Statistics of Exotic Fractional Hall States

Información del proyecto

ANYONIC

Identificador del acuerdo de subvención: 833078

DOI

10.3030/833078

Proyecto cerrado

Fecha de la firma de la CE 10 Abril 2019

Fecha de inicio 1 Mayo 2019

Fecha de finalización 30 Abril 2026

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 801 094,00

Aportación de la UE

€ 1 801 094,00

Coordinado por

WEIZMANN INSTITUTE OF SCIENCE
Israel

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

Período documentado: 2023-11-01 hasta 2025-04-30

Resumen del contexto y de los objetivos generales del proyecto

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.

Trabajo realizado desde el comienzo del proyecto hasta el final del período abarcado por el informe y los principales resultados hasta la fecha

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).

Avances que van más allá del estado de la técnica e impacto potencial esperado (incluida la repercusión socioeconómica y las implicaciones sociales más amplias del proyecto hasta la fecha)

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