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TT: Fachverband Tiefe Temperaturen
TT 83: Topology: Quantum Hall Systems
TT 83.12: Talk
Thursday, March 12, 2026, 18:00–18:15, HSZ/0105
Parafermions emerging from spin-polorized ν=2/3 fractional quantum Hall state — •Steffen Bollmann1, Andreas Haller2, Jukka I. Väyrynen3, Thomas L. Schmidt2, and Elio J. König4 — 1Max Planck Institute for Solid State Research, Stuttgart, Germany — 2University of Luxembourg, Luxembourg — 3Purdue University, West Lafayette, Indiana, USA — 4University of Wisconsin*Madison, Madison, Wisconsin, USA
We study the theoretical realization of Z3 parafermions in the spin-polarized ν=2/3 fractional quantum Hall (FQH) state, motivated by recent experimental advances in materials such as rhombohedral graphene or twisted MoTe2. We discuss how parafermions can emerge in FQH-superconductor heterostructures, unlike earlier proposals that rely on spin-unpolarized systems. Disorder-induced backscattering of FQH edge states drives the system toward the Kane-Fisher-Polchinski fixed point, where the edge theory decouples into a charged mode carrying charge 2e/3 and an electrically neutral mode. Inter-edge interactions in the neutral sector lead to a strong-coupling regime that gaps the neutral modes entirely. This reduction leaves an effective low-energy description governed by lattice parafermion modes.
Keywords: Fractional Quantum Hall; Parafermions; DMRG; Quasi one dimension; Renormalization group