The Quantum Skin Hall Effect

Abstract

The skin effect, which is unique to non-Hermitian systems, can generate an extensive number of eigenstates localized near the boundary in an open geometry. Here we propose that in 2D and 3D other quantities besides charge density are susceptible to the skin effect. We show that 2D and 3D models that are a hybrid between topological insulators and skin-effect systems can have a topological skin effect where an extensive number of topological modes, and the corresponding bulk topological invariant, are pinned to the surface. A key example, which we call the quantum skin Hall effect is constructed from layers of Chern insulators and exhibits an extensive Hall conductance and number of chiral modes bound to surfaces normal to the stack of layers. The same procedure is further extended to other symmetry classes to illustrate that a variety of 1D and 2D topological invariants ($\mathbb{Z}$ or ${\mathbb{Z}}_2)$ are subject to the skin effect. Indeed, we also propose a hybrid 2D system that exhibits an extensive number of topological corner modes and may be more easily realized in meta-material experiments.

6 pages, 4 figures

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Cited by in corpus (5)

• Universal non-Hermitian skin effect in two and higher dimensions
• Guided accumulation of active particles by topological design of a second-order skin effect
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Non-Hermitian skin effect of dislocations and its topological origin
• Geometry-dependent skin effects in reciprocal photonic crystals