0
Research Papers: Radiative Heat Transfer

Near-Field Radiative Heat Transfer Between Graphene/Silicon Carbide Multilayers

[+] Author and Article Information
Liang-Ying Zhong, Qi-Mei Zhao, Tian-Bao Yu, Qing-Hua Liao

Department of Physics,
Nanchang University,
Nanchang 330031, China

Tong-Biao Wang

Department of Physics,
Nanchang University,
Nanchang 330031, China
e-mail: tbwang@ncu.edu.cn

Nian-Hua Liu

Institute for Advanced Study,
Nanchang University,
Nanchang 330031, China

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 9, 2017; final manuscript received January 7, 2018; published online April 6, 2018. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 140(7), 072701 (Apr 06, 2018) (7 pages) Paper No: HT-17-1591; doi: 10.1115/1.4039221 History: Received October 09, 2017; Revised January 07, 2018

Hyperbolic metamaterial (HMM) alternately stacked by graphene and silicon carbide (SiC) is proposed to theoretically study near-field radiative heat transfer. Heat transfer coefficients (HTCs) are calculated using the effective medium theory (EMT). We observe that HMMs can exhibit better heat transfer characteristic than graphene-covered SiC bulks when appropriate SiC thickness and chemical potentials of graphene are selected. Transfer matrix method (TMM) is also employed to calculate HTC between HMMs with thicker SiC, given the invalidity of EMT in this case. We deduce that with increasing SiC thickness, HTC first increases rapidly and then decreases slowly when it reaches maximum value. HTC is high for graphene with small chemical potential. Results may benefit applications of thermophotovoltaic devices.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Ben-Abdallah, P. , and Biehs, S.-A. , 2014, “ Near-Field Thermal Transistor,” Phys. Rev. Lett., 112(4), p. 044301. [CrossRef] [PubMed]
Ilic, O. , Jablan, M. , Joannopoulos, J. D. , Celanovic, I. , and Soljačić, M. , 2012, “ Overcoming the Black Body Limit in Plasmonic and Graphene Near-Field Thermophotovoltaic Systems,” Opt. Express, 20(10), pp. A366–A384. [CrossRef] [PubMed]
Lim, M. , Jin, S. , Lee, S. S. , and Lee, B. J. , 2015, “ Graphene-Assisted Si-InSb Thermophotovoltaic System for Low Temperature Applications,” Opt. Express, 23(7), pp. A240–A253. [CrossRef] [PubMed]
Jin, S. , Lim, M. , Lee, S. S. , and Lee, B. J. , 2016, “ Hyperbolic Metamaterial-Based Near-Field Thermophotovoltaic System for Hundreds of Nanometer Vacuum Gap,” Opt. Express, 24(6), pp. A635–A649. [CrossRef] [PubMed]
Messina, R. , and Ben-Abdallah, P. , 2013, “ Graphene-Based Photovoltaic Cells for Near-Field Thermal Energy Conversion,” Sci. Rep., 3(1), p. 1383. [CrossRef] [PubMed]
Kittel, A. , Müller-Hirsch, W. , Parisi, J. , Biehs, S.-A. , Reddig, D. , and Holthaus, M. , 2005, “ Near-Field Heat Transfer in a Scanning Thermal Microscope,” Phys. Rev. Lett., 95(22), p. 224301. [CrossRef] [PubMed]
De Wilde, Y. , Formanek, F. , Carminati, R. , Gralak, B. , Lemoine, P. A. , Joulain, K. , Mulet, J. P. , Chen, Y. , and Greffet, J. J. , 2006, “ Thermal Radiation Scanning Tunnelling Microscopy,” Nature, 444(7120), pp. 740–743. [CrossRef] [PubMed]
