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Author Balatsky, A. ♦ Matveenko, S.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ HALL EFFECT ♦ DYNAMICS ♦ FERMI LEVEL ♦ FLUIDS ♦ PHASE SHIFT ♦ QUANTIZATION ♦ TUNNELING
Abstract We consider the dynamical properties of simple edge states in integer ({nu}=1) and fractional ({nu}=1/2{ital m}+1) quantum Hall (QH) liquids. The influence of a time-dependent local perturbation on the ground state is investigated. It is shown that the orthogonality catastrophe occurs for the initial and final state overlap {vert_bar}{l_angle}{ital i}{vert_bar}{ital f}{r_angle}{vert_bar}{similar_to}{ital L}{sup {minus}(1/2{nu})({delta}/{pi}){sup 2}} with the phase shift {delta}. The transition probability for the x-ray problem is also found with the index, dependent on {nu}. Optical experiments that measure the x-ray response of the QH edge are discussed. We also consider electrons tunneling from a 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 {ital I}-{ital V} characteristics {ital I}{similar_to}{ital V}{sup 1/{nu}}.
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 1995-09-15
Publisher Place United States
Journal Physical Review, B: Condensed Matter
Volume Number 52
Issue Number 12


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