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Radiative heat transfer in the extreme near field

Nature volume 528, pages 387–391 (2015)Cite this article

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Abstract

Radiative transfer of energy at the nanometre length scale is of great importance to a variety of technologies including heat-assisted magnetic recording1, near-field thermophotovoltaics2 and lithography3. Although experimental advances have enabled elucidation of near-field radiative heat transfer in gaps as small as 20–30 nanometres (refs 4, 5, 6), quantitative analysis in the extreme near field (less than 10 nanometres) has been greatly limited by experimental challenges. Moreover, the results of pioneering measurements7,8 differed from theoretical predictions by orders of magnitude. Here we use custom-fabricated scanning probes with embedded thermocouples9,10, in conjunction with new microdevices capable of periodic temperature modulation, to measure radiative heat transfer down to gaps as small as two nanometres. For our experiments we deposited suitably chosen metal or dielectric layers on the scanning probes and microdevices, enabling direct study of extreme near-field radiation between silica–silica, silicon nitride–silicon nitride and gold–gold surfaces to reveal marked, gap-size-dependent enhancements of radiative heat transfer. Furthermore, our state-of-the-art calculations of radiative heat transfer, performed within the theoretical framework of fluctuational electrodynamics, are in excellent agreement with our experimental results, providing unambiguous evidence that confirms the validity of this theory11,12,13 for modelling radiative heat transfer in gaps as small as a few nanometres. This work lays the foundations required for the rational design of novel technologies that leverage nanoscale radiative heat transfer.

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Figure 1: Experimental set-up and SEM images of SThM probes and suspended microdevices.
Figure 2: Detection of mechanical contact from deflection and temperature signals.
Figure 3: Measured extreme near-field thermal conductances for dielectric and metal surfaces.
Figure 4: Spectral conductance and spatial distribution of the Poynting flux.

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References

  1. Challener, W. A. et al. Heat-assisted magnetic recording by a near-field transducer with efficient optical energy transfer. Nature Photon. 3, 220–224 (2009)

    Article  CAS  ADS  Google Scholar 

  2. Basu, S., Zhang, Z. M. & Fu, C. J. Review of near-field thermal radiation and its application to energy conversion. Int. J. Energy Res. 33, 1203–1232 (2009)

    Article  CAS  Google Scholar 

  3. Pendry, J. B. Radiative exchange of heat between nanostructures. J. Phys. Condens. Matter 11, 6621–6633 (1999)

    Article  CAS  ADS  Google Scholar 

  4. Shen, S., Narayanaswamy, A. & Chen, G. Surface phonon polaritons mediated energy transfer between nanoscale gaps. Nano Lett. 9, 2909–2913 (2009)

    Article  CAS  ADS  Google Scholar 

  5. Rousseau, E. et al. Radiative heat transfer at the nanoscale. Nature Photon. 3, 514–517 (2009)

    Article  CAS  ADS  Google Scholar 

  6. Song, B. et al. Enhancement of near-field radiative heat transfer using polar dielectric thin films. Nature Nanotechnol. 10, 253–258 (2015)

    Article  CAS  ADS  Google Scholar 

  7. Kittel, A. et al. Near-field heat transfer in a scanning thermal microscope. Phys. Rev. Lett. 95, 224301–224304 (2005)

    Article  ADS  Google Scholar 

  8. Worbes, L., Hellmann, D. & Kittel, A. Enhanced near-field heat flow of a monolayer dielectric island. Phys. Rev. Lett. 110, 134302 (2013)

    Article  ADS  Google Scholar 

  9. Kim, K., Jeong, W., Lee, W. & Reddy, P. Ultra-high vacuum scanning thermal microscopy for nanometer resolution quantitative thermometry. ACS Nano 6, 4248–4257 (2012)

