Anderson localization of phonons in multi-branch mass-disordered systems
ORAL
Abstract
The Anderson localization (AL) of phonons in disordered media has been receiving increasing interest
due to potential impact on thermoelectric materials. However, despite extensive study, the influence of
the directional nature of phonons on the AL transition remains elusive. Recently, we have formulated the
typical medium cluster approach which allows to study the AL of phonons in multibranch systems.
Considering the model with three directions of lattice vibrations in the presence of mass disorder, we
have investigated the interplay of inter-branch mixing and diagonal disorder in the context of phonon
localization. We have validated the new formalism against several limiting cases and exact
diagonalization results. We have also contrasted the mechanism of AL for the single branch versus
multiple branch case, and elucidated the role of directional nature of phonon on AL.
due to potential impact on thermoelectric materials. However, despite extensive study, the influence of
the directional nature of phonons on the AL transition remains elusive. Recently, we have formulated the
typical medium cluster approach which allows to study the AL of phonons in multibranch systems.
Considering the model with three directions of lattice vibrations in the presence of mass disorder, we
have investigated the interplay of inter-branch mixing and diagonal disorder in the context of phonon
localization. We have validated the new formalism against several limiting cases and exact
diagonalization results. We have also contrasted the mechanism of AL for the single branch versus
multiple branch case, and elucidated the role of directional nature of phonon on AL.
*This work was supported by NSF DMR-1944974 grant. Part of this research was conducted at the Center for Nanophase Materials Sciences, which is a DOE Office of Science User Facility.
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Presenters
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Wasim R Mondal
- Middle Tennessee State University