Zero-Magnetic Field Fractional Quantum States

TL;DR

This paper demonstrates the observation and manipulation of fractional quantum states without magnetic fields in a low-density electron system, revealing new states and potential for quantum technology applications.

Contribution

It introduces a novel method to observe fractional quantum states in zero magnetic field using a GaAs quantum wire with electron relaxation in the second dimension.

Findings

Observation of odd and even denominator fractions without magnetic field

Enhanced fractional states with increased confinement asymmetry

Induction of new even denominator fractions by in-plane magnetic field

Abstract

Since the discovery of the Fractional Quantum Hall Effect in 1982 there has been considerable theoretical discussion on the possibility of fractional quantization of conductance in the absence of Landau levels formed by a quantizing magnetic field. Although various situations have been theoretically envisaged, particularly lattice models in which band flattening resembles Landau levels, the predicted fractions have never been observed. In this Letter, we show that odd and even denominator fractions can be observed, and manipulated, in the absence of a quantizing magnetic field, when a low-density electron system in a GaAs based one-dimensional quantum wire is allowed to relax in the second dimension. It is suggested that such a relaxation results in formation of a zig-zag array of electrons with ring paths which establish a cyclic current and a resultant lowering of energy. The behavior has been observed for both symmetric and asymmetric confinement but increasing the asymmetry of the confinement potential, to result in a flattening of confinement, enhances the appearance of new fractional states. We find that an in-plane magnetic field induces new even denominator fractions possibly indicative of electron pairing. The new quantum states described here have implications both for the physics of low dimensional electron systems and also for quantum technologies. This work will enable further development of structures which are designed to electrostatically manipulate the electrons for the formation of particular configurations. In turn, this could result in a designer tailoring of fractional states to amplify particular properties of importance in future quantum computation.