Quantized Transport of Disordered Superconducting Fractional Quantum Hall Edge (II): the ν=5/2 Case Study
ORAL
Abstract
Identifying the ground state of the experimentally realized fractional quantum Hall (FQH) system at filling factor 5/2 remains a central open question. Numerical studies favor the non-Abelian Pfaffian (Pf) and its particle-hole conjugate, the anti-Pfaffian (APf), while thermal conductance measurements suggest the particle-hole Pfaffian (PH-Pf) as another candidate. We propose coupling the 5/2 FQH edge to a superconductor and show that disordered superconducting proximity can reconstruct the edge into a hierarchy of stable phases characterized by quantized electron-to-hole conversion probabilities along the boundary. We further outline an experimental protocol in which the predicted electric conductances are different for the three different Pfaffian states.
*This work is supported by the National Science Foundation under award DMR-2141966, and the National Science Foundation through Princeton University's Materials Research Science and Engineering Center DMR2011750. Additional support is provided by the Gordon and Betty Moore Foundation through Grant GBMF8685 towards the Princeton theory program. P.M.T. is supported by a postdoctoral research fellowship at the Princeton Center for Theoretical Science and a Croucher Fellowship. H.C. receives additional supports from Bede Liu Fund for Excellence at the Department of Electrical and Computer Engineering of Princeton University.
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Presenters
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Hao Chen
- Princeton University