1993/11/25 by S. Giovanazzi, L. Pitaevskii, S. Stringari
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevlett.72.3230
10 pages, 2 figures upon request, UTF-311-11/93
arxiv created 1993/11/25 · arxiv updated 2009/11/30
We present a microscopic description of edge excitations in the quantum Hall effect which is analogous to Feynman's theory of superfluids. Analytic expressions for the excitation energies are derived in finite dots. Our predictions are in excellent agreement with the results of a recent numerical diagonalization. In the large N limit the dispersion law is proportional to qlog1\over q. For short range interactions the energy instead behaves as q3. The same results are also derived using hydrodynamic theory of incompressible liquids.