Challener, W. A. , Peng, C. , Itagi, A. V. , Karns, D. , Peng, W. , Peng, Y. , Yang, X. , Zhu, X. , Gokemeijer, N. J. , Hsia, Y.-T. , Ju, G. , Rottmayer, R. E. , Seigler, M. A. , and Gage, E. C. , 2009, “ Heat-Assisted Magnetic Recording by a Near-Field Transducer With Efficient Optical Energy Transfer,” Nat. Photonics, 3(4), pp. 220–224. [CrossRef]
Stipe, B. C. , Strand, T. C. , Poon, C. C. , Balamane, H. , Boone, T. D. , Katine, J. A. , Li, J.-L. , Rawat, V. , Nemoto, H. , Hirotsune, A. , Hellwig, O. , Ruiz, R. , Dobisz, E. , Kercher, D. S. , Roberson, N. , Albrecht, T. R. , and Terris, B. D. , 2010, “ Magnetic Recording at 1.5 Pb m-2 Using an Integrated Plasmonic Antenna,” Nat. Photonics, 4(7), pp. 484–488. [CrossRef]
Dai, S. , Ma, Q. , Andersen, T. , Mcleod, A. S. , Fei, Z. , Liu, M. K. , Wagner, M. , Watanabe, K. , Taniguchi, T. , Thiemens, M. , Keilmann, F. , Jarillo-Herrero, P. , Fogler, M. M. , and Basov, D. N. , 2015, “ Subdiffractional Focusing and Guiding of Polaritonic Rays in a Natural Hyperbolic Material,” Nat. Commun., 6, p. 6963. [CrossRef] [PubMed]
Polder, D. , and Van Hove, M. , 1971, “ Theory of Radiative Heat Transfer Between Closely Spaced Bodies,” Phys. Rev. B, 4(10), pp. 3303–3314. [CrossRef]
Volokitin, A. I. , and Persson, B. N. J. , 2007, “ Near-Field Radiative Heat Transfer and Noncontact Friction,” Rev. Mod. Phys., 79(4), pp. 1291–1329. [CrossRef]
Biehs, S.-A. , Tschikin, M. , and Ben-Abdallah, P. , 2012, “ Hyperbolic Metamaterials as an Analog of a Blackbody in the Near Field,” Phys. Rev. Lett., 109(10), p. 104301. [CrossRef] [PubMed]
Kajihara, Y. , Kosaka, K. , and Komiyama, S. , 2011, “ Thermally Excited Near-Field Radiation and Far-Field Interference,” Opt. Express, 19(8), pp. 7695–7704. [CrossRef] [PubMed]
Liu, X. L. , Wang, L. P. , and Zhang, Z. M. , 2015, “ Near-Field Thermal Radiation: Recent Progress and Outlook,” Nanoscale Microscale Thermophys. Eng., 19(2), pp. 98–126. [CrossRef]
Lenert, A. , Bierman, D. M. , Nam, Y. , Chan, W. R. , Celanović, I. , Soljačić, M. , and Wang, E. N. , 2014, “ A Nanophotonic Solar Thermophotovoltaic Device,” Nat. Nanotechnol., 9(2), pp. 126–130. [CrossRef] [PubMed]
Ottens, R. S. , Quetschke, V. , Wise, S. , Alemi, A. A. , Lundock, R. , Mueller, G. , Reitze, D. H. , Tanner, D. B. , and Whiting, B. F. , 2011, “ Near-Field Radiative Heat Transfer Between Macroscopic Planar Surfaces,” Phys. Rev. Lett., 107, p. 014301. [CrossRef] [PubMed]
Francoeur, M. , Mengüç, M. P. , and Vaillon, R. , 2008, “ Near-Field Radiative Heat Transfer Enhancement Via Surface Phonon Polaritons Coupling in Thin Films,” Appl. Phys. Lett., 93(4), p. 043109. [CrossRef]
Basu, S. , Yang, Y. , and Wang, L. , 2015, “ Near-Field Radiative Heat Transfer Between Metamaterials Coated With Silicon Carbide Thin Films,” Appl. Phys. Lett., 106(3), p. 033106. [CrossRef]
Dai, J. , Dyakov, S. A. , and Yan, M. , 2015, “ Enhanced Near-Field Radiative Heat Transfer Between Corrugated Metal Plates: Role of Spoof Surface Plasmon Polaritons,” Phys. Rev. B, 92(3), p. 035419. [CrossRef]
