PIRSA:13100073

Fractional solitons on the edge of the Fractional Quantum Hall states

Wiegmann, P. (2013). Fractional solitons on the edge of the Fractional Quantum Hall states. Perimeter Institute. https://pirsa.org/13100073

Wiegmann, Paul. Fractional solitons on the edge of the Fractional Quantum Hall states. Perimeter Institute, Oct. 10, 2013, https://pirsa.org/13100073 

          @misc{ pirsa_PIRSA:13100073,
            doi = {10.48660/13100073},
            url = {https://pirsa.org/13100073},
            author = {Wiegmann, Paul},
            keywords = {Condensed Matter},
            language = {en},
            title = {Fractional solitons on the edge of the Fractional Quantum Hall states},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100073 see, \url{https://pirsa.org}}
          }

Paul Wiegmann University of Chicago - James Franck Institute

DOI 10.48660/13100073
Collection
Talk Type Scientific Series
Subject

Abstract

We argue that dynamics of gapless 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.