Counterflow Current from Driven Magnetoexcitons in Structured Bilayers

Collective excitations of many-body electron systems can carry internal structure, supporting novel quantum geometric and topological properties. Among these are the interlayer exciton's quantum geometric dipole (QGD), which can be driven by a layer antisymmetric in-plane electric field. In this work, we consider the counterflow conductivity generated by such excitons in linear response to a symmetric electric field, in the presence of such an antisymmetric electric field. We consider a structure with a one-dimensional periodic potential, which generates a simple band structure for the excitons. We generate the nonequilibrium distribution for the excitons using the Boltzmann equation in the relaxation time approximation, taking into account interband Landau-Zener tunneling. The features of the band structure and QGD that can be gleaned from the counterflow conductivity will be discussed.