Statistics of Exotic Fractional Hall States

Informazioni relative al progetto

ANYONIC

ID dell’accordo di sovvenzione: 833078

DOI

10.3030/833078

Progetto chiuso

Data della firma CE 10 Aprile 2019

Data di avvio 1 Maggio 2019

Data di completamento 30 Aprile 2026

Finanziato da

• EXCELLENT SCIENCE - European Research Council (ERC)

Costo totale

€ 1 801 094,00

Contributo UE

€ 1 801 094,00

Coordinato da

WEIZMANN INSTITUTE OF SCIENCE
Israel

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

Periodo di rendicontazione: 2023-11-01 al 2025-04-30

Sintesi del contesto e degli obiettivi generali del progetto

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.

Lavoro eseguito dall’inizio del progetto fino alla fine del periodo coperto dalla relazione e principali risultati finora ottenuti

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).

Progressi oltre lo stato dell’arte e potenziale impatto previsto (incluso l’impatto socioeconomico e le implicazioni sociali più ampie del progetto fino ad ora)

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