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Condensed Matter Physics Seminar

Thursday, September 2, 1999, 2 p.m.

Plant Sciences Building, Room 1130
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*Tunneling into a compressible quantum Hall state edge*

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Leonid Levitov

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(Massachusetts Institute of Technology)

**Abstract:** Electron tunneling into the edge of a compressible
quantum Hall state is described by a composite Fermi liquid theory. We
derive an effective action for the dynamics of a compressible quantum Hall
edge. The action generalizes chiral Luttinger liquid theory of the quantum
Hall edge to the systems with finite Hall angle. In addition to the standard
terms, the action contains a dissipative term. Tunneling exponent is calculated
as function of the filling fraction for several models, including short-
and long-range interaction potential and also diffusive and ballistic transport
mechanism. We find that tunneling exponents are robust and to a large extent
insensitive to the particular model chosen.
**Host: **Victor Yakovenko

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