Transport theory for a generic two-arm co-propagating Majorana interferometer with Majorana fermion and edge vortex tunneling
Abstract
Co-propagating chiral Majorana edge modes are predicted to exist in proximity-coupled quantum anomalous Hall systems. They combine the exciting prospects of edge vortices as flying non-Abelian Ising anyons, with their fully electrical detection through anyon fusion processes. In this setup, electrical transport arises from the interference of a pair of Majorana edge states. By bosonizing the model with an additional replica sector, we generalize previous treatments to fully asymmetric configurations. We analyze a Mach-Zehnder interferometer and show that while the DC conductance does not exhibit signatures of edge-vortex interference, at low frequencies, this interference manifests as an effective capacitance. This quantity is sensitive to the non-Abelian anyon statistics of edge vortices and, in particular, carries signatures of their topological spin and nontrivial conformal dimension. We demonstrate that the thermal length lT = ℏ v/(πkB T) is the relevant scale at low temperatures T, analogous to quasiparticle transport in conventional quantum Hall edge states with velocity v. As long as the interferometer arm lengths match within this length scale, transport signatures of the non-Abelian statistics of edge vortices remain visible.
Related
- Shot noise signatures of Majorana-assisted transport in an Aharonov-Bohm interferometer
- DC Conductance of X-shaped Majorana Interferometer reveals Non-Abelian Anyon Statistics
- \textit{In situ} certification of multiparticle indistinguishability in a generic interferometer
- Revealing Detailed Transport Mechanisms in Silicon Tunneling Diodes
- Lateral motion of a spherical Mie particle driven by counter-propagating elliptically polarized Gaussian beams
BibTeX
@misc{giuliano2026transport,
title = {{Transport theory for a generic two-arm co-propagating Majorana interferometer with Majorana fermion and edge vortex tunneling}},
author = {Domenico Giuliano and Andrea Nava and Fabian Hassler and Reinhold Egger},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01402},
eprint = {2610.01402},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01402},
}
RIS
TY - UNPB
TI - Transport theory for a generic two-arm co-propagating Majorana interferometer with Majorana fermion and edge vortex tunneling
AU - Domenico Giuliano
AU - Andrea Nava
AU - Fabian Hassler
AU - Reinhold Egger
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01402
UR - https://arxiv.org/abs/2610.01402
AB - Co-propagating chiral Majorana edge modes are predicted to exist in proximity-coupled quantum anomalous Hall systems. They combine the exciting prospects of edge vortices as flying non-Abelian Ising anyons, with their fully electrical detection through anyon fusion processes. In this setup, electrical transport arises from the interference of a pair of Majorana edge states. By bosonizing the model with an additional replica sector, we generalize previous treatments to fully asymmetric configurations. We analyze a Mach-Zehnder interferometer and show that while the DC conductance does not exhibit signatures of edge-vortex interference, at low frequencies, this interference manifests as an effective capacitance. This quantity is sensitive to the non-Abelian anyon statistics of edge vortices and, in particular, carries signatures of their topological spin and nontrivial conformal dimension. We demonstrate that the thermal length l_T = ℏ v/(πk_B T) is the relevant scale at low temperatures T, analogous to quasiparticle transport in conventional quantum Hall edge states with velocity v. As long as the interferometer arm lengths match within this length scale, transport signatures of the non-Abelian statistics of edge vortices remain visible.
ER -