Anomalous quantized plateaus in two-dimensional electron gas with gate confinement

Abstract

Quantum information can be coded by the topologically protected edges of fractional quantum Hall (FQH) states. Investigation on FQH edges in the hope of searching and utilizing non-Abelian statistics has been a focused challenge for years. Manipulating the edges, e.g. to bring edges close to each other or to separate edges spatially, is a common and essential step for such studies. The FQH edge structures in a confined region are typically presupposed to be the same as that in the open region in analysis of experimental results, but whether they remain unchanged with extra confinement is obscure. In this work, we present a series of unexpected plateaus in a confined single-layer two-dimensional electron gas (2DEG), which are quantized at anomalous fractions such as 9/4, 17/11, 16/13 and the reported 3/2. We explain all the plateaus by assuming surprisingly larger filling factors in the confined region. Our findings enrich the understanding of edge states in the confined region and in the applications of gate manipulation, which is crucial for the experiments with quantum point contact and interferometer.

6 pages, 4 figures

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Fractional statistics in anyon collisions
• Quantized Transport in Graphene p-n Junctions in Magnetic Field
• Observation of neutral modes in the fractional quantum Hall regime
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• Magnetic field dependent equilibration of fractional quantum Hall edge modes
• Dynamic ordering transitions in charged solid
• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Spin-Selective Equilibration among Integer Quantum Hall Edge Channels
• Temperature dependent equilibration of spin orthogonal quantum Hall edge modes

Cited by in corpus (4)

• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Cascade of fractional quantum Hall states in 2D system
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1