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Nanokelvin-resolution thermometry with a photonic microscale sensor at room temperature

Abstract

Ultrahigh-resolution thermometry is critical for future advances in bio-calorimetry1,2, sensitive bolometry for sensing3 and imaging4, as well as for probing dissipation in a range of electronic5, optoelectronic6 and quantum devices7. In spite of recent advances in the field8,9,10,11, achieving high-resolution measurements from microscale devices at room temperature remains an outstanding challenge. Here, we present a band-edge microthermometer that achieves this goal by relying on the strong, temperature-dependent optical properties of GaAs at its absorption edge12,13,14. Specifically, using a suspended asymmetric Fabry–Pérot resonator and a wavelength-stabilized probe laser we demonstrate a thermoreflectance coefficient of >30 K−1, enabling measurements with a thermometry noise floor of ~60 nK Hz−1/2 and a temperature resolution of <100 nK in a bandwidth of 0.1 Hz. The advances presented here are expected to enable a broad range of studies and applications in calorimetry and bolometry where miniaturized high-resolution thermometers are required.

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Fig. 1: Device structure and experimental setup.
Fig. 2: Thermoreflectance coefficient of the BET.
Fig. 3: Characterization of thermometry resolution.
Fig. 4: Noise floor of the BET.

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Data availability

Source data are provided with this paper.

Code availability

The custom scattering-matrix code used in this paper is available from the corresponding authors upon reasonable request.

References

  1. Hong, S. et al. Sub-nanowatt microfluidic single-cell calorimetry. Nat. Commun. 11, 2982 (2020).

    Article  ADS  Google Scholar 

  2. Hur, S., Mittapally, R., Yadlapalli, S., Reddy, P. & Meyhofer, E. Sub-nanowatt resolution direct calorimetry for probing real-time metabolic activity of individual C. elegans worms. Nat. Commun. 11, 2983 (2020).

    Article  ADS  Google Scholar 

  3. Lee, G.-H. et al. Graphene-based Josephson junction microwave bolometer. Nature 586, 42–46 (2020).

    Article  ADS  Google Scholar 

  4. Sengupta, K., Nagatsuma, T. & Mittleman, D. M. Terahertz integrated electronic and hybrid electronic–photonic systems. Nat. Electron. 1, 622–635 (2018).

    Article  Google Scholar 

  5. Menges, F. et al. Temperature mapping of operating nanoscale devices by scanning probe thermometry. Nat. Commun. 7, 10874 (2016).

    Article  ADS  Google Scholar 

  6. Luo, K., Herrick, R., Majumdar, A. & Petroff, P. Scanning thermal microscopy of a vertical-cavity surface-emitting laser. Appl. Phys. Lett. 71, 1604–1606 (1997).

    Article  ADS  Google Scholar 

  7. Halbertal, D. et al. Nanoscale thermal imaging of dissipation in quantum systems. Nature 539, 407–410 (2016).

    Article  ADS  Google Scholar 

  8. Weng, W. et al. Nano-Kelvin thermometry and temperature control: beyond the thermal noise limit. Phys. Rev. Lett. 112, 160801 (2014).

    Article  ADS  Google Scholar 

  9. Strekalov, D., Thompson, R., Baumgartel, L., Grudinin, I. & Yu, N. Temperature measurement and stabilization in a birefringent whispering gallery mode resonator. Opt. Express 19, 14495–14501 (2011).

    Article  ADS  Google Scholar 

  10. Tan, S., Wang, S., Saraf, S. & Lipa, J. A. Pico-Kelvin thermometry and temperature stabilization using a resonant optical cavity. Opt. Express 25, 3578–3593 (2017).

    Article  ADS  Google Scholar 

  11. Loh, W., Yegnanarayanan, S., O’Donnell, F. & Juodawlkis, P. W. Ultra-narrow linewidth Brillouin laser with nanokelvin temperature self-referencing. Optica 6, 152–159 (2019).

    Article  ADS  Google Scholar 

  12. Wei, J., Murray, J. M., Barnes, J., Gonzalez, L. P. & Guha, S. Determination of the temperature dependence of the band gap energy of semiconductors from transmission spectra. J. Electron. Mater. 41, 2857–2866 (2012).

    Article  ADS  Google Scholar 

  13. Johnson, S. & Tiedje, T. Temperature dependence of the Urbach edge in GaAs. J. Appl. Phys. 78, 5609–5613 (1995).

    Article  ADS  Google Scholar 

  14. Marple, D. Refractive index of GaAs. J. Appl. Phys. 35, 1241–1242 (1964).

    Article  ADS  Google Scholar 

  15. Vendelbo, S. et al. Visualization of oscillatory behaviour of Pt nanoparticles catalysing CO oxidation. Nat. Mater. 13, 884–890 (2014).

    Article  ADS  Google Scholar 

  16. Reihani, A., Lim, J. W., Fork, D. K., Meyhofer, E. & Reddy, P. Microwatt-resolution calorimeter for studying the reaction thermodynamics of nanomaterials at high temperature and pressure. ACS Sens. 6, 387–398 (2021).

