Fractional periodicity for multi anyons on a quasi one dimensional ring

Taeseung Choi, Chang‐Mo Ryu, Chul Koo Kim +1 more

Chihong Chou

Yan Li

Ilya V. Krive, Arkadii A. Krokhin

We study the persistent current in a quasi-one-dimensional ring with strongly correlated electrons forming a multichannel Wigner crystal (WC). The influence of the Coulomb interaction manifests itself only in the presence of external scatterers that pin the WC. Two regimes of weak and strong pinning are considered. For strong pinning we predict the Aharonov-Bohm oscillations with fractional period. Fractionalization is due to the interchannel coupling in the process of quantum tunneling of the WC. The fractional period depends on the filling of the channels and may serve as an indicator of non-Fermi-liquid behavior of interacting electrons in quasi-one-dimensional rings.

Garth A. Baker, Geoffrey Canright, S. B. Mulay +1 more

Taeseung Choi, Jungjai Lee, Chang‐Mo Ryu

We consider the external magnetic field effects on the two types of anyons with fractional statistical parameter p/q with coprimes p and q, one with a fractional charge e/q and the other with a fractional flux p ϕ0/q by exact ground state wave function. We also study the geometry in which a two-dimensional strip of anyons contains an island of anyons with different statistical parameters in their equilibrium. The equilibrium inside an island is shown to be periodic with respect to the magnetic flux through the island. The period for the fractional charge anyon equals to the integer multiple of the fundamental flux quantum. On the other hand, in the case of the fractional flux anyon, the period is found to be the fractional multiple of the fundamental flux quantum.