Electrically driven Rabi dynamics of magnetic-field-induced corner states in a two-dimensional topological insulator
Abstract
We study coherent electric manipulation of magnetic-field-induced localized states at a double kink of a helical edge in a HgTe/CdHgTe quantum well. An in-plane magnetic field opens a gap in the one-dimensional edge spectrum, while changes in the edge orientation generate localized in-gap states at the kinks. We show that, for suitable geometry and magnetic-field direction, two such states form an effective lithographically defined two-level subsystem. Using an edge-state model that includes both the localized levels and the fully propagating 1D edge states outside the magnetic-field-induced gap, we calculate the electric-dipole matrix elements and solve the time-dependent problem under resonant driving. The resulting dynamics exhibits Rabi oscillations with linear frequencies of $20−−40$~GHz for realistic parameters. We find that the propagating 1D edge states provide a leakage channel whose strength is strongly controlled by the driving amplitude: reducing the electric field suppresses leakage below the percent level while preserving GHz-scale coherent oscillations. These results establish a route from magnetic-field-induced corner-state physics to electrically driven two-level dynamics in a realistic two-dimensional topological-insulator edge geometry.
Versions
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BibTeX
@misc{khomitsky2026electrically,
title = {{Electrically driven Rabi dynamics of magnetic-field-induced corner states in a two-dimensional topological insulator}},
author = {D. V. Khomitsky and E. A. Lavrukhina and D. P. Krasavin and S. S. Krishtopenko and F. Teppe},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.28499},
eprint = {2605.28499},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.28499},
}
RIS
TY - UNPB
TI - Electrically driven Rabi dynamics of magnetic-field-induced corner states in a two-dimensional topological insulator
AU - D. V. Khomitsky
AU - E. A. Lavrukhina
AU - D. P. Krasavin
AU - S. S. Krishtopenko
AU - F. Teppe
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2605.28499
UR - https://arxiv.org/abs/2605.28499
AB - We study coherent electric manipulation of magnetic-field-induced localized states at a double kink of a helical edge in a HgTe/CdHgTe quantum well. An in-plane magnetic field opens a gap in the one-dimensional edge spectrum, while changes in the edge orientation generate localized in-gap states at the kinks. We show that, for suitable geometry and magnetic-field direction, two such states form an effective lithographically defined two-level subsystem. Using an edge-state model that includes both the localized levels and the fully propagating 1D edge states outside the magnetic-field-induced gap, we calculate the electric-dipole matrix elements and solve the time-dependent problem under resonant driving. The resulting dynamics exhibits Rabi oscillations with linear frequencies of $20−−40$~GHz for realistic parameters. We find that the propagating 1D edge states provide a leakage channel whose strength is strongly controlled by the driving amplitude: reducing the electric field suppresses leakage below the percent level while preserving GHz-scale coherent oscillations. These results establish a route from magnetic-field-induced corner-state physics to electrically driven two-level dynamics in a realistic two-dimensional topological-insulator edge geometry.
ER -