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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…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Bryn Davies , Silvio Barandun , Erik Orvehed Hiltunen , Richard V. Craster , Habib Ammari

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…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Helene Spring , Viktor Könye , Anton R. Akhmerov , Ion Cosma Fulga

We discover that the interplay between Hilbert space fragmentation and multiple non-Hermitian pumping channels leads to distinct non-Hermitian skin effect (NHSE) in real and Fock spaces. Using an extended Hatano-Nelson model with…

Quantum Gases · Physics 2025-04-10 Yi-An Wang , Linhu Li

The non-Hermitian skin effect (NHSE) fundamentally invalidates the conventional bulk-boundary correspondence (BBC), leading topological diagnostics into a crisis. While the non-Bloch polarization $P_{\beta}$ defined on the generalized…

Quantum Physics · Physics 2026-03-04 Xudong Zhang , Zhaoyu Sun , Bin Guo

We demonstrate that a correlated equilibrium $f$-electron system with time-reversal symmetry can exhibit a $\mathbb{Z}_2$ non-Hermitian skin effect of quasi-particles. In particular, we analyze a two-dimensional periodic Anderson model with…

Strongly Correlated Electrons · Physics 2023-05-30 Shin Kaneshiro , Tsuneya Yoshida , Robert Peters

We investigate the interplay between non-Hermitian skin effect (NHSE) and topological properties in two-dimensional topological superconductor. Two kinds of non-Hermiticity are considered. The first is the spin-independent non-reciprocal…

Superconductivity · Physics 2024-11-13 Hong Wang , Ming Lu , Jie Liu

We propose a novel type of skin effects in non-Hermitian quantum many-body systems which we dub a non-Hermitian Mott skin effect. This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap…

Strongly Correlated Electrons · Physics 2024-08-16 Tsuneya Yoshida , Song-Bo Zhang , Titus Neupert , Norio Kawakami

In this study, we systematically explore the non-Hermitian skin effect (NHSE) and its associated complex-frequency detection in the context of a frequency-dependent non-Hermitian Hamiltonian. This Hamiltonian arises from the self-energy…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Juntao Huang , Jiangping Hu , Zhesen Yang

In this paper, we study the conditions under which on-site dissipations can induce non-Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian has spinless time-reversal symmetry, it is impossible to have skin…

Mesoscale and Nanoscale Physics · Physics 2020-11-02 Yifei Yi , Zhesen Yang

The finding of non-Hermitian skin effect has revolutionized our understanding of non-Hermitian topological phases, where the usual bulk-boundary correspondence is broken and new topological phases specific to non-Hermitian system are…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Weiwei Zhu , Linhu Li

The energy bands of non-Hermitian systems exhibit nontrivial topological features that arise from the complex nature of the energy spectrum. Under periodic boundary conditions (PBC), the energy spectrum describes rather generally closed…

Quantum Physics · Physics 2022-07-26 Stefano Longhi

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

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding lattice with open edges. In this case, not only topological…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 C. Yuce

Non-Hermitian skin effect, which refers to the phenomenon that an extensive number of eigenstates are localized at the boundary, has been widely studied in lattice models and experimentally observed in several classical systems. In this…

Quantum Gases · Physics 2023-01-02 Sibo Guo , Chenxiao Dong , Fuchun Zhang , Jiangping Hu , Zhesen Yang

In spatially periodic Hermitian systems, such as electronic systems in crystals, the band structure is described by the band theory in terms of the Bloch wave functions, which reproduce energy levels for large systems with open boundaries.…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kazuki Yokomizo , Shuichi Murakami

The generalized Brillouin zone (GBZ), which is the core concept of the non-Bloch band theory to rebuild the bulk boundary correspondence in the non-Hermitian topology, appears as a closed loop generally. In this work, we find that even if…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Gang-Feng Guo , Xi-Xi Bao , Lei Tan

Systems with non-Hermitian skin effects are very sensitive to the imposed boundary conditions and lattice size, and thus an important question is whether non-Hermitian skin effects can survive when deviating from the open boundary…

Quantum Physics · Physics 2021-09-15 Cui-Xian Guo , Chun-Hui Liu , Xiao-Ming Zhao , Yanxia Liu , Shu Chen

We study the effect of quasiperiodic and periodic onsite potentials in a Hatano-Nelson model with next-nearest-neighbour hopping. By considering a non-reciprocal next-nearest-neighbour hopping and a quasiperiodic onsite potential under…

Quantum Gases · Physics 2024-03-12 Soumya Ranjan Padhi , Ashirbad Padhan , Sanchayan Banerjee , Tapan Mishra

We investigate the interplay between the non-Hermitian skin effect (NHSE), parity-time (PT) symmetry, and topological defect states in a finite non-Hermitian Su-Schrieffer-Heeger (SSH) chain. In the conventional NHSE regime, non-reciprocal…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Md Saddam Hossain Razo , Mansoor B. A. Jalil