Student Seminar | July 14, 16:30
Hollow Topological Matter and Dual Fractional Quantum Hall Effect
The Integer Quantum Hall Effect (IQHE) at filling factor m and the Fractional Quantum Hall Effect (FQHE) at 1/m are commonly viewed as distinct phases of matter. We propose various chiral/non-chiral heterostructures that effectively pin m co-propagating IQHE edge states to a condensed single mode. This setup thus realizes the Dual Fractional Quantum Hall Effect (DFQHE), a phase where fractionalization is reversed, that is, fundamental excitations retain integer electric charge but carry fractional magnetic flux. While the transconductance remains integer quantized, the edge correlations nonetheless exhibit anyonic power-law scaling. We show that this is a physical manifestation of Hollow Topological Matter: due to pinning, the edge no longer corresponds to the original physical bulk, but rather to a virtual bulk that may be bosonic or fermionic independent of the microscopic exchange statistics.
IQI, RWTH Aachen and PGI, Fz Juelich
0.03
Contact: Partha Sarker