Fractional Solitons on the edge of the Fractional Quantum Hall states: Revealing topology through a non-linear dynamics

Theory Seminars

Speaker: Paul Wiegmann, Simon's Center, University of Chicago
Date & Time: March 17, 2014 12:00 - 13:00
Location: UBC, Hennings 318
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Intended Audience: Graduate

In the talk I argue that dynamics of Fractional Quantum Hall Edge states is essentially non-linear and that it features fractionally quantized solitons propagating along the edge. Observation of solitons would be a direct evidence of fractional charges. We show that the non-linear dynamics of the Laughlin’s FQH state is governed by the quantum Benjamin-Ono equation.