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Thursday, November 07, 2024
12:00 PM - 1:00 PM
West Bridge B157 (CMP Conference Room)

Special Quantum Matter Seminar

Identifying the topological order of quantized half-filled Landau levels through their daughter states
Evgenii Zheltonozhskii, Department of Physics, Technion Institute of Technology, Israel,

Fractional quantum Hall states at a half-filled Landau level are believed to carry an integer number of chiral Majorana edge modes, reflected in their thermal Hall conductivity. We show that this number determines the primary series of Abelian fractional quantum Hall states that emerge above and below the half-filling point. On a particular side of half-filling each series may originate from two consecutive values of , but the combination of the series above and below half-filling uniquely identifies . We analyze these states both by a hierarchy approach and by a composite fermion approach. In the latter, we map electrons near a half-filled Landau level to composite fermions at a weak magnetic field and show that a bosonic integer quantum Hall state is formed by pairs of composite fermions and plays a crucial role in the state's Hall conductivity.

For more information, please contact Loly Ekmekjian by email at [email protected].