Theory of the quantum Hall effect in a wide quantum well

Physics

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Scientific paper

In a mono-layer system a composite (c-) fermion with two flux quanta (fluxons) is known to be generated at the Landau level occupation number (filling factor) ν =1/2. In a bi-layer system two c-fermions are bound via the phonon exchange to form a pair (p) c-boson with parallel electron spins and the system of condensed pc-bosons generates a Quantum Hall Effect (QHE) state at ν =1/2. Similar pc-bosons are formed more efficiently at ν =1, and the QHE state developed is stronger. These QHE states become weaker at a tilted magnetic field since the pc-boson has a p-wave type charge distribution with the preferred axis along [001].

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