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PreprintarXiv licencearXiv

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

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.

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BibTeX
@misc{mendez2026signatures,
  title = {{Signatures of the Quantum Geometric Dipole of Interlayer Excitons in Counterflow Conductivity}},
  author = {Fanuel I. Mendez and Luis Brey and H. A. Fertig},
  howpublished = {arXiv},
  year = {2026},
  month = may,
  doi = {10.48550/arxiv.2605.22810},
  eprint = {2605.22810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.22810},
}
RIS
TY  - UNPB
TI  - Signatures of the Quantum Geometric Dipole of Interlayer Excitons in Counterflow Conductivity
AU  - Fanuel I. Mendez
AU  - Luis Brey
AU  - H. A. Fertig
PY  - 2026
DA  - 2026/05/21
PB  - arXiv
DO  - 10.48550/arxiv.2605.22810
UR  - https://arxiv.org/abs/2605.22810
AB  - 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.
ER  -