Back to Search
Start Over
One-Dimensional Quasiperiodic Mosaic Lattice with Exact Mobility Edges
- Source :
- Physical Review Letters. 125
- Publication Year :
- 2020
- Publisher :
- American Physical Society (APS), 2020.
-
Abstract
- The mobility edges (MEs) in energy which separate extended and localized states are a central concept in understanding the localization physics. In one-dimensional (1D) quasiperiodic systems, while MEs may exist for certain cases, the analytic results which allow for an exact understanding are rare. Here we uncover a class of exactly solvable 1D models with MEs in the spectra, where quasiperiodic on-site potentials are inlaid in the lattice with equally spaced sites. The analytical solutions provide the exact results not only for the MEs, but also for the localization and extended features of all states in the spectra, as derived through computing the Lyapunov exponents from Avila's global theory, and also numerically verified by calculating the fractal dimension. We further propose a novel scheme with experimental feasibility to realize our model based on an optical Raman lattice, which paves the way for experimental exploration of the predicted exact ME physics.<br />To appear in PRL
- Subjects :
- Physics
FOS: Physical sciences
General Physics and Astronomy
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Lyapunov exponent
Condensed Matter - Disordered Systems and Neural Networks
01 natural sciences
Fractal dimension
Spectral line
symbols.namesake
Exact results
Quasiperiodic function
Lattice (order)
0103 physical sciences
symbols
Global theory
Statistical physics
010306 general physics
Subjects
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 125
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....cac4f9ecee8b736b49d09a08e0fcbeb4