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Towards quantum-limited coherent detection of terahertz waves in charge-neutral graphene

A Publisher Correction to this article was published on 26 November 2019

This article has been updated


Spectacular advances in heterodyne astronomy1,2 have been largely due to breakthroughs in detector technology3. To exploit the full capacity of future terahertz (300 GHz–5 THz) telescope space missions4, new concepts of terahertz coherent receivers are needed, providing larger bandwidths and imaging capabilities with multipixel focal plane heterodyne arrays5. Here we show that graphene uniformly doped to the Dirac point, with material resistance dominated by quantum localization and thermal relaxation governed by electron diffusion, enables highly sensitive and wideband coherent detection of signals from 90 to 700 GHz and, prospectively, across the entire terahertz range. We measure on proof-of-concept graphene bolometric mixers an electron diffusion-limited gain bandwidth of 8 GHz (corresponding to a Doppler shift of 480 km s−1 at 5 THz) and intrinsic mixer noise temperature of 475 K (which would be equivalent to ~2 hf/kB at f = 5 THz, where h is Planck’s constant, f is the frequency and kB is the Boltzmann constant), limited by the residual thermal background in our setup. An optimized device will result in a mixer noise temperature as low as 36 K, with the gain bandwidth exceeding 20 GHz, and a local oscillator power of <100 pW. In conjunction with the emerging quantum-limited amplifiers at the intermediate frequency6,7, our approach promises quantum-limited sensing in the terahertz domain, potentially surpassing superconducting technologies, particularly for large heterodyne arrays.

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Fig. 1: Graphene doped to the Dirac point as bolometric mixer.
Fig. 2: Equivalence of THz radiation, Joule heating and base temperature effects on the graphene bolometer.
Fig. 3: Measured and projected (for zero background radiation) THz mixing performance of our graphene bolometric mixer.

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The authors declare that the main data supporting the findings of this study are available within the article and its Supplementary Information files. Additional data is available from the corresponding author upon request.

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  • 26 November 2019

    An amendment to this paper has been published and can be accessed via a link at the top of the paper.


  1. Rowan-Robinson, M. Probing the cold Universe. Science 325, 546–547 (2009).

    ADS  Article  Google Scholar 

  2. Young, E. T. et al. Early science with SOFIA, the Stratospheric Observatory for Infrared Astronomy. Astrophys. J. Lett. 749, L17 (2012).

    ADS  Article  Google Scholar 

  3. de Graauw, T. et al. The Herschel-Heterodyne Instrument for the Far-Infrared (HIFI). Astron. Astrophys. 518, L6 (2010).

    ADS  Article  Google Scholar 

  4. Battersby, C. et al. The Origins Space Telescope. Nat. Astron. 2, 596–599 (2018).

    ADS  Article  Google Scholar 

  5. Goldsmith, P. F. Sub-millimeter heterodyne focal-plane arrays for high-resolution astronomical spectroscopy. Radio Sci. Bull. 362, 53–73 (2017).

    Google Scholar 

  6. White, T. C. et al. Traveling wave parametric amplifier with Josephson junctions using minimal resonator phase matching. Appl. Phys. Lett. 106, 242601 (2015).

    ADS  Article  Google Scholar 

  7. Ho Eom, B., Day, P. K., Leduc, H. G. & Zmuidzinas, J. A wideband, low-noise superconducting amplifier with high dynamic range. Nat. Phys. 8, 623–627 (2012).

    Article  Google Scholar 

  8. Blain, A. W., Smail, I., Ivison, R. J., Kneib, J. P. & Frayer, D. T. Submillimeter galaxies. Phys. Rep. 369, 111–176 (2002).

    ADS  Article  Google Scholar 

  9. Madau, P. & Dickinson, M. Cosmic star formation history. Annu. Rev. Astron. Astrophys. 52, 415–486 (2014).

    ADS  Article  Google Scholar 

  10. Klapwijk, T. M. & Semenov, A. V. Engineering physics of superconducting hot-electron bolometer mixers. IEEE Trans. Terahertz Sci. Technol. 7, 627–648 (2017).

