Universal Hall conductance scaling in non-Hermitian Chern insulators

Abstract

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 non-analytical 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 electronic transport experiments.

arXiv comment5+3 pages, 2 figures

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• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Physical constraints on effective non-Hermitian systems
• Supermetal-insulator transition in a non-Hermitian network model