Conformal field theory and edge excitations for the principal series of quantum Hall fluids

Abstract

Motivated by recent experimental results, we reconsider the theory of the edge excitations for the fractional Hall effect at filling factors $\nu =p/(2np+1)$. We propose to modify the standard $u(1)\otimes su(p)$ edge theory for this series by introducing twist fields which change the boundary conditions of the bosonic fields and simulate the effect of fractions of flux quanta ${\varphi }_0/p$. This has the effect of removing the conserved charges associated to the neutral modes while keeping the right statistics of the particles. The Green function of the electron in presence of twists decays at long distance with an exponent varying continuously with $\nu$.

5 pages, latex; typos corrected and some references added

References in corpus (4)

• Liquid Crystal Phases of Quantum Hall Systems
• Periphery deformations and tunneling at correlated quantum-Hall edges
• A conformal field theory description of the paired and parafermionic states in the quantum Hall effect
• `Composite particles' and the eigenstates of Calogero-Sutherland and Ruijsenaars-Schneider

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• Jain states on a torus: an unifying description
• Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit
• Infrared catastrophe and tunneling into strongly correlated electron systems: Exact solution of the x-ray edge limit for the 1D electron gas and 2D Hall fluid
• Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system