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We study the Hall conductance of a Chern insulator after a global quench ofthe Hamiltonian. The Hall conductance in the long time limit is obtained byapplying the linear response theory to the diagonal ensemble. It is expressedas the integral of the Berry curvature weighted by the occupation number overthe Brillouin zone. We identify a topologically driven nonequilibrium phasetransition, which is indicated by the nonanalyticity of the Hall conductance asa function of the energy gap m_f in the post-quench Hamiltonian H_f. Thetopological invariant for the quenched state is the winding number of theGreen's function W, which equals the Chern number for the ground state of H_f.In the limit that m_f goes to zero, the derivative of the Hall conductance withrespect to m_f is proportional to ln(|m_f|), with the constant ofproportionality being the ratio of the change of W at m_f = 0 to the energy gapin the initial state. This nonanalytic behavior is universal in two-band Cherninsulators such as the Dirac model, the Haldane model, or the Kitaev honeycombmodel in the fermionic basis.

Universal nonanalytic behavior of the Hall conductance in a Chern insulator at the topologically driven nonequilibrium phase transition