非厄米系统缺陷局部化转换的二尺度有效模型

IF 3.7 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review B Pub Date : 2025-01-06 DOI:10.1103/physrevb.111.035109

B. Davies, S. Barandun, E. O. Hiltunen, R. V. Craster, H. Ammari

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引用次数: 0

摘要

我们阐明了非厄米集肤效应和缺陷局部化之间转变的基本机制。我们研究了一个具有非互易耦合的哈密顿量，它表现出集肤效应（所有特征向量在一个边缘的局部化），并在中心添加了一个现场缺陷。使用双尺度渐近方法，我们描述了特征向量的长尺度增长和衰减，并推导了一个简单直观的有效模型，用于当缺陷足够大时，其中一个模态定位在缺陷位置，而不是在系统边缘时发生的转变。2025年由美国物理学会出版

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Two-scale effective model for defect-induced localization transitions in non-Hermitian systems

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 nonreciprocal couplings that exhibits the skin effect (the localization of all eigenvectors at one edge) and add an on-site defect in the center. Using a two-scale asymptotic method, we characterize the long-scale growth and decay of the eigenvectors and derive a simple and intuitive effective model for the transition that occurs when the defect is sufficiently large that one of the modes is localized at the defect site, rather than at the edge of the system.

Published by the American Physical Society

2025

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来源期刊

Physical Review B 物理-物理：凝聚态物理

CiteScore

6.70

自引率

32.40%

发文量

审稿时长

3.0 months

期刊介绍： Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter