Collective Modes and Electronic Spectral Function in Smooth Edges of Quantum Hall Systems

Abstract

We present a microscopic theory of the collective modes of a ``smooth'' edge of a quantum Hall system, showing under what conditions these modes can be described as a set of independent bosons. We then calculate the electronic spectral function in an independent-boson model - a procedure that reduces to standard bosonization in the limit of ``sharp'' edge. The I-V tunneling characteristics deduced from this model exhibit, for low voltage, a power law behavior, with exponents that differ significantly from those of the sharp edge model.

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• Testing the topological nature of the fractional quantum Hall edge
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• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Observability of counterpropagating modes at fractional-quantum-Hall edges
• Theory of the microwave impedance microscopy of Chern insulators
• Separately contacted edge states at high imbalance in the integer and fractional quantum Hall effect regime
• Electron operator at the edge of the 1/3 fractional quantum Hall liquid
• Microscopic study of the 2/5 fractional quantum Hall edge
• Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges
• Bosonization theory for tunneling spectra in smooth edges of Quantum Hall systems
• Continuum elasticity theory of edge excitations in a two-dimensional electron liquid with finite range interactions
• Tunnelling Spectroscopy of Localized States near the Quantum Hall Edge
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• Metal-Insulator Transition Tuned by External Gates in Hall Systems with Constrictions
• Evidence for the Luttigger liquid density of states in transport across the incompressible stripe at fractional filling factors
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Green's Function Approach to the Edge Spectral Density
• Edge of a Half-Filled Landau Level
• Universality Lost: Relation between quantizations of the Hall conductance and the edge exponents in fractional quantum Hall effect