Volokitin, A. I. , and Persson, B. N. J. , 2011, “ Near-Field Radiative Heat Transfer Between Closely Spaced Graphene and Amorphous SiO2,” Phys. Rev. B, 83(24), p. 241407. [CrossRef]
Svetovoy, V. B. , van Zwol, P. J. , and Chevrier, J. , 2012, “ Plasmon Enhanced Near-Field Radiative Heat Transfer for Graphene Covered Dielectrics,” Phys. Rev. B, 85(15), p. 155418. [CrossRef]
Ilic, O. , Jablan, M. , Joannopoulos, J. D. , Celanovic, I. , Buljan, H. , and Soljačić, M. , 2012, “ Near-Field Thermal Radiation Transfer Controlled by Plasmons in Graphene,” Phys. Rev. B, 85(15), p. 155422. [CrossRef]
Song, J. , and Cheng, Q. , 2016, “ Near-Field Radiative Heat Transfer Between Graphene and Anisotropic Magneto-Dielectric Hyperbolic Metamaterials,” Phys. Rev. B, 94(12), p. 125419. [CrossRef]
Zhang, R. Z. , Liu, X. L. , and Zhang, Z. M. , 2015, “ Near-Field Radiation Between Graphene-Covered Carbon Nanotube Arrays,” AIP. Adv., 5(5), p. 053501. [CrossRef]
Zhao, Q. , Zhou, T. , Wang, T. , Liu, W. , Liu, J. , Yu, T. , Liao, Q. , and Liu, N. , 2017, “ Active Control of Near-Field Radiative Heat Transfer Between Graphene-Covered Metamaterials,” J. Phys. D: Appl. Phys., 50(14), p. 145101. [CrossRef]
Zhou, T. , Song, C.-C. , Wang, T.-B. , Liu, W.-X. , Liu, J.-T. , Yu, T.-B. , Liao, Q.-H. , and Liu, N.-H. , 2017, “ Enhancement of Near-Field Radiative Heat Transfer Via Multiple Coupling of Surface Waves With Graphene Plasmon,” AIP. Adv., 7(5), p. 055213. [CrossRef]
Yang, Y. , and Wang, L. , 2017, “ Electrically-Controlled Near-Field Radiative Thermal Modulator Made of Graphene-Coated Silicon Carbide Plates,” J. Quant. Spectros. Radiat. Transfer, 197, pp. 68–75. [CrossRef]
Joulain, K. , Drevillon, J. , and Ben-Abdallah, P. , 2010, “ Noncontact Heat Transfer Between Two Metamaterials,” Phys. Rev. B, 81(16), p. 165119. [CrossRef]
Francoeur, M. , Basu, S. , and Petersen, S. J. , 2011, “ Electric and Magnetic Surface Polariton Mediated Near-Field Radiative Heat Transfer Between Metamaterials Made of Silicon Carbide Particles,” Opt. Express, 19(20), pp. 18774–18788. [CrossRef] [PubMed]
Liu, D. , Das, A. , and Park, W. , 2017, “ Direct Modeling of Near Field Thermal Radiation in a Metamaterial,” Opt. Express, 25(11), pp. 12999–13009. [CrossRef] [PubMed]
Liu, X. L. , Zhang, R. Z. , and Zhang, Z. M. , 2014, “ Near-Field Radiative Heat Transfer With Doped-Silicon Nanostructured Metamaterials,” Int. J. Heat Mass Transfer, 73, pp. 389–398. [CrossRef]
Guo, Y. , Cortes, C. L. , Molesky, S. , and Jacob, Z. , 2012, “ Broadband Super-Planckian Thermal Emission From Hyperbolic Metamaterials,” Appl. Phys. Lett., 101(13), p. 131106. [CrossRef]
Biehs, S.-A. , Tschikin, M. , Messina, R. , and Ben-Abdallah, P. , 2013, “ Super-Planckian Near-Field Thermal Emission With Phonon-Polaritonic Hyperbolic Metamaterials,” Appl. Phys. Lett., 102(13), p. 131106. [CrossRef]
Biehs, S.-A. , and Ben-Abdallah, P. , 2017, “ Near-Field Heat Transfer Between Multilayer Hyperbolic Metamaterials,” Z. Naturforsch, 72(2), pp. 115–127.
