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Ballistic Thermal Conductance of Graphene Ribbons
Abstract
An elastic-shell-based theory for calculating the thermal conductance of graphene ribbons of arbitrary width w is presented. The analysis of vibrational modes of a continuum thin plate leads to a general equation for ballistic conductance sigma. At low temperature, it yields a power law sigma approximately T(beta), where the exponent beta varies with the ribbon width w from beta = 1 for a narrow ribbon (sigma approximately T, as a four-channel quantum wire) to beta = (3)/(2) (sigma approximately wT(3/2)) in the limit of wider graphene sheets. The ballistic results can be augmented by the phenomenological value of a phonon mean free path to account for scattering and agree well with the reported experimental observations.
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Cites
Superior Thermal Conductivity of Single-Layer Graphene
Balandin, A. A., Ghosh, S., Bao, W., Calizo, I., Teweldebrhan, D., Miao, F., & Lau, C. N. (2008) · Nano Letters · doi:10.1021/nl0731872 · Cited by 13,823
Electronic Transport in Mesoscopic Systems
Datta, S. (1995) · doi:10.1017/cbo9780511805776 · Cited by 7,704
Cited by
Thermal properties of graphene and nanostructured carbon materials
Balandin, A. A. (2011) · Nature Materials · doi:10.1038/nmat3064 · Cited by 6,244
Qiu, L., Zhu, N., Feng, Y., Michaelides, E. E., Żyła, G., Jing, D., Zhang, X., Norris, P. M., Markides, C. N., & Mahian, O. (2020) · Physics Reports · doi:10.1016/j.physrep.2019.12.001 · Cited by 523
Phonons and thermal transport in graphene and graphene-based materials
Nika, D. L., & Balandin, A. A. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/80/3/036502 · Cited by 359
Control of Thermal and Electronic Transport in Defect-Engineered Graphene Nanoribbons
Haskins, J., Kınacı, A., Sevik, C., Sevinçli, H., Cuniberti, G., & Çağın, T. (2011) · ACS Nano · doi:10.1021/nn200114p · Cited by 355
Two-dimensional phonon transport in graphene
Nika, D. L., & Balandin, A. A. (2012) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/24/23/233203 · Cited by 346
Metadata
- Authors
- Muñoz, E., Lu, J., & Yakobson, B. I.
- Venue
- Nano Letters
- Publisher
- American Chemical Society (ACS)
- Published
- 2010-04-19
- Volume
- 10
- Issue
- 5
- Pages
- 1652-1656
- ISSN
- 1530-6984 (ISSN-L)
- 1530-6992
- OpenAlex
- W2014041551
- Cited by
- 205
- References
- 2
- FWCI
- 10.04
- Type
- journal article
- Language
- en
- Open access
- closed
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- Muñoz, E., Lu, J., & Yakobson, B. I. (2010). Ballistic Thermal Conductance of Graphene Ribbons. Nano Letters. https://doi.org/10.1021/nl904206d
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
