other field values are also studied.•The mixed chiral phase is found, and belong to the same class of universality with those of zero fields and with the same group of critical exponents.