    Article  Google Scholar 

  17. Li, D. et al. Thermal conductivity of individual silicon nanowires. Appl. Phys. Lett. 83, 2934–2936 (2003).

    Article  ADS  Google Scholar 

  18. Seol, J. H. et al. Two-dimensional phonon transport in supported graphene. Science 328, 213–216 (2010).

    Article  ADS  Google Scholar 

  19. Sadat, S., Meyhofer, E. & Reddy, P. High resolution resistive thermometry for micro/nanoscale measurements. Rev. Sci. Instrum. 83, 084902 (2012).

    Article  ADS  Google Scholar 

  20. Kucsko, G. et al. Nanometre-scale thermometry in a living cell. Nature 500, 54–58 (2013).

    Article  ADS  Google Scholar 

  21. Neumann, P. et al. High-precision nanoscale temperature sensing using single defects in diamond. Nano Lett. 13, 2738–2742 (2013).

    Article  ADS  Google Scholar 

  22. Jarzyna, M. & Zwierz, M. Quantum interferometric measurements of temperature. Phys. Rev. A 92, 032112 (2015).

    Article  ADS  Google Scholar 

  23. Luerssen, D., Hudgings, J. A., Mayer, P. M. & Ram, R. J. Nanoscale thermoreflectance with 10mK temperature resolution using stochastic resonance. In Proc. Semiconductor Thermal Measurement and Management IEEE Twenty First Annual IEEE Symposium 253–258 (IEEE, 2005).

  24. Cahill, D. G., Goodson, K. & Majumdar, A. Thermometry and thermal transport in micro/nanoscale solid-state devices and structures. J. Heat Transfer 124, 223–241 (2002).

    Article  Google Scholar 

  25. Whittaker, D. & Culshaw, I. Scattering-matrix treatment of patterned multilayer photonic structures. Phys. Rev. B 60, 2610–2618 (1999).

    Article  ADS  Google Scholar 

  26. Johnson, P. B. & Christy, R.-W. Optical constants of the noble metals. Phys. Rev. B 6, 4370–4379 (1972).

    Article  ADS  Google Scholar 

  27. Lautenschlager, P., Garriga, M., Logothetidis, S. & Cardona, M. Interband critical points of GaAs and their temperature dependence. Phys. Rev. B 35, 9174–9189 (1987).

    Article  ADS  Google Scholar 

  28. Schaefer, S., Gao, S., Webster, P., Kosireddy, R. & Johnson, S. Absorption edge characteristics of GaAs, GaSb, InAs, and InSb. J. Appl. Phys. 127, 165705 (2020).

    Article  ADS  Google Scholar 

  29. Åström, K. J. & Murray, R. M. Feedback Systems (Princeton Univ. Press, 2010).

  30. Qian, W. et al. High-sensitivity temperature sensor based on an alcohol-filled photonic crystal fiber loop mirror. Opt. Lett. 36, 1548–1550 (2011).

    Article  ADS  Google Scholar 

  31. Festa, C. Thermostat with ±0.5 μK monitoring sensitivity. J. Phys. E 16, 683–686 (1983).

    Article  ADS  Google Scholar 

  32. David, R. & Hunter, I. W. A liquid-in-glass thermometer read by an interferometer. Sens. Actuators A 121, 31–34 (2005).

    Article  Google Scholar 

  33. Benson, B. B. & Krause, D. Jr Use of the quartz crystal thermometer for absolute temperature measurements. Rev. Sci. Instrum. 45, 1499–1501 (1974).

    Article  ADS  Google Scholar 

  34. Sadat, S. et al. Room temperature picowatt-resolution calorimetry. Appl. Phys. Lett. 99, 043106 (2011).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We acknowledge support from DOE-BES through a grant from the Scanning Probe Microscopy Division under award No. DESC0004871 (Experiments and Analysis) and support from the Army Research Office under award No. W911NF-19-1-0279 (fabrication of devices).

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Authors

Contributions

A.R., E.M. and P.R. conceived the work. A.R. fabricated the devices and performed the experiments and calculations under the supervision of E.M. and P.R. The manuscript was written by A.R., E.M. and P.R.

Corresponding authors

Correspondence to Edgar Meyhofer or Pramod Reddy.

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The authors declare no competing interests.

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Nature Photonics thanks Sheng Shen and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

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Supplementary information

Supplementary Information

Supplementary Figs. 1–6 and Sections 1–8.

Source data

Source Data Fig. 2

Experimental and modelling data for Fig. 2a–d in an Excel sheet and Matlab codes for generating Fig. 2a–d from the data.

Source Data Fig. 3

Experimental data for Fig. 3a–d in an Excel sheet and Matlab codes to generate the figures from the data.

Source Data Fig. 4

Experimental data and estimated noise corresponding to Fig. 4a is provided in an Excel sheet along with Matlab code to generate Fig. 4a.

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Reihani, A., Meyhofer, E. & Reddy, P. Nanokelvin-resolution thermometry with a photonic microscale sensor at room temperature. Nat. Photon. 16, 422–427 (2022). https://doi.org/10.1038/s41566-022-01011-0

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