Quantized charge fractionalization at quantum Hall Y junctions in the disorder dominated regime.

ABSTRACT: Fractionalization is a phenomenon where an elementary excitation partitions into several pieces. This picture explains non-trivial transport through a junction of one-dimensional edge channels defined by topologically distinct quantum Hall states, for example, a hole-conjugate state at Landau-level filling factor ? = 2/3. Here we employ a time-resolved scheme to identify an elementary fractionalization process; injection of charge q from a non-interaction region into an interacting and scattering region of one-dimensional channels results in the formation of a collective excitation with charge (1-r)q by reflecting fractionalized charge rq. The fractionalization factors, r?=?0.34?±?0.03 for ? = 2/3 and r?=?0.49?±?0.03 for ? = 2, are consistent with the quantized values of 1/3 and 1/2, respectively, which are expected in the disorder dominated regime. The scheme can be used for generating and transporting fractionalized charges with a well-defined time course along a well-defined path.

SUBMITTER: Lin C 

PROVIDER: S-EPMC7788083 | biostudies-literature | 2021 Jan

REPOSITORIES: biostudies-literature