Liu, X. L. , Zhang, R. Z. , and Zhang, Z. M. , 2013, “ Near-Field Thermal Radiation Between Hyperbolic Metamaterials: Graphite and Carbon Nanotubes,” Appl. Phys. Lett., 103(21), p. 213102. [CrossRef]
Moncada-Villa, E. , Fernández-Hurtado, V. , García-Vidal, F. J. , García-Martín, A. , and Cuevas, J. C. , 2015, “ Magnetic Field Control of Near-Field Radiative Heat Transfer and the Realization of Highly Tunable Hyperbolic Thermal Emitters,” Phys. Rev. B, 92(12), p. 125418. [CrossRef]
Liu, X. L. , and Zhang, Z. M. , 2015, “ Giant Enhancement of Nanoscale Thermal Radiation Based on Hyperbolic Graphene Plasmons,” Appl. Phys. Lett., 107(14), p. 143114. [CrossRef]
Shi, K. , Bao, F. , and He, S. , 2017, “ Enhanced Near-Field Thermal Radiation Based on Multilayer Graphene-hBN Heterostructures,” ACS Photonics, 4(4), pp. 971–978. [CrossRef]
Zhao, B. , Guizal, B. , Zhang, Z. M. , Fan, S. , and Anterzza, M. , 2017, “ Near-Field Heat Transfer Between Graphene/hBN Multilayers,” Phys. Rev. B, 95(24), p. 245437. [CrossRef]
Demichelis, F. , Pirri, C. F. , and Tresso, E. , 1992, “ Influence of Doping on the Structural and Optoelectronic Properties of Amorphous and Microcrystalline Silicon Carbide,” J. Appl. Phys., 72(4), pp. 1327–1333. [CrossRef]
Hu, L. , and Chui, S. T. , 2002, “ Characteristics of Electromagnetic Wave Propagation in Uniaxially Anisotropic Left-Handed Materials,” Phys. Rev. B, 66(8), p. 085108. [CrossRef]
Wu, H. , Huang, Y. , and Zhu, K. , 2015, “ Near-Field Radiative Transfer Between Magneto-Dielectric Uniaxial Anisotropic Media,” Opt. Lett., 40(19), pp. 4532–4535. [CrossRef] [PubMed]
Sreekanth, K. , De Luca, A. , and Strangi, G. , 2013, “ Negative Refraction in Graphene-Based Hyperbolic Metamaterials,” Appl. Phys. Lett., 103(2), p. 023107. [CrossRef]
Zhang, R. Z. , and Zhang, Z. M. , 2017, “ Validity of Effective Medium Theory in Multilayered Hyperbolic Materials,” J. Quant. Spectrosc. Radiat. Transfer, 197, pp. 132–140. [CrossRef]
Vakil, A. , and Engheta, N. , 2011, “ Transformation Optics Using Graphene,” Science, 332(6035), pp. 1291–1294. [CrossRef] [PubMed]
Falkovsky, L. A. , 2008, “ Optical Properties of Graphene,” J. Phys.: Conf. Ser., 129(1), p. 012004. [CrossRef]
Gan, C. H. , 2012, “ Analysis of Surface Plasmon Excitation at Terahertz Frequencies With Highly Doped Graphene Sheets Via Attenuated Total Reflection,” Appl. Phys. Lett., 101(11), p. 111609. [CrossRef]
Palik, E. D. , 1998, Handbook of Optical Constants of Solids, Academic Press, New York.
Basu, S. , and Wang, L. , 2013, “ Near-Field Radiative Heat Transfer Between Doped Silicon Nanowire Arrays,” Appl. Phys. Lett., 102(5), p. 053101. [CrossRef]
Liao, Q.-H. , Song, C.-C. , Wang, T.-B. , Zhang, D.-J. , Liu, W.-X. , Yu, T.-B. , and Liu, N.-H. , 2017, “ Modulation of the Electromagnetic Local Density of States in Graphene-Based Hyperbolic Metamaterials,” J. Appl. Phys., 122(19), p. 193101. [CrossRef]
Zhan, T. , Shi, X. , Dai, Y. , Liu, X. , and Zi, J. , 2013, “ Transfer Matrix Method for Optics in Graphene Layers,” J. Phys.: Condens. Matter, 25(21), p. 215301. [CrossRef] [PubMed]

