Nonlinear breathers with crystalline symmetries
File(s)
Published version
Author(s)
Schindler, Frank
Bulchandani, Vir B
Benalcazar, Wladimir A
Type
Journal Article
Abstract
Nonlinear lattice models can support “discrete breather” excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and exponentially localized Wannier states are a central tool in the classification of band structures with crystalline symmetries. Moreover, the quantized transport observed in nonlinear Thouless pumps relies on the fact that—at least in a specific model—discrete breathers recover Wannier states in the limit of vanishing nonlinearity. Motivated by these observations, we investigate the correspondence between nonlinear breathers and exponentially localized Wannier states for a family of discrete nonlinear Schrödinger equations with crystalline symmetries. We develop a formalism to analytically predict the breathers' spectrum, center of mass and symmetry data, and apply this to nonlinear generalizations of the Su-Schrieffer-Heeger chain and the breathing kagome lattice.
Date Issued
2025-02-01
Date Acceptance
2025-02-12
Citation
Physical Review B: Condensed Matter and Materials Physics, 2025, 111 (6)
ISSN
1098-0121
Publisher
American Physical Society
Journal / Book Title
Physical Review B: Condensed Matter and Materials Physics
Volume
111
Issue
6
Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
License URL
Identifier
10.1103/PhysRevB.111.064312
Publication Status
Published
Article Number
064312
Date Publish Online
2025-02-25