非线性Rice-Mele模型的异常体-边对应
Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
AI总结：
本文将体-边对应研究从线性系统扩展到内禀非线性Rice-Mele模型，通过数值求解识别两类非线性本征值，并基于辅助非线性本征值提出异常体-边对应概念，为理解拓扑与非线性相互作用提供新视角。
摘要：
体-边对应（BEC）是拓扑物理学领域的一个基本概念，它阐明了表征体态的拓扑不变量与涌现边缘态之间的深刻相互作用。该研究方向近期的一个亮点是，通过引入辅助本征值，在线性哈密顿量中建立了本征值非线性下的BEC [T. Isobe et al., Phys. Rev. Lett. 132, 126601 (2024)]。本工作的目的是扩展Isobe的分析，以揭示内禀非线性哈密顿量中本征值非线性的BEC。为实现这一目标，我们数值求解非线性Rice-Mele（RM）模型，并识别出两种不同类型的非线性本征值：内禀非线性本征值，以及通过引入辅助本征值而产生的本征值非线性。此外，我们基于这些辅助非线性本征值建立了一种新形式的BEC，我们称之为非线性物理系统的异常BEC。本文所定义的异常BEC概念为在BEC语境下理解拓扑与非线性之间错综复杂的相互作用提供了一个新的视角。
英文摘要：
Bulk-edge correspondence (BEC) constitutes a fundamental concept within the domain of topological physics, elucidating the profound interplay between the topological invariants that characterize the bulk states and the emergent edge states. A recent highlight along this research line consists of establishing BEC under the eigenvalue's nonlinearity in a linear Hamiltonian by introducing auxiliary eigenvalues [\href{https://doi.org/10.1103/PhysRevLett.132.126601}{ T. Isobe {\it et al.,} Phys. Rev. Lett. 132, 126601 (2024)}]. The purpose of this work aims to extend Isobe's analysis to uncover BEC of eigenvalue's nonlinearity in intrinsic nonlinear Hamiltonians. To achieve this, we numerically solve the nonlinear Rice-Mele (RM) model and identify two distinct types of nonlinear eigenvalues: the intrinsically nonlinear eigenvalues and the eigenvalue's nonlinearity introduced through the incorporation of auxiliary eigenvalues. Furthermore, we establish a novel form of BEC based on these auxiliary nonlinear eigenvalues, which we term the anomalous BEC of a nonlinear physical system. The concept of the anomalous BEC defined herein provides a novel perspective on the intricate interplay between topology and nonlinearity in the context of BEC.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
