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

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

1999-12-13

arxiv.org/abs/cond-mat/9912218v2

Phys.Rev. B63 (2001) 153311

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, latex; typos corrected and some references added

Scientific paper

10.1103/PhysRevB.63.153311

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 $\phi_0/p$. 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 $\nu$.

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