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We demonstrate that dislocations in two-dimensional non-Hermitian systems can give rise to density accumulation or depletion through the localization of an extensive number of states. These effects are shown by numerical simulations in a…

介观与纳米尺度物理 · 物理学 2021-12-16 Balaganchi A. Bhargava , Ion Cosma Fulga , Jeroen van den Brink , Ali G. Moghaddam

The non-Hermitian skin effect is fundamentally characterized by its sensitivity to boundary conditions, reflected in changes to the energy spectrum and boundary-localized eigenstates. Here, we demonstrate that a spatially inhomogeneous…

介观与纳米尺度物理 · 物理学 2026-05-18 Zheng Wei , Ji-Yao Fan , Kui Cao , Xin-Ran Ma , Cui-Xian Guo , Xue-Ping Ren , Su-Peng Kou

Higher-order topology realizes topologically robust corner modes as a manifestation of nontriviality. We theoretically propose non-Hermitian skin effects which stem from second-order topology of chiral-symmetric Hermitian systems. It is…

介观与纳米尺度物理 · 物理学 2021-01-04 Ryo Okugawa , Ryo Takahashi , Kazuki Yokomizo

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not…

介观与纳米尺度物理 · 物理学 2020-03-04 Nobuyuki Okuma , Kohei Kawabata , Ken Shiozaki , Masatoshi Sato

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced localization in the bulk. We study a Hamiltonian with non-reciprocal couplings that exhibits the skin effect…

介观与纳米尺度物理 · 物理学 2024-03-20 Bryn Davies , Silvio Barandun , Erik Orvehed Hiltunen , Richard V. Craster , Habib Ammari

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an…

介观与纳米尺度物理 · 物理学 2021-10-13 Frank Schindler , Abhinav Prem

A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field of metamaterial research on synthetic topological matter,…

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection,…

介观与纳米尺度物理 · 物理学 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

Non-Hermitian systems exhibit a distinctive phenomenon known as the non-Hermitian skin effect, where an extensive number of eigenstates become localized at the boundaries of a lattice with open boundaries. While the spectral winding number…

材料科学 · 物理学 2025-04-17 Wuping Yang , H. Huang

The Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of…

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…

介观与纳米尺度物理 · 物理学 2020-08-07 Yuhao Ma , Taylor L. Hughes

The non-Hermitian skin effect is a phenomenon in which an extensive number of states accumulates at the boundaries of a system. It has been associated to nontrivial topology, with nonzero bulk invariants predicting its appearance and its…

介观与纳米尺度物理 · 物理学 2025-09-24 Helene Spring , Viktor Könye , Anton R. Akhmerov , Ion Cosma Fulga

We investigate theoretically tunable non-Hermitian skin effect in systems with gain and loss, and find that bipolar (quadripolar) non-Hermitian skin effect characterized by topological invariants in one (two)-dimensional system. We also…

应用物理 · 物理学 2024-10-29 Wen-Cheng Jiang , Hong Wu , Jian Li , Qing-Xu Li , Jia-Ji Zhu

Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet to be established. Here, we develop a field-theoretical description of the intrinsic non-Hermitian topological…

介观与纳米尺度物理 · 物理学 2021-06-01 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

Non-Hermitian skin effect, which is a unique feature of non-Hermitian systems, exhibits the formation of an extensive number of boundary modes under open boundary conditions. However, its manifestation in higher dimensions remains elusive.…

介观与纳米尺度物理 · 物理学 2026-03-27 Dipendu Halder , Srijata Lahiri , Saurabh Basu

This work investigates edge modes in non-Hermitian photonic crystals with broken spectral reciprocity. In such systems, the spectra of the underlying operators generally form closed loops over the complex plane with nontrivial spectral…

数学物理 · 物理学 2026-03-25 Junshan Lin , Hai Zhang

Non-Hermitian skin effect, the localization of an extensive number of eigenstates at the ends of the system, has greatly expanded the frontier of physical laws. It has long been believed that the present of skin modes is equivalent to the…

介观与纳米尺度物理 · 物理学 2023-04-17 Gang-Feng Guo , Xi-Xi Bao , Han-Jie Zhu , Xiao-Ming Zhao , Lin Zhuang , Lei Tan , Wu-Ming Liu

The process of dephasing during wave evolution has traditionally been viewed as an obstacle to localization, leading to diffusion even in strongly disordered Hermitian lattices. In contrast, here we demonstrate how the interplay of…

无序系统与神经网络 · 物理学 2026-01-27 Emmanouil T. Kokkinakis , Konstantinos G. Makris , Eleftherios N. Economou

The non-Hermitian skin effect (NHSE) and nonlinearity can both delocalize topological modes (TMs) from the interface. However, the NHSE requires precise parameter tuning, while nonlinearity in Hermitian systems results in partial…

量子物理 · 物理学 2025-09-03 Zhao-Fan Cai , Yu-Chun Wang , Yu-Ran Zhang , Tao Liu , Franco Nori

Topological modes (TMs) are usually localized at defects or boundaries of a much larger topological lattice. Recent studies of non-Hermitian band theories unveiled the non-Hermitian skin effect (NHSE), by which the bulk states collapse to…

应用物理 · 物理学 2022-08-05 Wei Wang , Xulong Wang , Guancong Ma
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