Effective Edge State Dynamics in the Fractional Quantum Hall Effect

Abstract

We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum Hall wavefunctions and conformal field theories we construct effective Hamiltonians from general principles and then constrain their forms by considering the effect of bulk symmetries on the properties of the edge. In examining the effect of bulk interactions on this edge we find remarkable simplifications to these effective theories which allow for a very accurate description of the low-energy physics of quantum Hall edges relatively far away from the Luttinger liquid fixed point, and which apply to small systems and higher energies.

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• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Topology- and symmetry-protected domain wall conduction in quantum Hall nematics
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Anyon braiding on the single edge of a fractional quantum Hall state
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Fractional quantum Hall edge polaritons
• Almost linear Haldane pseudopotentials and emergent conformal block wave-functions in a Landau level