Signatures of the Quantum Geometric Dipole of Interlayer Excitons in Counterflow Conductivity

TL;DR

This paper demonstrates that counterflow conductivity can be used as a tunable probe to reveal the quantum geometric dipole structure of interlayer excitons in bilayer systems under magnetic fields.

Contribution

It introduces a Boltzmann transport model to connect exciton quantum geometry with measurable counterflow conductivity in a structured bilayer system.

Findings

QGD structure distinguishes magnetoexciton bands from uniform systems.

Counterflow conductivity responds to layer-symmetric and antisymmetric driving fields.

Probing QGD via transport links quantum geometry to experimental observables.

Abstract

Collective excitations of many-body electron systems can carry internal structure, supporting novel quantum geometric and topological properties. Among these are a quantum geometric dipole (QGD), which for excitons have direct significance as an internal polarization. For interlayer excitons of a bilayer system, this represents an in-plane dipole moment, which can be used to drive them with in-plane electric fields. In this work, we consider counterflow electric currents associated with driven excitons in such a bilayer system as a probe of their QGD structure. As a simple but non-trivial example, we analyze a structure with a one-dimensional periodic potential in a strong perpendicular magnetic field. The resulting magnetoexciton bands host QGD structure that distinguishes it from the exciton QGD of a uniform system. To model exciton transport we adopt a Boltzmann approach that includes inter-band tunneling, allowing us to consider non-equilibrium momentum distributions that result from strong layer-antisymmetric driving fields. We show how linear response to a layer-symmetric component of the driving fields provide information about the QGD, and that the broad QGD structure of the exciton bands can be probed by the varying the layer-antisymmetric field. Our results demonstrate that counterflow conductivity serves as a tunable probe of the internal quantum geometric structure carried by the interlayer excitons, connecting transport to the quantum geometry of many-body excitations.