# Aharonov-Bohm interference of fractional quantum Hall edge modes

**Authors:** James Nakamura, Saeed Fallahi, Harshad Sahasrabudhe, Rajib Rahman,, Shuang Liang, Geoffrey C. Gardner, and Michael J. Manfra

arXiv: 1901.08452 · 2019-03-13

## TL;DR

This paper demonstrates coherent Aharonov-Bohm interference in a quantum Hall interferometer, revealing insights into edge mode behavior and paving the way for studying anyonic braiding statistics.

## Contribution

It introduces a novel heterostructure design that suppresses Coulomb effects, enabling clear observation of fractional quantum Hall edge mode interference.

## Key findings

- Coherent Aharonov-Bohm oscillations observed at fractional filling factors
- Energy scale for thermal damping measured as T_0=206mK at ν=1
- Independent determination of inner and outer edge mode velocities

## Abstract

We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are drastically suppressed. Coherency of edge mode interference is characterized by the energy scale for thermal damping, ${T_0=206}mK$ at $\nu=1$. Selective backscattering of edge modes originating in the ${N=0,1,2}$ Landau levels allows for independent determination of inner and outer edge mode velocities. Clear Aharonov-Bohm oscillations are observed at fractional filling factors $\nu=2/3$ and $\nu=1/3$. Our device architecture provides a platform for measurement of anyonic braiding statistics.

## Full text

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## Figures

6 figures with captions in the complete paper: https://tomesphere.com/paper/1901.08452/full.md

## References

52 references — full list in the complete paper: https://tomesphere.com/paper/1901.08452/full.md

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Source: https://tomesphere.com/paper/1901.08452