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相关论文: Electronic polarization in non-Bloch band theory

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Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an exponential sensitivity to boundary conditions and an extensive number of edge-localized states in systems with open boundaries, a phenomena dubbed the…

无序系统与神经网络 · 物理学 2021-04-14 Jahan Claes , Taylor L. Hughes

We investigate non-Hermitian elastic lattices characterized by non-local feedback control interactions. In one-dimensional lattices, we show that the proportional control interactions produce complex dispersion relations characterized by…

介观与纳米尺度物理 · 物理学 2020-06-24 Matheus I. N. Rosa , Massimo Ruzzene

Non-Hermiticity can vary the topology of system, induce topological phase transition, and even invalidate the conventional bulk-boundary correspondence. Here, we show the introducing of non-Hermiticity without affecting the topological…

介观与纳米尺度物理 · 物理学 2019-07-30 K. L. Zhang , H. C. Wu , L. Jin , Z. Song

We discuss an extension of the Resta's electronic polarization to non-Hermitian systems with periodic boundary conditions. We introduce the ``electronic polarization'' as an expectation value of the exponential of the position operator in…

强关联电子 · 物理学 2022-03-07 Shohei Masuda , Masaaki Nakamura

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

Topological semimetals exhibit protected band crossings in momentum space, accompanied by corresponding surface states. Non-Hermitian Hamiltonians introduce geometry-sensitive features that dissolve this bulk-boundary correspondence…

介观与纳米尺度物理 · 物理学 2025-06-18 Megan Schoenzeit , Chang Shu , Kai Zhang , Kai Sun

Non-Hermitian Hamiltonians are generally sensitive to boundary conditions, and their spectra and wave functions under open boundary conditions are not necessarily predicted by the Bloch band theory for periodic boundary conditions. To…

介观与纳米尺度物理 · 物理学 2020-06-01 Kohei Kawabata , Nobuyuki Okuma , Masatoshi Sato

Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a…

介观与纳米尺度物理 · 物理学 2023-08-03 Frank Schindler , Kaiyuan Gu , Biao Lian , Kohei Kawabata

Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comprise two areas of intense current research. Here we…

介观与纳米尺度物理 · 物理学 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz

We study the non-Hermitian topology of multi-terminal transport in a quantum spin-Hall device described by the Bernevig-Hughes-Zhang model. We show that breaking time-reversal symmetry alone does not imply non-reciprocal transport or a…

介观与纳米尺度物理 · 物理学 2026-02-13 Raghav Chaturvedi , Ion Cosma Fulga , Jeroen van den Brink , Ewelina M. Hankiewicz

A scenario of non-Hermitian bulk--boundary correspondence proposed for one-dimensional topological insulators is adapted to a non-Hermitian Chern insulator to examine its applicability to two-dimensional systems. This scenario employs bulk…

介观与纳米尺度物理 · 物理学 2021-03-02 Yositake Takane

The present work addresses the distinction between the topological properties of PT symmetric and non-PT symmetric scenarios for the non-Hermitian Su-Schrieffer-Heeger (SSH) model. The non-PT symmetric case is represented by non-reciprocity…

量子物理 · 物理学 2023-01-02 Dipendu Halder , Sudin Ganguly , Saurabh Basu

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 generalizations of the Su-Schrieffer-Heeger (SSH) models with higher periods of the hopping coefficients, called the SSH3 and SSH4 models, are analyzed. The conventional construction of the winding number fails for the…

量子气体 · 物理学 2020-12-30 Yan He , Chih-Chun Chien

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of…

强关联电子 · 物理学 2022-02-16 Weitao Chen , Liangtao Peng , Hantao Lu , Xiancong Lu

In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry breaking phase transitions in…

量子物理 · 物理学 2019-09-18 Stefano Longhi

Non-Hermitian topological systems have attracted a lot of research activities in recent times, both theoretically and experimentally, due to their unique physical properties and association with open quantum systems. We show that modular…

量子物理 · 物理学 2026-05-29 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abolfazl Bayat

The conventional bulk-boundary correspondence breaks down in non-Hermitian systems. In this paper, we reestablish the bulk-boundary correspondence in one-dimensional non-Hermitian systems by applying the scattering theory, which is a…

量子物理 · 物理学 2023-02-15 Haoshu Li , Qian Niu

Non-Hermitian systems can exhibit extraordinary sensitivity to boundary conditions. Given that topological boundary modes and non-Hermitian skin effects can either coexist or individually appear in non-Hermitian systems, it is of great…

量子物理 · 物理学 2024-02-27 Xintong Zhang , Jing Li

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

介观与纳米尺度物理 · 物理学 2024-05-24 Dipendu Halder , Saurabh Basu