SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 15: Quantum Transport and Quantum Hall Effects I (joint session HL/TT)

TT 15.1: Vortrag

Montag, 27. März 2023, 15:00–15:15, JAN 0027

Local Chern patches and networks of chiral modes in quantum Hall phases with spatial magnetic field profiles. — •Suraj Hegde and Tobias Meng — Institute of Theoretical Physics and Wurzburg-Dresden Cluster of Excellence ct.qmat, Technische Universitat Dresden, 01069 Dresden, Germany.

Transport experiments on curved Hall bars show a variety of non-trivial transport signatures. Motivated by these experiments, we develop a model that accounts for various features in multi-terminal Hall bar measurements and perform numerical simulations using KWANT. We model the effect of curvature of the sample through spatial variation of the magnetic field profile and find that it results in patches of quantum Hall phases characterised by different local Chern markers. We find that most of the transverse and longitudinal transport can be understood in terms of local Chern patches and an intricate interplay of chiral modes at the interface of different patches. We also show that the spatial magnetic field textures could provide a novel platform to engineer lattices formed by networks of chiral modes.