Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-16
Nucl.Phys. B398 (1993) 531-567
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, 7 figures (not included, they are mailed on request), harvmac CERN-TH 6702/92
Scientific paper
10.1016/0550-3213(93)90603-M
The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and detailed derivation of this conformal field theory for integer filling, starting from the microscopic dynamics of $(2+1)$-dimensional non-relativistic electrons in Landau levels. This construction can be generalized to describe Laughlin's fractional Hall states via chiral bosonization, thereby making contact with the effective Chern-Simons theory approach. The conformal field theory dictates the finite-size effects in the energy spectrum. An experimental or numerical verification of these universal effects would provide a further confirmation of Laughlin's theory of incompressible quantum fluids.
Cappelli Andrea
Dunne Gerald V.
Trugenberger Carlo A.
Zemba Guillermo R.
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