Skip to main content

Lattice Specific Heat of Graphene Nanoribbons

  • Conference paper
Physics of Semiconductor Devices

Part of the book series: Environmental Science and Engineering ((ENVENG))

  • 167 Accesses

Abstract

The lattice specific heat, C L , of graphene nanoribbons (GNRs) is studied, based on the elastic continuum model. An expression for C L is obtained taking into account the modification of acoustic phonon dispersion due to spatial confinement. Considering the contributions from longitudinal, transverse, torsional and flexural acoustic phonon modes, numerical calculations of C L , as a function of temperature, are presented for T < 3,000 K. With increase in temperature, C L is found to increase up to T < 1,200 K and then tend to saturate to classical limit of 2,078 J/kgK at higher temperatures, the major contribution being from flexural modes. At low temperatures C L is found to decrease with increase in GNR width.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. A. H. Castro Neto et al, Rev. Mod. Phys. 81, 109 (2009).

    Article  Google Scholar 

  2. A. A. Balandin et al, Nano Lett, 8, 902(2008).

    Google Scholar 

  3. X. Li, X. Wang, L. Zhang, S. Lee and H. Dai, Science 319, 1229 (2008).

    Article  Google Scholar 

  4. E. Munoz, J. Lu and B. I. Yakobson, Nano Lett, 10, 1652 (2010).

    Google Scholar 

  5. A. Alofi and G. P. Srivastava, Phys. Rev. B, 87, 115421 (2013).

    Google Scholar 

  6. S. Zhang, M. Xia, S. Zhao, T Xu and E. Zhang. Phys. Rev. B., 68, 075414 (2003).

    Google Scholar 

  7. S. P. Hepplestone, A. M. Ciavarella, C. Janke and G. P. Srivastava, Surf Science, 600, 3633 (2006).

    Google Scholar 

  8. M. Xia, Y. Song and S. Zhang, Physics Letter A, 375, 3726 (2011).

    Google Scholar 

  9. V. N. Popov and V. E. Van Doren, Phys. Rev. B, 61, 3078 (2000).

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by UGC (India). One of the authors (ASN) acknowledges the award of UGC-RFSMS.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. S. Sankeshwar .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Nissimagoudar, A.S., Sankeshwar, N.S. (2014). Lattice Specific Heat of Graphene Nanoribbons. In: Jain, V., Verma, A. (eds) Physics of Semiconductor Devices. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-03002-9_135

Download citation

Publish with us

Policies and ethics