SKM 2021 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 25: Poster Session: Topology

TT 25.12: Poster

Donnerstag, 30. September 2021, 13:30–16:00, P

Universal Hall conductance scaling in non-Hermitian Chern insulators — •Solofo Groenendijk¹, Thomas Schmidt¹, and Tobias Meng² — ¹Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg — ²Institute for Theoretical Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, Technische Universität Dresden, 01069 Dresden, Germany

We investigate the Hall conductance of a two-dimensional Chern insulator coupled to an environment causing gain and loss. Introducing a biorthogonal linear response theory, we show that sufficiently strong gain and loss lead to a characteristic nonanalytical contribution to the Hall conductance. Near its onset, this contribution exhibits a universal power law with a power 3/2 as a function of Dirac mass, chemical potential, and gain strength. Our results pave the way for the study of non-Hermitian topology in fermionic transport experiments.