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

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.

10 pages, latex, 3 figures available by FAX upon request from [email protected]

References in corpus (5)

• Transport in an inhomogeneous interacting one--dimensional system
• Wigner Crystal in One Dimension
• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Inter-Edge interaction in the Quantum Hall Effect
• Low-lying excitations of Quantum Hall Droplets

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• Plasmon Modes and Correlation Functions in Quantum Wires and Hall Bars
• Electronic Spectral Functions for Quantum Hall Edge States
• Threshold features in transport through a 1D constriction
• Spin-charge separation in Quantum Hall Liquids
• Anomalous Exponent of the Spin Correlation Function of a Quantum Hall Edge
• Resonant Raman scattering of quantum wire in strong magnetic field
• Anomalous tunneling conductances of a spin singlet ν=2/3 edge states: Interplay of Zeeman splitting and Long Range Coulomb Interaction
• Wigner Crystal State for the Edge Electrons in the Quantum Hall Effect at Filling $\nu =2$