Composite fermions traversing a potential barrier
L.Brey, C.Tejedor
TL;DR
This paper investigates how composite fermions move across a potential barrier between two 2D electron gases at filling factor 1/2, revealing conductance cutoff effects and conditions for incompressible liquid formation.
Contribution
It introduces a composite fermion approach to analyze lateral transport and conductance behavior across potential barriers in quantum Hall systems.
Findings
Conductance exhibits a cutoff depending on barrier thickness and height.
Incompressible liquid at ν=1/3 can form within the barrier region.
Composite fermions experience zero effective magnetic field outside the barrier.
Abstract
Using a composite fermion picture, we study the lateral transport between two two-dimensional electron gases, at filling factor 1/2, separated by a potential barrier. In the mean field approximation, composite fermions far from the barrier do not feel a magnetic field while in the barrier region the effective magnetic field is different from zero. This produces a cutoff in the conductance when represented as a function of the thickness and height of the barrier. There is a range of barrier heights for which an incompressible liquid, at , exists in the barrier region.
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