Interplay between total thickness and period thickness in the phonon thermal conductivity of superlattices from the nanoscale to the microscale: Coherent versus incoherent phonon transport
Abstract
We report on the room temperature thermal conductivity of AlAs-GaAs superlattices (SLs), in which we systematically vary the period thickness and total thickness between $2--24\phantom{\rule{0.16em}{0ex}}\mathrm{nm}$ and $20.1--2,160\phantom{\rule{0.16em}{0ex}}\mathrm{nm}$, respectively. The thermal conductivity increases with the SL thickness and plateaus at a thickness around 200 nm, showing a clear transition from a quasiballistic to a diffusive phonon transport regime. These results demonstrate the existence of classical size effects in SLs, even at the highest interface density samples. We use harmonic atomistic Green's function calculations to capture incoherence in phonon transport by averaging the calculated transmission over several purely coherent simulations of independent SL with different random mixing at the AlAs-GaAs interfaces. These simulations demonstrate the significant contribution of incoherent phonon transport through the decrease in the transmission and conductance in the SLs as the number of interfaces increases. In spite of this conductance decrease, our simulations show a quasilinear increase in thermal conductivity with the superlattice thickness. This suggests that the observation of a quasilinear increase in thermal conductivity can have important contributions from incoherent phonon transport. Furthermore, this seemingly linear slope in thermal conductivity versus SL thickness data may actually be nonlinear when extended to a larger number of periods, which is a signature of incoherent effects. Indeed, this trend for superlattices with interatomic mixing at the interfaces could easily be interpreted as linear when the number of periods is small. Our results reveal that the change in thermal conductivity with period thickness is dominated by incoherent (particlelike) phonons, whose properties are not dictated by changes in the AlAs or GaAs phonon dispersion relations. This work demonstrates the importance of studying both period and sample thickness dependencies of thermal conductivity to understand the relative contributions of coherent and incoherent phonon transport in the thermal conductivity in SLs.
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A higher interface density generally reduces the Kz of superlattices due to the interface thermal resistance introduced by the periodic boundaries.
“A higher interface density generally reduces the Kz of superlattices (see Figure 6(c)) due to the interface thermal resistance introduced by the periodic boundaries. 79, 137”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [137]
The Kz of superlattices also depends on the total film thickness, indicating that a significant fraction of phonons can coherently transport across the interfaces and are only scattered by the film boundary.
“However, the Kz of superlattices was also found to depend on the total film thickness, as shown in Figure 6(d), indicating that a significant fraction of phonons can coherently transport across the interfaces and are only scattered by the film boundary. 27, 137”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [137]
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The effect of interface angle on the thermal conductivity of Si/Ge superlattices
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Effect of spatial coherence on phonon transmission at interfaces
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Progress in measuring, modeling, and manipulating thermal boundary conductance
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Phonon Interference Effects in GaAs-GaP Superlattice Nanowires
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- Authors
- Cheaito, R., Polanco, C. A., Addamane, S., Zhang, J., Ghosh, A. W., Balakrishnan, G., & Hopkins, P. E.
- Affiliations
- University of Virginia (US)
- University of New Mexico (US)
- Corresponding author
- Hopkins, Patrick E.
- ORCID
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2018-02-20
- Volume
- 97
- Issue
- 8
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2793859464
- Cited by
- 67
- References
- 63
- Citations by year
- 2026: 8 · 2025: 7 · 2024: 4 · 2023: 4 · 2022: 6 · 2021: 15 · 2020: 7 · 2019: 10 · 2018: 6
- FWCI
- 3.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Physical review. B./Physical review. B (publishedVersion)
- Funders
- Air Force Office of Scientific Research (FA9550-15-1-0079)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Civil and Structural Engineering › Thermal Radiation and Cooling Technologies
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Keywords
- lattice thermal conductivity, GaAs/AlAs superlattices, coherent phonon transport, phonon transmission, Green's function calculations, thermal conductance
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