Figures

Grahic Jump Location
Fig. 1

(a) Schematic of near-field heat transfer between two graphene-based HMMs separated by a vacuum gap D. (b) Variation in real parts of permittivity tensors ε// and ε⊥ with angular frequency. The black solid and red dotted lines represent real parts of ε// and ε⊥, respectively. Dispersion relation between normalized kz and β for angular frequency (c) ω=50 THz, with corresponding ε//=−41.5303 and ε⊥=10.6845; (d) ω=200 THz, with corresponding ε//=−0.7571 and ε⊥=2.5778.

Grahic Jump Location
Fig. 2

Energy transmission coefficients ξp(ω,β;D) from Eq. (8) as a function of ω and β/k0 for (a) graphene-covered SiC bulk and (b) graphene-based HMM structure with SiC thickness of d=20 nm. The vacuum gap and chemical potential of both structures measure D=50 nm and μ=0.2 eV, respectively.

Grahic Jump Location
Fig. 3

Normalized SHTCs as a function of ω between graphene-based HMMs for (a) different chemical potentials and (b) SiC thickness. In (a), SiC film is d=20 nm. In (b), chemical potential of graphene is μ=0.2 eV. Vacuum gaps D are fixed at 50 nm for all cases. Spectral heat flux is normalized to the blackbody result HBB=ω2/4π2c2.

Grahic Jump Location
Fig. 4

Heat transfer coefficient h(D) calculated from Eq. (6) as a function of the vacuum gap D for (a) different chemical potentials of graphene and at fixed SiC thickness and (b) different SiC thicknesses and at fixed chemical potential μ=0.2 eV. HTC is normalized to the blackbody value hBB=6.1 Wm−2 K−1. For comparison, the HTC between graphene-covered SiC bulks is described by the black solid line in (b).

Grahic Jump Location
Fig. 5

Heat transfer coefficient h(μ) of graphene-based HMM as a function of chemical potential for different SiC thickness values. HTC is normalized to the black-body value hBB=6.1 Wm−2 K−1. HTC between graphene-covered SiC bulks is also displayed with a black solid line. Environmental temperature totals 300 K, and vacuum gap spans 50 nm.

Grahic Jump Location
Fig. 6

Heat transfer coefficient h(μ) of graphene-based HMMs as a function of chemical potentials for different SiC thickness values using TMM. HTC is normalized to the blackbody value hBB=6.1 Wm−2 K−1. HTC of graphene-coated SiC (black solid line) is also shown for comparison. Vacuum gap is set at 50 nm.

Grahic Jump Location
Fig. 7

(a) Heat transfer coefficient of graphene-based HMM as a function of SiC thickness for different chemical potentials at a fixed vacuum gap of 50 nm. (b) HTC of HMM as a function of vacuum gap from different SiC thickness values and at fixed chemical potential μ=0.2 eV. HTC is normalized to the blackbody value hBB=6.1 Wm−2 K−1.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In