Localization properties of harmonic chains with correlated mass and spring disorder: Analytical approach
arXiv:2210.12561 · doi:10.1103/PhysRevE.107.034108
Abstract
We study the localization properties of normal modes in harmonic chains with mass and spring weak disorder. Using a perturbative approach, an expression for the localization length is obtained, which is valid for arbitrary correlations of the disorder, and for practically the whole frequency band. In addition, we show how to generate effective mobility edges by the use of disorder with long range self-correlations and cross-correlations. Finally, the transport of phonons is also analyzed showing effective transparent windows that can be manipulated through the disorder correlations even for relative short chain sizes. Our results may have applications in modulating thermal transport, particularly in the design of thermal filters or in manufacturing high-thermal-conductivity materials.
arXiv comment10 pages, 6 figures
References in corpus (20)
- Thermal conduction in classical low-dimensional lattices
- Heat Transport in low-dimensional systems
- Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Experimental observation of the mobility edge in a waveguide with correlated disorder
- Heat conduction in the disordered harmonic chain revisited
- Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach
- Classical Representation of the 1D Anderson Model
- Delocalization in harmonic chains with long-range correlated random masses
- Heat transport in ordered harmonic lattices
- Role of pinning potentials in heat transport through disordered harmonic chain
- Localization in one-dimensional chains with Lévy-type disorder
- Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
- Resonant enhancement of Anderson localization: Analytical approach
- Thermal conductivity in 1d: disorder-induced transition from anomalous to normal scaling
- Thermal conductance of one dimensional disordered harmonic chains
- Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder
- Transmission in waveguides with compositional and structural disorder: experimental effects of disorder cross-correlations
- Aspects of the disordered harmonic chain
- Thermal transport in disordered harmonic chains revisited: Formulation of thermal conductivity and local temperatures