    Article  CAS  Google Scholar 

  10. Lee, W. et al. Heat dissipation in atomic-scale junctions. Nature 498, 209–212 (2013)

    Article  CAS  ADS  Google Scholar 

  11. Rytov, S. M. Theory of Electric Fluctuations and Thermal Radiation (Air Force Cambrige Research Center, 1953)

  12. Joulain, K., Mulet, J.-P., Marquier, F., Carminati, R. & Greffet, J.-J. Surface electromagnetic waves thermally excited: radiative heat transfer, coherence properties and Casimir forces revisited in the near field. Surf. Sci. Rep. 57, 59–112 (2005)

    Article  CAS  ADS  Google Scholar 

  13. Rodriguez, A. W., Reid, M. T. H. & Johnson, S. G. Fluctuating-surface-current formulation of radiative heat transfer: theory and applications. Phys. Rev. B 88, 054305 (2013)

    Article  ADS  Google Scholar 

  14. Planck, M. & Masius, M. The Theory of Heat Radiation (P. Blakiston Son & Co, 1914)

  15. Song, B., Fiorino, A., Meyhofer, E. & Reddy, P. Near-field radiative thermal transport: From theory to experiment. AIP Adv. 5, 053503 (2015)

    Article  ADS  Google Scholar 

  16. Rytov, S. M., Kravtsov, Y. A. & Tatarskii, V. I. Principles of Statistical Radiophysics (Springer, 1989)

  17. Polder, D. & Hove, M. A. V. Theory of radiative heat transfer between closely spaced bodies. Phys. Rev. B 4, 3303–3314 (1971)

    Article  ADS  Google Scholar 

  18. Shen, S., Mavrokefalos, A., Sambegoro, P. & Chen, G. Nanoscale thermal radiation between two gold surfaces. Appl. Phys. Lett. 100, 233114 (2012)

    Article  ADS  Google Scholar 

  19. Altfeder, I., Voevodin, A. A. & Roy, A. K. Vacuum phonon tunneling. Phys. Rev. Lett. 105, 166101 (2010)

    Article  ADS  Google Scholar 

  20. Singer, F., Ezzahri, Y. & Joulain, K. Near field radiative heat transfer between two nonlocal dielectrics. J. Quant. Spectrosc. Radiat. Transf. 154, 55–62 (2015)

    Article  CAS  ADS  Google Scholar 

  21. Chiloyan, V., Garg, J., Esfarjani, K. & Chen, G. Transition from near-field thermal radiation to phonon heat conduction at sub-nanometre gaps. Nature Commun. 6, 6755 (2015)

    Article  CAS  ADS  Google Scholar 

  22. Kim, K. et al. Quantification of thermal and contact resistances of scanning thermal probes. Appl. Phys. Lett. 105, 203107 (2014)

    Article  ADS  Google Scholar 

  23. Wischnath, U. F., Welker, J., Munzel, M. & Kittel, A. The near-field scanning thermal microscope. Rev. Sci. Instrum. 79, 073708 (2008)

    Article  ADS  Google Scholar 

  24. Sadat, S., Meyhofer, E. & Reddy, P. Resistance thermometry-based picowatt-resolution heat-flow calorimeter. Appl. Phys. Lett. 102, 163110–163113 (2013)

    Article  ADS  Google Scholar 

  25. Rodriguez, A. W., Reid, M. T. H. & Johnson, S. G. Fluctuating-surface-current formulation of radiative heat transfer for arbitrary geometries. Phys. Rev. B 86, 220302 (2012)

    Article  ADS  Google Scholar 

  26. Reid, M. T. H. & Johnson, S. G. Efficient computation of power, force and torque in BEM scattering calculations. IEEE Trans. Antenn. Propag. 63, 3588–3598 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  27. Mulet, J. P., Joulain, K., Carminati, R. & Greffet, J. J. Enhanced radiative heat transfer at nanometric distances. Microscale Therm. Eng. 6, 209–222 (2002)

    Article  Google Scholar 

  28. Mulet, J. P., Joulain, K., Carminati, R. & Greffet, J. J. Nanoscale radiative heat transfer between a small particle and a plane surface. Appl. Phys. Lett. 78, 2931–2933 (2001)

