Statistics of Exotic Fractional Hall States

Informations projet

ANYONIC

N° de convention de subvention: 833078

DOI

10.3030/833078

Projet clôturé

Date de signature de la CE 10 Avril 2019

Date de début 1 Mai 2019

Date de fin 30 Avril 2026

Financé au titre de

• EXCELLENT SCIENCE - European Research Council (ERC)

Coût total

€ 1 801 094,00

Contribution de l’UE

€ 1 801 094,00

Coordonné par

WEIZMANN INSTITUTE OF SCIENCE
Israel

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

Période du rapport: 2023-11-01 au 2025-04-30

Résumé du contexte et des objectifs généraux du projet

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.

Travail effectué depuis le début du projet jusqu’à la fin de la période considérée dans le rapport et principaux résultats atteints jusqu’à présent

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).

Progrès au-delà de l’état des connaissances et impact potentiel prévu (y compris l’impact socio-économique et les conséquences sociétales plus larges du projet jusqu’à présent)

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