Exactly Solvable Mobility Edges for Phonons in One-Dimensional Quasiperiodic Chains
Mobility edges, which demarcate the boundary between extended and localized states, are fundamental to understanding the physics of localization in condensed matter systems. Systems exhibiting exact mobility edges are rare, and the localization properties of phonons have received limited prior investigation. In this work, we reveal analytical mobility edges in one-dimensional quasiperiodic-modulated spring-mass chains. The mobility edges are exactly solved and numerically validated through the eigenfrequency spectra, inverse/normalized participation ratios, and lattice wave dynamics. Our research demonstrates the Anderson localization transition in phonon systems, paving the way for experimental observations of phonon localization.
Authors
- Yizhi Hu (ORCID: https://orcid.org/0009-0009-3291-8629)
- Kun Yan (ORCID: https://orcid.org/0009-0002-5935-7162)
- Xiaobin Chen (ORCID: https://orcid.org/0000-0001-5761-5020)
- Yong Xu (ORCID: https://orcid.org/0000-0002-4844-2460)
- Wei-Hua Xiao (ORCID: https://orcid.org/0000-0002-1590-8383)
Institutions
- Shanxi University (CN)
- Harbin Institute of Technology (CN)
- Tencent (China) (CN)
- RIKEN Center for Emergent Matter Science (JP)
- Shanxi University of Traditional Chinese Medicine (CN)
- Beijing Academy of Quantum Information Sciences (CN)
- State Key Laboratory of Low-Dimensional Quantum Physics
- Ministry of Industry and Information Technology (CN)
- Tsinghua University (CN)
Publication Details
- Journal
- Nano Letters
- Published
- 2025-02-03
- DOI
- https://doi.org/10.1021/acs.nanolett.4c05346
- Citations
- 2
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- article
- Field-Weighted Citation Impact
- 1.04
Funders
- National Natural Science Foundation of China
- Science, Technology and Innovation Commission of Shenzhen Municipality