    Article  CAS  ADS  Google Scholar 

  29. Chapuis, P. O., Volz, S., Henkel, C., Joulain, K. & Greffet, J. J. Effects of spatial dispersion in near-field radiative heat transfer between two parallel metallic surfaces. Phys. Rev. B 77, 035431 (2008)

    Article  ADS  Google Scholar 

  30. Jones, A. C. & Raschke, M. B. Thermal infrared near-field spectroscopy. Nano Lett. 12, 1475–1481 (2012)

    Article  CAS  ADS  Google Scholar 

  31. De Wilde, Y. et al. Thermal radiation scanning tunnelling microscopy. Nature 444, 740–743 (2006)

    Article  CAS  ADS  Google Scholar 

  32. Otey, C. R., Lau, W. T. & Fan, S. H. Thermal rectification through vacuum. Phys. Rev. Lett. 104, 154301 (2010)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

P.R. acknowledges support from US Department of Energy Basic Energy Sciences through a grant from the Scanning Probe Microscopy Division under award no. DE-SC0004871 (fabrication of scanning thermal probes). E.M. and P.R. acknowledge support from the Army Research Office under grant W911NF-12-1-0612 (fabrication of microdevices). P.R. acknowledges support from the Office of Naval Research under grant award no. N00014-13-1-0320 (instrumentation). E.M. and P.R. acknowledge support from the National Science Foundation under grant CBET 1235691 (thermal characterization). J.C.C. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness (MINECO) (contract no. FIS2014-53488-P) and the Comunidad de Madrid (contract no. S2013/MIT-2740) and V.F.-H. from “la Caixa” Foundation. F.J.G.-V. and J.F. acknowledge support from the European Research Council (ERC-2011-AdG Proposal No. 290981), the European Union Seventh Framework Programme (FP7-PEOPLE-2013-CIG-618229), and the Spanish MINECO (MAT2011-28581-C02-01 and MAT2014-53432-C5-5-R). The authors acknowledge the Lurie Nanofabrication Facility for facilitating the nanofabrication of devices.

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Author notes

  1. Kyeongtae Kim

    Present address: †Present address: Department of Mechanical Engineering and Robotics, Incheon National University, Incheon 22012, South Korea.,

  2. Kyeongtae Kim, Bai Song and Víctor Fernández-Hurtado: These authors contributed equally to this work.

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Michigan, Ann Arbor, 48109, Michigan, USA

    Kyeongtae Kim, Bai Song, Woochul Lee, Wonho Jeong, Longji Cui, Dakotah Thompson, Edgar Meyhofer & Pramod Reddy

  2. Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, Madrid, 28049, Spain

    Víctor Fernández-Hurtado, Johannes Feist, Francisco J. García-Vidal & Juan Carlos Cuevas

  3. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, 02139, Massachusetts, USA

    M. T. Homer Reid

  4. Donostia International Physics Center (DIPC), Donostia/San Sebastián, 20018, Spain

    Francisco J. García-Vidal

  5. Department of Materials Science and Engineering, University of Michigan, Ann Arbor, 48109, Michigan, USA

    Pramod Reddy

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  1. Kyeongtae Kim
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Contributions

The work was conceived by P.R., E.M., F.J.G.-V. and J.C.C. The experiments were performed by K.K., W.L., L.C. and B.S. under the supervision of E.M. and P.R. The devices were designed, fabricated and characterized by K.K., W.J., D.T. and B.S. Characterization of dielectric properties was performed by B.S. Modelling was performed by V.F.-H., J.F. and B.S. (with inputs from M.T.H.R.) under the supervision of F.J.G.-V. and J.C.C. The manuscript was written by J.C.C., E.M. and P.R. with comments and inputs from all authors.

Corresponding authors

Correspondence to Juan Carlos Cuevas, Edgar Meyhofer or Pramod Reddy.

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The authors declare no competing financial interests.

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This file contains Supplementary Text and Data 1-16, Supplementary Figures 1-15 and additional references. (PDF 11378 kb)

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Kim, K., Song, B., Fernández-Hurtado, V. et al. Radiative heat transfer in the extreme near field. Nature 528, 387–391 (2015). https://doi.org/10.1038/nature16070

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