Work

On the relation between fractional charge and statistics

Year: 2025

Type: article

Abstract: We revisit an argument, originally given by Kivelson and Roček, for why the existence of fractional charge necessarily implies fractional statistics. In doing so, we resolve a contradiction in the original argument, and in the case of a \nu = 1/m ν = 1 / m Laughlin holes, we also show that the standard relation between fractional charge and statistics is necessary by an argument based on a t’Hooft anomaly in a one-form global \mathcal{Z}_m 𝒵 m symmetry.

Source: SciPost Physics

DOI: 10.21468/scipostphys.18.6.197

Authors: Thors Hans Hansson, Rodrigo Arouca, Thomas Klein Kvorning

Institutions: Stockholm University, Uppsala University, KTH Royal Institute of Technology

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Wenner-Gren Stiftelserna, Knut och Alice Wallenbergs Stiftelse

Awards: G3507277745, G4887091935, G5437312352, G788393335