Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 64: BKT Physics
TT 64.5: Vortrag
Mittwoch, 11. März 2026, 17:45–18:00, HSZ/0103
Phases of Quasi-One-Dimensional Fractional Quantum (Anomalous) Hall Superconductor Heterostructures — Steffen Bollmann1, Andreas Haller2, Jukka I. Väyrynen3, •Thomas L. Schmidt2, and Elio J. König4,1 — 1Max-Planck Institute for Solid State Research, 70569 Stuttgart, Germany — 2University of Luxembourg, L-1511 Luxembourg, Luxembourg — 3Purdue University, West Lafayette, Indiana 47907, USA — 4University of Wisconsin-Madison, Madison, Wisconsin 53706, USA
We study fractional quantum (anomalous) Hall-superconductor heterostructures in the presence of U(1) order-parameter fluctuations and focus on the case of ν = 2/3 quantum Hall states leading to Z3 parafermions. For an alternating pattern of superconductor and tunneling regions, coupled to fractional quantum Hall edge states, we use a map onto a topological Josephson junction chain involving lattice parafermions. Using DMRG simulations, we establish a phase diagram composed of Mott insulating phases and two different Luttinger liquids carrying excitations with charges 2e and 2e/3. In agreement with analytical considerations using conformal field theory, we numerically find transitions of Berezinskii-Kosterlitz-Thouless (BKT) type as well as a continuous Z3 × U(1) second-order phase transition characterized by central charge c = 9/5. We finally extract information about a possible ground state degeneracy and comment on the stability of parafermionic edge states in the presence of order parameter fluctuations.
Keywords: Parafermions; Fractional Chern Insulators