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The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked `non-Hermitian skin effect' necessitates redefinition of topological invariants in a generalized…

介观与纳米尺度物理 · 物理学 2018-09-07 Shunyu Yao , Zhong Wang

Skin effect, where macroscopically many bulk states are aggregated towards the system boundary, is one of the most important and distinguishing phenomena in non-Hermitian quantum systems. We discuss a new aspect of this effect whereby,…

介观与纳米尺度物理 · 物理学 2021-12-17 Ming Lu , Xiao-Xiao Zhang , Marcel Franz

In this paper, we establish an effective edge theory to characterize non-Hermitian edge-skin modes in higher dimensions. We begin by proposing a bulk projection criterion to straightforwardly identify the localized edges of skin modes.…

介观与纳米尺度物理 · 物理学 2024-04-16 Kai Zhang , Zhesen Yang , Kai Sun

The non-Hermitian skin effect (NHSE), which drives bulk states toward system boundaries, modifies bulk-boundary correspondence and complicates the identification of topological edge modes. Although breaking translational symmetry is known…

强关联电子 · 物理学 2026-03-25 F. Iwase

We investigate a non-Hermitian model featuring non-reciprocal gradient hoppings. Through an in-depth analysis of the Liouvillian spectrum and dynamics, we confirm the emergence of the Liouvillian skin effect resulting from the…

量子物理 · 物理学 2023-09-21 Zeqing Wang , Yao Lu , Yi Peng , Ran Qi , Yucheng Wang , Jianwen Jie

Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written in many different ways, including in terms of Green's…

介观与纳米尺度物理 · 物理学 2011-09-29 Andrew M. Essin , Victor Gurarie

In the field of dissipative systems, the non-Hermitian skin effect has generated significant interest due to its unexpected implications. A system is said to exhibit a skin effect if its properties are largely affected by the boundary…

量子物理 · 物理学 2025-04-14 Antonio Sannia , Gian Luca Giorgi , Stefano Longhi , Roberta Zambrini

Topological media are gapped or gapless fermionic systems, whose properties are protected by topology, and thus are robust to deformations of parameters of the system and generic. We discuss the class of gapless topological media, which…

超导电性 · 物理学 2015-09-30 G. E. Volovik

We establish non-Hermitian topological mechanics in one dimensional (1D) and two dimensional (2D) lattices consisting of mass points connected by meta-beams that lead to odd elasticity. Extended from the "non-Hermitian skin effect" in 1D…

软凝聚态物质 · 物理学 2020-05-19 Di Zhou , Junyi Zhang

In this paper, we investigate the non-Hermitian skin effect in a semi-infinite Fock-state lattice, where the inherent coupling scales as \sqrt{n}. By analytically solving a non-uniform, non-reciprocal SSH model, we demonstrate that the…

量子物理 · 物理学 2026-01-21 Zhi Jiao Deng , Xing Yao Mi , Ruo Kun Cai , Chun Wang Wu , Ping Xing Chen

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…

强关联电子 · 物理学 2024-08-16 Tsuneya Yoshida , Song-Bo Zhang , Titus Neupert , Norio Kawakami

A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian…

量子物理 · 物理学 2022-04-14 Stefano Longhi

Within the expanding field of non-Hermitian physics, non-Hermitian pumping has emerged as a key phenomenon, epitomized through the skin effect via extensive boundary mode accumulation modifying the conventional Bloch picture. Beyond…

介观与纳米尺度物理 · 物理学 2020-09-02 Ching Hua Lee , Linhu Li , Ronny Thomale , Jiangbin Gong

Multimode nonlinear optical systems are highly valued for their ability to withstand large amounts of optical power, transmit data with high bandwidth, perform physical computations, generate quantum correlations, and much more. For many of…

量子物理 · 物理学 2025-03-17 Jamison Sloan , Sachin Vaidya , Nicholas Rivera , Marin Soljačić

Dynamical quantum phase transitions occur when a dynamical free energy becomes non-analytic at critical \emph{times}. They have been shown to exist in, among other systems, topological insulators and superconductors. Additionally in both…

统计力学 · 物理学 2025-08-18 Tomasz Masłowski , Jesko Sirker , Nicholas Sedlmayr

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

A topological measure characterizing symmetry-protected topological phases in one-dimensional open fermionic systems is proposed. It is built upon the kinematic approach to the geometric phase of mixed states and facilitates the extension…

量子物理 · 物理学 2020-05-20 Da-Jian Zhang , Jiangbin Gong

Non-Hermitian quantum systems exhibit fascinating characteristics such as non-Hermitian topological phenomena and skin effect, yet their studies are limited by the intrinsic difficulties associated with their eigenvalue problems, especially…

介观与纳米尺度物理 · 物理学 2024-01-23 Guang Yang , Yongkang Li , Yongxu Fu , Zhenduo Wang , Yi Zhang

The Fock space of a system of indistinguishable particles is isomorphic (in a non-unique way) to the state-space of a composite i.e., many-modes, quantum system. One can then discuss quantum entanglement for fermionic as well as bosonic…

量子物理 · 物理学 2009-11-07 P. Zanardi

The fundamental concept underlying topological phenomena posits the geometric phase associated with eigenstates. In contrast to this prevailing notion, theoretical studies on time-varying Hamiltonians allow for a new type of topological…

量子物理 · 物理学 2025-11-27 Pengfei Lu , Yang Liu , Qifeng Lao , Teng Liu , Xinxin Rao , Ji Bian , Hao Wu , Feng Zhu , Le Luo