Description |
The fractional quantum Hall states, which occur in certain two-dimensional electron systems in a strong magnetic field, are strongly correlated electron states that exhibit a number of very remarkable properties. It can be shown mathematically that these systems host quasiparticle with fractional charge and either fractional statistics or its extension, non-Abelian statistics. However, experiments to directly demonstrate these properties have proved challenging to carry out. My talk will review the definitions of these concepts, as they apply to quantum Hall systems, and will review some recent experimental developments related to them, including the recent observations of fractional statistics in the state at Landau level filling fraction 1/3. [1,2,3]
References:
[1] J. Nakamura et al., Nature Phys. 16, 931 (2020)
[2] H. Bartolomei et al., Science 368, 173 (2020)
[3]. D. E. Feldman and B. I. Halperin, Rep. Prog. in Phys. 84, 076501 (2021)
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