    ADS  Article  Google Scholar 

  11. Prober, D. E. Superconducting terahertz mixer using a transition-edge microbolometer. Appl. Phys. Lett. 62, 2119–2121 (1993).

    ADS  Article  Google Scholar 

  12. Gershenzon, E. M. et al. Millimeter and submillimeter range mixer based on electronic heating of superconducting films in the resistive state. Sov. Phys. Supercond. 3, 1582–1597 (1990).

    Google Scholar 

  13. Krause, S. et al. Noise and IF gain bandwidth of a balanced waveguide NbN/GaN hot electron bolometer mixer operating at 1.3 THz. IEEE Trans. Terahertz Sci. Technol. 8, 365–371 (2018).

    ADS  Article  Google Scholar 

  14. Novoselov, E. & Cherednichenko, S. Low noise terahertz MgB2 hot-electron bolometer mixers with an 11 GHz bandwidth. Appl. Phys. Lett. 110, 032601 (2017).

    ADS  Article  Google Scholar 

  15. El Fatimy, A. et al. Epitaxial graphene quantum dots for high-performance terahertz bolometers. Nat. Nanotechnol. 11, 335–338 (2016).

    ADS  Article  Google Scholar 

  16. Cai, X. et al. Sensitive room-temperature terahertz detection via the photothermoelectric effect in graphene. Nat. Nanotechnol. 9, 814–819 (2014).

    ADS  Article  Google Scholar 

  17. Mittendorff, M. et al. Ultrafast graphene-based broadband THz detector. Appl. Phys. Lett. 103, 021113 (2013).

    ADS  Article  Google Scholar 

  18. McCann, E. et al. Weak-localization magnetoresistance and valley symmetry in graphene. Phys. Rev. Lett. 97, 146805 (2006).

    ADS  Article  Google Scholar 

  19. Aleiner, I. L. & Efetov, K. B. Effect of disorder on transport in graphene. Phys. Rev. Lett. 97, 236801 (2006).

    ADS  Article  Google Scholar 

  20. Lara-Avila, S. et al. Disordered Fermi liquid in epitaxial graphene from quantum transport measurements. Phys. Rev. Lett. 107, 166602 (2011).

    ADS  Article  Google Scholar 

  21. Novoselov, K. S. et al. Electric field effect in atomically thin carbon films. Science 306, 666–669 (2004).

    ADS  Article  Google Scholar 

  22. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005).

    ADS  Article  Google Scholar 

  23. Zhang, Y., Tan, Y.-W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry’s phase in graphene. Nature 438, 201–204 (2005).

    ADS  Article  Google Scholar 

  24. Ponomarenko, L. A. et al. Tunable metal–insulator transition in double-layer graphene heterostructures. Nat. Phys. 7, 958–961 (2011).

    Article  Google Scholar 

  25. Efetov, D. K. et al. Fast thermal relaxation in cavity-coupled graphene bolometers with a Johnson noise read-out. Nat. Nanotechnol. 13, 797–801 (2018).

    ADS  Article  Google Scholar 

  26. He, H. et al. Uniform doping of graphene close to the charge neutrality point by polymer-assisted spontaneous assembly of molecular dopants. Nat. Commun. 9, 3956 (2018).

    ADS  Article  Google Scholar 

  27. Balandin, A. A. Thermal properties of graphene and nanostructured carbon materials. Nat. Mater. 10, 569–581 (2011).

    ADS  Article  Google Scholar 

  28. Kubakaddi, S. S. Interaction of massless Dirac electrons with acoustic phonons in graphene at low temperatures. Phys. Rev. B 79, 075417 (2009).

    ADS  Article  Google Scholar 

  29. Baker, A. M. R. et al. Energy loss rates of hot Dirac fermions in epitaxial, exfoliated, and CVD graphene. Phys. Rev. B 87, 045414 (2013).

