Aharonov-Bohm interference probing of chiral Andreev edge states via scanning gate microscopy
Abstract
We theoretically investigate the spatial response of chiral Andreev edge states at a quantum Hall-superconductor interface probed by scanning gate microscopy. Using the Bogoliubov-de Gennes formalism, we demonstrate that the localized potential of the scanning gate tip decouples the chiral Andreev edge states from the superconductor into independent electron and hole paths. In the ν=2 regime, this local separation forces the quasiparticles to accumulate a relative magnetic phase in the normal region, resulting in Aharonov-Bohm-type conductance oscillations that are captured by a geometric analytical model. At higher filling factors (e.g., ν=4), the tip progressively interacts with spatially distinct edge channels, dynamically altering the Andreev-induced mode mixing and modifying the transport resonances. Furthermore, we show that these highly localized interferometric signatures survive in the presence of disorder, even when conventional non-local transport oscillations are masked.
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BibTeX
@misc{maji2026aharonovbohm,
title = {{Aharonov-Bohm interference probing of chiral Andreev edge states via scanning gate microscopy}},
author = {S. Maji and M. P. Nowak},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27716},
eprint = {2609.27716},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27716},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Aharonov-Bohm interference probing of chiral Andreev edge states via scanning gate microscopy
AU - S. Maji
AU - M. P. Nowak
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27716
UR - https://arxiv.org/abs/2609.27716
AB - We theoretically investigate the spatial response of chiral Andreev edge states at a quantum Hall-superconductor interface probed by scanning gate microscopy. Using the Bogoliubov-de Gennes formalism, we demonstrate that the localized potential of the scanning gate tip decouples the chiral Andreev edge states from the superconductor into independent electron and hole paths. In the ν=2 regime, this local separation forces the quasiparticles to accumulate a relative magnetic phase in the normal region, resulting in Aharonov-Bohm-type conductance oscillations that are captured by a geometric analytical model. At higher filling factors (e.g., ν=4), the tip progressively interacts with spatially distinct edge channels, dynamically altering the Andreev-induced mode mixing and modifying the transport resonances. Furthermore, we show that these highly localized interferometric signatures survive in the presence of disorder, even when conventional non-local transport oscillations are masked.
ER -