Phononic metamaterials comprising atomically disordered resonators
Phononic metamaterials and methods for reducing the group velocities and the thermal conductivity in at least partially crystalline base material are provided, such as for thermoelectric energy conversion. In one implementation, a method for reducing thermal conductivity through an at least partially crystalline base material is provided. In another implementation, a phononic metamaterial structure is provided. The phononic metamaterial structure in this implementation includes: an at least partially crystalline base material configured to allow a plurality of phonons to move to provide thermal conduction through the base material; and at least one disordered (e.g., amorphous) material coupled (e.g., as an inclusion, extending substructure, outer matrix, a coating to heavy inner inclusion, etc.) to the at least partially crystalline base material. The at least one disordered material is configured to generate at least one vibration mode by the oscillation of at least one atom within the disordered material to interact with the plurality of phonons moving within the base material and slow group velocities of at least a portion of the interacting phonons and reduce thermal conductivity through the base material.
1. A method for reducing thermal conductivity through an at least partially crystalline base material, the method comprising:
generating a plurality of local vibration modes by oscillation of at least one atom within at least one of:
an inclusion comprising an atomically disordered material disposed within the at least partially crystalline base material; and
a substructure comprising at least one atomically disordered material and extending from a surface of the at least partially crystalline base material; and
interacting at least one of the local vibration modes created by the inclusion or extending substructure with a plurality of phonons moving within the base material slowing group velocities of at least a portion of the interacting phonons.
2. The method of claim 1 wherein the plurality of local vibration modes interact with an underlying lattice dispersion of the at least partially crystalline base material and the interaction of the at least one vibration mode and the plurality of phonons reduce the group velocities of the at least a portion of the interacting phonons at and near a coupling in a frequency between each of the vibration modes and the plurality of phonons.
3. The method of claim 1 wherein the atomically disordered material of the at least one inclusion or the extending substructure comprises at least one amorphous material.
4. The method of claim 1 wherein the at least one inclusion comprises at least one amorphous material disposed within the at least partially crystalline base material.
5. The method of claim 1 wherein the at least partially crystalline base material comprises a plurality of repeated unit cells, each repeated unit cell having at least one inclusion or extending substructure comprising the atomically disordered material.
6. The method of claim 1 wherein the plurality of inclusions of atomically disordered material are disposed randomly within the at least partially crystalline base material.
7. The method of claim 1 wherein the base material comprises at least one transport region relatively free of barriers to electron flow through the base material.
8. The method of claim 1 wherein the extending substructures comprise one or more of the group comprising: a layer, pillar, wall, plate or ring.
9. The method of claim 1 wherein the base material and inclusion or extending substructure are surrounded at least in part by an outer matrix to provide a bulk thermoelectric material.
10. The method of claim 1 wherein the inclusion comprises an internal inclusion disposed within the inclusion comprising the atomically disordered material.
11. A phononic metamaterial structure comprising:
an at least partially crystalline base material configured to allow a plurality of phonons to move to provide thermal conduction through the base material;
at least one of:
an inclusion of disordered material disposed within the at least partially crystalline base material, and
a substructure comprising atomically disordered material extending from the at least partially crystalline base material;
wherein the at least one inclusion or extending substructure is configured to generate at least one vibration mode by oscillation of at least one atom within at least one of the inclusion or extending substructure to interact with the plurality of phonons moving within the base material and slow group velocities of at least a portion of the interacting phonons.
12. The phononic metamaterial structure of claim 11 wherein the plurality of local vibration modes interact with an underlying lattice dispersion of the at least partially crystalline base material and the interaction of the at least one vibration mode and the plurality of phonons reduce the group velocities of the at least a portion of the interacting phonons at or near a coupling in a frequency between the vibration modes and the plurality of phonons.
13. The phononic metamaterial structure of claim 11 wherein the at least one inclusion or extending substructure of atomically disordered material comprises at least one amorphous material.
14. The phononic metamaterial structure of claim 11 wherein the at least one inclusion comprises at least one amorphous material disposed within the at least partially crystalline base material.
15. The phononic metamaterial structure of claim 11 wherein the at least partially crystalline base material comprises a plurality of repeated unit cells, each repeated unit cell having at least one inclusion or extending substructure of atomically disordered material.
16. The phononic metamaterial structure of claim 11 wherein the plurality of inclusions of atomically disordered material are disposed randomly within the at least partially crystalline base material.
17. The phononic metamaterial structure of claim 11 wherein the extending substructures comprise one or more of the group comprising: a layer, pillar, wall, plate or ring.
18. The phononic metamaterial structure of claim 11 wherein the base material comprises at least one transport region relatively free of barriers to electron flow through the base material.
19. The phononic metamaterial structure of claim 11 wherein the metamaterial comprises at least one inclusion of disordered material disposed within the base material and at least extending substructure of disordered material juxtaposed to the base material.
20. The phononic metamaterial structure of claim 11 wherein the inclusion comprises the atomically disordered material and a substructure extending from a surface of the at least partially crystalline base material comprises an at least partially crystalline material.
21. The phononic metamaterial structure of claim 11 wherein the base material and inclusion or extending substructure are surrounded at least in part by an outer matrix to provide a bulk thermoelectric material.
22. The phononic metamaterial structure of claim 21 wherein the outer matrix comprises an atomically disordered material adapted to provide a plurality of local vibration modes by oscillation of at least one atom within the atomically disordered material of the outer matrix.
23. The phononic metamaterial structure of claim 11 wherein the inclusion comprises an internal inclusion disposed within the inclusion comprising the atomically disordered material.