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Charge Density Wave Behaviour of the Integer Quantum Hall Effect Edge States

M. Franco·L. Brey
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Abstract

We analyze the effect that the Coulomb interaction has on the edge excitations of an electron gas confined in a bar of thickness $W$, and in presence of a magnetic field corresponding to filling factor 1 Quantum Hall effect. We find that the long-range interaction between the edges leads the system to a ground state with a quasi-long range order, similar to a Charge Density Wave. The spectral density of states vanishes at zero frequency, and increases with frequency faster than any power law, being the conductance of a infinite long system zero.

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M. Franco, L. Brey. 1995-07-17. Charge Density Wave Behaviour of the Integer Quantum Hall Effect Edge States. https://doi.org/10.1103/physrevlett.77.1358

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