Magnetic suppression of non-Hermitian skin effects

Abstract

Skin effect, where macroscopically many bulk states are aggregated towards the system boundary, is one of the most important and distinguishing phenomena in non-Hermitian quantum systems. We discuss a new aspect of this effect whereby, despite its topological origin, applying magnetic field can largely suppress it. Skin states are pushed back into the bulk and the skin topological area, which we define, is sharply reduced. As seen from exact solutions of representative models this is fundamentally rooted in the fact that the applied magnetic field restores the validity of the low-energy description that is rendered inapplicable in the presence of non-Bloch skin states. We further study this phenomenon using rational gauge fluxes, which reveals a unique irrelevance of the generalized Brillouin zone in the standard non-Bloch band theory of non-Hermitian systems.

5+7 pages. Phys. Rev. Lett. in press

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Cited by in corpus (14)

• Non-Hermitian skin effect and self-acceleration
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Non-Hermitian Topological Phases: Principles and Prospects
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Continuum of Bound States in a Non-Hermitian Model
• Manipulating non-Hermitian skin effect via electric fields
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension