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The non-Hermitian skin effect (NHSE), an anomalous localization behavior of the bulk states, is an inherently non-Hermitian phenomenon, which can not find a counterpart in Hermitian systems. However, the fragility of NHSE has been revealed…

量子物理 · 物理学 2024-07-30 Shuai Li , Min Liu , Yue Zhang , Rui Tian , Maksims Arzamasovs , Bo Liu

The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry (PHS)…

介观与纳米尺度物理 · 物理学 2023-08-31 Zhi-Yuan Wang , Jian-Song Hong , Xiong-Jun Liu

Amid the growing interest in non-Hermitian quantum systems, non-interacting models have received the most attention. Here, through the stochastic series expansion quantum Monte Carlo method, we investigate non-Hermitian physics in…

量子物理 · 物理学 2023-12-12 Shi-Xin Hu , Yongxu Fu , Yi Zhang

The non-Hermitian Su-Schrieffer-Heeger spinless Fermion model with interacting terms is studied by exact diagonalization. The model is derived from the spin chain with damping Dzyaloshinskii-Moriya interaction. The presence of the…

强关联电子 · 物理学 2020-01-06 Ma Luo

Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

量子物理 · 物理学 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

Non-hermitian quantum systems can exhibit spectral degeneracies known as exceptional points, where two or more eigenvectors coalesce, leading to a non-diagonalizable Jordan block. It is known that symmetries can enhance the abundance of…

量子物理 · 物理学 2022-11-15 Robin Schäfer , Jan C. Budich , David J. Luitz

We show that in a generic, ergodic quantum many-body system the interactions induce a non-trivial topology for an arbitrarily small non-hermitean component of the Hamiltonian. This is due to an exponential-in-system-size proliferation of…

量子物理 · 物理学 2019-11-06 David J. Luitz , Francesco Piazza

The study of topological states has developed rapidly in electric circuits, which permits flexible fabrications of non-Hermitian systems by introducing non-Hermitian terms. Here, nonreciprocal coupling terms are realized by utilizing a…

介观与纳米尺度物理 · 物理学 2023-10-17 Bin Liu , Yang Li , Bin Yang , Xiaopeng Shen , Yuting Yang , Zhi Hong Hang , Motohiko Ezawa

In contrast with extended Bloch waves, a single particle can become spatially localized due to the so-called skin effect originating from non-Hermitian pumping. Here we show that in kinetically-constrained many-body systems, the skin effect…

量子气体 · 物理学 2024-09-04 Ruizhe Shen , Fang Qin , Jean-Yves Desaules , Zlatko Papić , Ching Hua Lee

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of…

偏微分方程分析 · 数学 2023-06-28 Habib Ammari , Silvio Barandun , Jinghao Cao , Bryn Davies , Erik Orvehed Hiltunen

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 effects are conventionally manifested as boundary localization of eigenstates in linear systems. In nonlinear settings, however, where eigenstates are no longer well defined, it becomes unclear how skin effects should be…

介观与纳米尺度物理 · 物理学 2026-01-08 Shu Hamanaka

The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that…

介观与纳米尺度物理 · 物理学 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

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…

介观与纳米尺度物理 · 物理学 2025-02-27 Shu Hamanaka , Askar A. Iliasov , Titus Neupert , Tomáš Bzdušek , Tsuneya Yoshida

The non-Hermitian skin effect (NHSE), a hallmark of non-Hermitian systems, stems from the topological nature of complex energy spectra, typically characterized by a non-zero spectral winding number. Beyond the spinless frameworks considered…

介观与纳米尺度物理 · 物理学 2025-09-26 Moirangthem Sanahal , Subhasis Panda , Snehasish Nandy

We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green functions, we outline…

介观与纳米尺度物理 · 物理学 2020-02-12 Dan S. Borgnia , Alex Jura Kruchkov , Robert-Jan Slager

Certain non-Hermitian systems exhibit the skin effect, whereby the wavefunctions become exponentially localized at one edge of the system. Such exponential amplification of wavefunction has received significant attention due to its…

量子物理 · 物理学 2024-03-26 Haowei Xu , Uroš Delić , Guoqing Wang , Changhao Li , Paola Cappellaro , Ju Li

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…

强关联电子 · 物理学 2024-10-01 Jacopo Gliozzi , Giuseppe De Tomasi , Taylor L. Hughes

We describe a diagrammatic technique for non-Hermitian fermionic systems that is applicable in the steady state, and which allows addressing correlations effects by systematic expansion. Applying this method to exceptional points or rings,…

介观与纳米尺度物理 · 物理学 2020-01-29 Johan Carlström

Recently, many novel and exotic phases have been proposed by considering the role of topology in non-Hermitian systems, and their emergent properties are of wide current interest. In this work we propose the non-Hermitian generalization of…

介观与纳米尺度物理 · 物理学 2021-10-12 Ayan Banerjee , Awadhesh Narayan
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