Statistics of Exotic Fractional Hall States

Project Information

ANYONIC

Grant agreement ID: 833078

DOI

10.3030/833078

Project closed

EC signature date 10 April 2019

Start date 1 May 2019

End date 30 April 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 801 094,00

EU contribution

€ 1 801 094,00

Coordinated by

WEIZMANN INSTITUTE OF SCIENCE
Israel

Periodic Reporting for period 4 - ANYONIC (Statistics of Exotic Fractional Hall States)

Reporting period: 2023-11-01 to 2025-04-30

Summary of the context and overall objectives of the project

The project's aims are to study and identify the properties of exotic states in the quantum hall effect regime. These states generally support fractional charges with different quantum statistics than electrons and photons, called anyonic statistics. Simple conductance measurements fail to reveal this elusive statistics. Our work is based on measuring current fluctuations and heat transport in addition to the conductance measurements. We already verify the anyonic statistics of the most studied quantum state; however, in contradiction to the theoretical expectations. These properties were verified by two experimental methods.
Our plan is to continue and identify other anyonic states by employing novel technique.
Future quantum computations depends on the identification of these states and understanding their properties. Hence, this basic physics work is of extreme importance.

Work performed from the beginning of the project to the end of the period covered by the report and main results achieved so far

We identified and proved the topological order of the 5/2 state, which was under debate for q long time. One work dealt with using the noise generated by the Majorana qp's in the non-equilibrated regime (appeared in Science (early on-line publication). and the other work identified the properties of the 1/2 state - isolated from the 5/2 filling - agreeing with the particle-hole Pfaffian topological order (submitted to science, under review now).

Progress beyond the state of the art and expected potential impact (including the socio-economic impact and the wider societal implications of the project so far)

Identifying and studying new theoretically expected states to be topologically non-trivial. Realizing that the ubiquitous shot-noise measurements do not always provide the qp's charge. This is due to unavoidable neutral modes that add noise to the trivial shot noise. The latter was submitted to Nature Physics. All our methods of study are rather unique and beyond the state of the art.

the different orders possible for the 2/3 state