Skip to main content
Log in

Theoretical analysis of field emission cooling of N-type PbTe

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

The cooling effect of field emission from n-type PbTe is theoretically investigated. By considering the outgoing and the incoming electrons in the region of emission, we make the numerical calculation of the energy exchange through the emission and the replacement processes. We find that for n-PbTe, the resultant energy difference leads to a cooling of up to a few of tenths of eV per field electron. This implies that even though the Joule heat is taken into account, the energy exchange is large enough to cool a small electronic device.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Nottingham, Phys. Rev. 59, 907 (1941).

    Article  ADS  Google Scholar 

  2. G. M. Fleming and J. E. Henderson, Phys. Rev. 58, 887 (1940).

    Article  ADS  Google Scholar 

  3. I. Engle and P. H. Cutler, Surf. Sci. 12, 208 (1968).

    Article  ADS  Google Scholar 

  4. N. M. Miskovsky, S. H. Park, J. He and P. H. Cutler, J. Vac. Sci. Technol., B 11, 366 (1993).

    Article  Google Scholar 

  5. L. W. Swanson, L. C. Crouser and F. M. Charbonnier, Phys. Rev. 151, 327 (1966).

    Article  ADS  Google Scholar 

  6. M. Drechsler, Z. Naturforsch., A 18, 1367 (1963).

    ADS  Google Scholar 

  7. P. H. Cutler, M. S. Chung, N. M. Miskovsky, T. E. Sullivan and B. L. Weiss, Appl. Surf. Sci. 76, 1 (1994).

    Article  ADS  Google Scholar 

  8. M. S. Chung, P. H. Cutler, N. M. Miskovsky and T. E. Sullivan, J. Vac. Sci. Technol., B 12, 727 (1994).

    Article  Google Scholar 

  9. T. L. Westover and T. S. Fisher, Heat Transfer Eng. 29, 395 (2008).

    Article  ADS  Google Scholar 

  10. T. L. Westover and T. S. Fisher, Phys. Rev. B 77, 115426 (2008).

    Article  ADS  Google Scholar 

  11. M. S. Chung, S. C. Hong, A. Mayer, P. H. Cutler, B. L. Weiss and N. M. Miskovsky, Appl. Phys. Lett. 92, 083505 (2008).

    Article  ADS  Google Scholar 

  12. M. S. Chung, A. Mayer, B. L. Weiss, N. M. Miskovsky and P. H. Cutler, Appl. Phys. Lett. 98, 243502 (2011).

    Article  ADS  Google Scholar 

  13. Y. Gelbstein, Z. Dashevsky and M. P. Dariel, Physica B 363, 196 (2005).

    Article  ADS  Google Scholar 

  14. Z. H. Dughaish, Physica B 322, 205 (2002).

    Article  ADS  Google Scholar 

  15. K.-F. Hsu, S. Loo, F. Guo, W. Chen, J. S. Dyck, C. Uher, T. Hogan, E. K. Polychroniadis and M. G. Kanatzidis, Science 303, 818 (2004).

    Article  ADS  Google Scholar 

  16. T. C. Harman, M. P. Walsh, B. E. Laforge and G. W. Turner, J. Electron. Mater. 34, L19 (2005).

    Article  ADS  Google Scholar 

  17. J. P. Heremans, V. Jovovic, E. S. Toberer, A. Saramat, K. Kurosaki, A. Charoenphakdee, S. Yamanaka and G. J. Snyder, Science 321, 554 (2008).

    Article  ADS  Google Scholar 

  18. A. Modinos, Field, Thermionic, and Secondary Electron Emission Spectroscopy (Plenum, New York, 1984).

    Google Scholar 

  19. O. Madelung, Semiconductors Basic Data, 2nd ed. (Springer, New York, 1996), p. 200.

    Book  Google Scholar 

  20. H. Sitter, K. Lischka and H. Heinrich, Phys. Rev. B 16, 680 (1977).

    Article  ADS  Google Scholar 

  21. M. Wagner, Ph. D. thesis, Technischen Universität Wien, 2007.

  22. K. Weiser, Phys. Rev. B 23, 2741 (1980).

    Article  ADS  Google Scholar 

  23. H. F. Wu, H. J. Jhang, Y. H. Lu, J. X. Si, H. Y. Li, S. N. Bao, H. Z. Wu and P. He, Appl. Phys. Lett. 92, 122112 (2008).

    Article  ADS  Google Scholar 

  24. K. L. Jensen, J. Vac. Sci. Technol., B 21, 1528 (2003).

    Article  Google Scholar 

  25. W. W. Liu and M. Fukuma, J. Appl. Phys. 60, 1555 (1986).

    Article  ADS  Google Scholar 

  26. M. S. Chung, B.-G. Yoon, A. Mayer, B. L. Weiss, N. M. Miskovsky and P. H. Cutler, J. Vac. Sci. Technol., B 28, C2A19 (2010).

    Article  Google Scholar 

  27. Z. H. Dughaish, Physica B 322, 205 (2002).

    Article  ADS  Google Scholar 

  28. N. W. Ashcroft and N. D. Mermin, Sold State Physics (Saunders College, Philadelphia, 1976), p. 258.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Moon S. Chung.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cheon, J.P., Yoon, BG. & Chung, M.S. Theoretical analysis of field emission cooling of N-type PbTe. Journal of the Korean Physical Society 60, 1565–1569 (2012). https://doi.org/10.3938/jkps.60.1565

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.60.1565

Keywords

Navigation