Beecroft Building, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Professor Biao Lian, Princeton University
Dumitru Calugaru <dumitru.calugaru@physics.ox.ac.uk>
Abstract
Quantized resistance from fractional quantum Hall edge with superconductivity
In recent years, there has been growing experimental interests in studying quantum Hall edge states in proximity to a superconductor (SC); however, a quantized resistance signature is usually lacking, due to the non-universal superconducting couplings and unavoidable disorders. We demonstrate that a novel quantized resistance can be realized for certain fractional quantum Hall (FQH) edge states with disordered SC proximity. The example I will show is the filling 2/3 FQH state, which is known to have a pair of counter-propagating edge modes. We predict that disordered SC-couplings can reconstruct the edge modes into an infinite set of stable phases with quantized electron-to-hole conversion probability, which gives rise to a quantized downstream resistance in the FQH-SC junction. This provides a quantized electrical transport signature beyond the quantized Hall resistance. Our results reveal a rich landscape of disorder-stabilized phases in topological edge states with SC proximity.
Bio
Biao Lian is an assistant professor at the Department of Physics, Princeton University since 2020. He received his B.Sc. from the Department of Physics, Tsinghua University in 2012, and completed Ph.D. from Stanford University in 2017. He then worked as a postdoctoral fellow in Princeton Center for Theoretical Science from 2017 to 2020. His research interests are theoretical studies of topological condensed matter physics, low-dimensional quantum systems, and nonequilibrium many-body quantum dynamics.