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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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Citations
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
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Nika, D. L., & Balandin, A. A. (2012) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/24/23/233203 · Cited by 346
Ballistic to diffusive crossover of heat flow in graphene ribbons
Bae, M.-H., Li, Z., Aksamija, Z., Martin, P. N., Xiong, F., Ong, Z.-Y., Knezevic, I., & Pop, E. (2013) · Nature Communications · doi:10.1038/ncomms2755 · Cited by 332
Thermal and Thermoelectric Properties of Graphene
Xu, Y., Li, Z., & Duan, W. (2014) · Small · doi:10.1002/smll.201303701 · Cited by 300
Fadavi Boostani, A., Tahamtan, S., Jiang, Z. Y., Wei, D., Yazdani, S., Azari Khosroshahi, R., Taherzadeh Mousavian, R., Xu, J., Zhang, X., & Gong, D. (2015) · Composites Part A: Applied Science and Manufacturing · doi:10.1016/j.compositesa.2014.10.010 · Cited by 270
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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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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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