Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
Nov, 1993Citations per year
Abstract: (Elsevier)
In this paper we study the spectrum of low-energy edge excitations of a fractional quantum Hall (FQH) droplet. We show how to generate, by conformal field theory (CFT) techniques, the many-electron wave functions for the edge states. And we propose to classify the spectrum of the edge states by the same chiral operator product algebra (OPA) that appears in the CFT description of the ground state in the bulk. This bulk-edge correspondence is suggested particularly for FQH systems that support quasiparticles obeying non-abelian braid statistics, including the v = 5 2 Haldane-Rezayi state. Numerical diagonalization to count the low-lying edge states has been done for several non-abelian FQH systems, showing good agreement in all cases with the chiral OPA predictions. The specific heat of the edge excitations in those non-abelian states is also calculated.Note:
- 18 pages, Plain TeX, MIT and U. of Utah preprint
- Hall effect: fractional
- droplet
- field theory: conformal
- current algebra
- many-body problem: wave function
- algebra: chiral
References(0)
Figures(0)
Loading ...