Dynamical properties of quantum Hall edge states
Abstract
We consider the dynamical properties of simple edge states in integer (ν=1) and fractional (ν=1/2m+1) quantum Hall (QH) liquids. The influence of a timedependent local perturbation on the ground state is investigated. It is shown that the orthogonality catastrophe occurs for the initial and final state overlap <if>~L^{(1/2ν)(δ/π)2} with the phase shift δ. The transition probability for the xray problem is also found with the index, dependent on ν. Optical experiments that measure the xray response of the QH edge are discussed. We also consider electrons tunneling from a onedimensional Fermi liquid into a QH fluid. For any filling fraction the tunneling from a Fermi liquid to the QH edge is suppressed at low temperatures and we find the nonlinear IV characteristics I~V^{1/ν}.
 Publication:

Physical Review B
 Pub Date:
 September 1995
 DOI:
 10.1103/PhysRevB.52.R8676
 arXiv:
 arXiv:condmat/9506055
 Bibcode:
 1995PhRvB..52.8676B
 Keywords:

 73.40.Hm;
 Condensed Matter
 EPrint:
 12 pages. Algebraic error in the tunneling exponent calculation in the last part of the paper is corrected. The orthogonality catastrophe and xray calculations are not affected by this error