Dynamical Properties of Quantum Hall Edge States and Xray Problem
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}\over2ν(δ\overπ)^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 one dimensional 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. Supported by the US DoE.
 Publication:

APS March Meeting Abstracts
 Pub Date:
 March 1996
 Bibcode:
 1996APS..MAR.B1602M