17 research outputs found

    Helical damping and anomalous critical non-Hermitian skin effect

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    Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian systems. In this Letter, we study an open system with its dynamics of single-particle correlation function effectively dominated by a non-Hermitian damping matrix, which exhibits Z2\mathbb{Z}_2 skin effect, and uncover the existence of a novel phenomenon of helical damping. When adding perturbations that break anomalous time reversal symmetry to the system, the critical skin effect occurs, which causes the disappearance of the helical damping in the thermodynamic limit although it can exist in small size systems. We also demonstrate the existence of anomalous critical skin effect when we couple two identical systems with Z2\mathbb{Z}_2 skin effect. With the help of non-Bloch band theory, we unveil that the change of generalized Brillouin zone equation is the necessary condition of critical skin effect.Comment: 7+5 pages, 4+5 figure

    Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems

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    In this paper, we introduce the concept of dynamical degeneracy splitting to describe the anisotropic decay behaviors in non-Hermitian systems. We demonstrate that systems with dynamical degeneracy splitting exhibit two distinctive features: (i) the system shows frequency-resolved non-Hermitian skin effect; (ii) Green's function exhibits anomalous at given frequency, leading to uneven broadening in spectral function and anomalous scattering. As an application, we propose directional invisibility based on wave packet dynamics to investigate the geometry-dependent skin effect in higher dimensions. Our work elucidates a faithful correspondence between non-Hermitian skin effect and Green's function, offering a guiding principle for exploration of novel physical phenomena emerging from this effect.Comment: 24 pages, 11 figure

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

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    In this Letter, we propose a universal edge theory for the higher-dimensional non-Hermitian edge-skin modes. In contrast to the well-understood corner-skin effect, we demonstrate that the edge-skin effect requires the protection of reciprocity or inversion. Through an exact mapping, we show that these skin modes share the same bulk-edge correspondence as the Fermi-arc states in a Hermitian Dirac semimetal. Based on this mapping, we introduce a bulk projection criterion to identify the skin edge, and utilize the non-Bloch Hamiltonian under specific cylinder geometry to characterize the localization features of edge-skin modes. We find that the edge-skin modes are made of components with real-valued momenta along the edge, and interestingly the decay direction typically deviates from the normal direction of the edge, a phenomenon we term skewness. Furthermore, we reveal the remarkable sensitivity of the cylinder-geometry spectrum to disturbances that violate fragile reciprocity. When this symmetry is disrupted, the cylinder-geometry spectrum undergoes an abrupt transition towards the near open-boundary spectrum, underscoring a key difference between corner-skin and edge-skin effects.Comment: 15 pages, 8 figure
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