    ADS  Article  Google Scholar 

  30. Narozhny, B. N., Gornyi, I. V., Titov, M., Schütt, M. & Mirlin, A. D. Hydrodynamics in graphene: linear-response transport. Phys. Rev. B 91, 035414 (2015).

    ADS  Article  Google Scholar 

  31. Foster, M. S. & Aleiner, I. L. Slow imbalance relaxation and thermoelectric transport in graphene. Phys. Rev. B 79, 085415 (2009).

    ADS  Article  Google Scholar 

  32. Müller, M., Fritz, L. & Sachdev, S. Quantum-critical relativistic magnetotransport in graphene. Phys. Rev. B 78, 115406 (2008).

    ADS  Article  Google Scholar 

  33. Crossno, J. et al. Observation of the Dirac fluid and the breakdown of the Wiedemann–Franz law in graphene. Science 351, 1058–1061 (2016).

    ADS  Article  Google Scholar 

  34. Wang, L. et al. One-dimensional electrical contact to a two-dimensional material. Science 342, 614–617 (2013).

    ADS  Article  Google Scholar 

  35. Ekström, H., Karasik, B. S., Kollberg, E. L. & Yngvesson, K. S. Conversion gain and noise of niobium superconducting hot-electron-mixers. IEEE Trans. Microw. Theory Tech. 43, 938–947 (1995).

    ADS  Article  Google Scholar 

  36. Martin, F., Vermeulen, G., Camus, P. & Benoit, A. A closed cycle 3He–4He dilution refrigerator insensitive to gravity. Cryogenics 50, 623–627 (2010).

    ADS  Article  Google Scholar 

  37. Yates, S. J. C. et al. Photon noise limited radiation detection with lens-antenna coupled microwave kinetic inductance detectors. Appl. Phys. Lett. 99, 073505 (2011).

    ADS  Article  Google Scholar 

  38. Buchel, D. et al. 4.7-THz superconducting hot electron bolometer waveguide mixer. IEEE Trans. Terahertz Sci. Technol. 5, 207–214 (2015).

    ADS  Article  Google Scholar 

  39. Yager, T. et al. Express optical analysis of epitaxial graphene on SiC: impact of morphology on quantum transport. Nano Lett. 13, 4217–4223 (2013).

    ADS  Article  Google Scholar 

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We thank J. Conway and E. De Beck for illuminating discussions, and A. Tzalenchuk, J. F. Schneiderman and T. Claeson for critical reading of the manuscript. This work was jointly supported by the Swedish Foundation for Strategic Research (SSF) (nos. IS14-0053, GMT14-0077, RMA15-0024), Knut and Alice Wallenberg Foundation, Chalmers Area of Advance NANO, the Swedish Research Council (VR) 2015-03758 and 2016-04828, the Swedish-Korean Basic Research Cooperative Program of the NRF (no. NRF-2017R1A2A1A18070721) and the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 766714/HiTIMe).

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Authors and Affiliations



S.L.-A., H.H., K.H.K. and R.Y. contributed to sample growth and device fabrication. S.L.-A., H.H., K.H.K, F.L. and T.B. performed the d.c. characterization of the device. D.G. developed the theoretical calculations. A.D. and S.C. characterized the sample at THz and microwave frequency ranges. D.G., S.L.-A., A.D., S.C. and S.K. contributed to the interpretation of the experiments. S.K., S.L.-A. and S.C. conceived and designed the experiment. All the authors contributed to the writing of the manuscript.

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Correspondence to S. Lara-Avila.

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The authors declare no competing interests.

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Peer review information Nature Astronomy thanks Peter Roelfsema and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

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Supplementary Figs. 1–8, Supplementary text and Supplementary references.

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Lara-Avila, S., Danilov, A., Golubev, D. et al. Towards quantum-limited coherent detection of terahertz waves in charge-neutral graphene. Nat Astron 3, 983–988 (2019).

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