title: Field induced positional shift of Bloch electrons and its dynamical implications.
abstract: We derive the field correction to the Berry curvature of Bloch electrons, which can be traced back to a positional shift due to the interband mixing induced by external electromagnetic fields. The resulting semiclassical dynamics is accurate to second order in the fields, in the same form as before, provided that the wave packet energy is derived up to the same order. As applications, we discuss the orbital magnetoelectric polarizability and predict nonlinear anomalous Hall effects.
authors.affiliation: Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA.
authors.forename: Yang
authors.initials: Y
authors.lastname: Gao
authors.affiliation: Engineering Product Development, Singapore University of Technology and Design, Singapore 138682, Singapore.
authors.forename: Shengyuan A
authors.initials: SA
authors.lastname: Yang
authors.affiliation: Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA and International Center for Quantum Materials and Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China.
authors.forename: Qian
authors.initials: Q
authors.lastname: Niu