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In this talk I will argue that the physics of the fractional quantum Hall effect my arise, under certain conditions and limitations, directly in one dimensional systems. The primary example that will be discussed is that of one dimensional wires with spin-orbit coupling. We will show that in the presence of Zeeman field and strong electron-electron interaction, a clean wire may form fractional helical liquid states with phenomenology similar to fractional quantum Hall liquids. Most notably, the wire's two terminal conductance is predicted to show fractional quantized conductance plateaus at low electron density. The elementary charge excitation of the wire is fractional and affects the shot noise in a nontrivial way. When the system is proximity-coupled to a superconductor, fractional Majorana bound states may be stabilized, giving rise to 1D analog of non-abelian anyons. I will discuss how disorder destabilizes these fractional phases. Possible numerical checks of the predicted effects will be discussed.

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Eran Sela, University of Tel Aviv
Seminar Room of the Institute of Physics II (R201)
Contact: Simon Trebst