English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this Letter, we establish an effective edge theory to characterizenon-Hermitian edge-skin modes in higher dimensions. We begin by proposing abulk projection criterion to straightforwardly identify the localized edges ofskin modes. Through an exact mapping, we show that the edge-skin mode sharesthe same bulk-boundary correspondence and localization characteristics as thezero-energy edge states in a Hermitian semimetal under open-boundaryconditions, bridging the gap between non-Hermitian edge-skin effect andHermitian semimetals. Another key finding is the introduction of skewness, aterm we proposed to describe the characteristic decay direction of skin modefrom the localized edge into the bulk. Remarkably, we demonstrate that skewnessis an intrinsic quantity of the skin mode and can be analytically determinedusing the non-Bloch bulk Hamiltonian with real-valued momenta along thelocalized edge, without requiring any boundary details. Furthermore, we revealthat in the edge-skin effect, the spectrum exhibits anomalous spectralsensitivity to weak local disturbances, a feature that crucially distinguishesit from the corner-skin effect.

Edge theory of the non-Hermitian skin modes in higher dimensions