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A non-Hermitian system is characterized by the violation of energy conservation. As a result of unbalanced gain or loss in the forward and backward directions due to non-reciprocal couplings, the eigenmodes of such systems exhibit extreme…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

Non-Hermitian lattices can host the non-Hermitian skin effect, a boundary-induced collapse of all bulk eigenstates into exponentially localized edge modes. This effect underlies anomalous bulk-boundary correspondence and remarkable…

Optics · Physics 2026-05-19 Rohith Srikanth , Sashank Kaushik Sridhar , Avik Dutt

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced many-body localization (MBL). However, the sensitivity of the spatial boundary conditions and the interplay of the non-Hermitian skin effect with…

Disordered Systems and Neural Networks · Physics 2022-12-09 Kuldeep Suthar , Yi-Cheng Wang , Yi-Ping Huang , H. H. Jen , Jhih-Shih You

Non-Hermitian physics has received great attention recently. In particular, band structures in non-Hermitian systems can be engineered to exhibit various topological effects. Among them, one of the most intriguing phenomena is the…

Quantum Physics · Physics 2024-04-24 Wenwen Liu , Oubo You , Bumki Min , Shuang Zhang

We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding of two interpretations of non-Hermitian topology: quantum…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Nobuyuki Okuma , Masatoshi Sato

Recent studies of non-Hermitian periodic lattices unveiled the non-Hermitian skin effect (NHSE), in which the bulk modes under the periodic boundary conditions (PBC) become skin modes under open boundary conditions (OBC). The NHSE is a…

Other Condensed Matter · Physics 2023-11-17 Wei Wang , Mengying Hu , Xulong Wang , Guancong Ma , Kun Ding

Non-Hermitian systems exhibit unique spectral properties, including the non-Hermitian skin effect and exceptional points, often influenced by boundary conditions. The modulation of these phenomena by generalized boundary conditions remains…

Quantum Physics · Physics 2026-02-20 S Rahul , Pasquale Marra

Multifractal analysis is a powerful tool for characterizing the localization properties of wave functions. Despite its utility, this tool has been predominantly applied to disordered Hermitian systems. Multifractal statistics associated…

Mesoscale and Nanoscale Physics · Physics 2025-02-27 Shu Hamanaka , Askar A. Iliasov , Titus Neupert , Tomáš Bzdušek , Tsuneya Yoshida

Magnets with broken local inversion symmetries are interesting candidates for chiral magnetic textures such as skyrmions and spin spirals. The property of these magnets is that each subsequent layer can possess a different…

Mesoscale and Nanoscale Physics · Physics 2020-11-12 Etienne van Walsem , Rembert A. Duine , Marcos H. D. Guimarães

Recently, it was established that there exists a direct relation between the non-Hermitian skin effects, -strong dependence of spectra on boundary conditions for non-Hermitian Hamiltonians-, and boundary zero modes for Hermitian topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Nobuyuki Okuma , Masatoshi Sato

Non-Hermitian skin effect exhibits the collapse of the extended bulk modes into the extensive number of localized boundary states in open boundary conditions. Here we demonstrate the disorder-driven phase transition of the trivial…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Kyoung-Min Kim , Moon Jip Park

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes,…

Other Condensed Matter · Physics 2019-05-15 Ching Hua Lee , Ronny Thomale

In this work, we investigate the fate of the non-Hermitian skin effect in one-dimensional systems that conserve the dipole moment and higher moments of an associated global $\text{U}(1)$ charge. Motivated by field theoretical arguments and…

Strongly Correlated Electrons · Physics 2024-10-01 Jacopo Gliozzi , Giuseppe De Tomasi , Taylor L. Hughes

Nonlinear-optical manifestations of the Borrmann effect that are consequences of the spectral dependence of the spatial distributions of the electromagnetic field in a structure are observed in one-dimensional photonic crystals. The…

Optics · Physics 2009-11-13 I. Razdolski , T. Murzina , O. Aktsipetrov , M. Inoue

We establish new results on the spectra and pseudo-spectra of tridiagonal $k$-Toeplitz operators and matrices. In particular, we prove the connection between the winding number of the eigenvalues of the symbol function and the exponential…

Mathematical Physics · Physics 2024-01-24 Habib Ammari , Silvio Barandun , Yannick De Bruijn , Ping Liu , Clemens Thalhammer

We formulate the spin contribution to the inverse Faraday effect of non-magnetic metals. We deal with the role of the inversion symmetry, which forces all electronic bands to be at least twice degenerate at every point in the Brillouin…

Materials Science · Physics 2023-06-23 Shashi B. Mishra , Sinisa Coh

We investigate the impact of the local spin texture on the differential conductance by scanning tunneling microscopy. In the focus is the previously found non-collinear magnetoresistance, which originates from spin mixing effects upon…

Materials Science · Physics 2017-04-05 André Kubetzka , Christian Hanneken , Roland Wiesendanger , Kirsten von Bergmann

Spectral directional emissivity has been measured in copper between 3 and 24 {\mu}m above room temperature. The experimental spectrum shows a weak broad peak between 7 and 14 {\mu}m, which is much more acute for higher emission angles.…

The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

Imaginary gauge transformation (IGT) provides a clear understanding of the non-Hermitian skin effect by transforming the non-Hermitian Hamiltonians with real spectra into Hermitian ones. In this paper, we extend this approach to the complex…

Quantum Physics · Physics 2026-01-08 Yunyao Qi , Jinghui Pi , Yuquan Wu , Heng Lin , Chao Zheng , Gui-Lu Long