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.
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References
W. Nottingham, Phys. Rev. 59, 907 (1941).
G. M. Fleming and J. E. Henderson, Phys. Rev. 58, 887 (1940).
I. Engle and P. H. Cutler, Surf. Sci. 12, 208 (1968).
N. M. Miskovsky, S. H. Park, J. He and P. H. Cutler, J. Vac. Sci. Technol., B 11, 366 (1993).
L. W. Swanson, L. C. Crouser and F. M. Charbonnier, Phys. Rev. 151, 327 (1966).
M. Drechsler, Z. Naturforsch., A 18, 1367 (1963).
P. H. Cutler, M. S. Chung, N. M. Miskovsky, T. E. Sullivan and B. L. Weiss, Appl. Surf. Sci. 76, 1 (1994).
M. S. Chung, P. H. Cutler, N. M. Miskovsky and T. E. Sullivan, J. Vac. Sci. Technol., B 12, 727 (1994).
T. L. Westover and T. S. Fisher, Heat Transfer Eng. 29, 395 (2008).
T. L. Westover and T. S. Fisher, Phys. Rev. B 77, 115426 (2008).
M. S. Chung, S. C. Hong, A. Mayer, P. H. Cutler, B. L. Weiss and N. M. Miskovsky, Appl. Phys. Lett. 92, 083505 (2008).
M. S. Chung, A. Mayer, B. L. Weiss, N. M. Miskovsky and P. H. Cutler, Appl. Phys. Lett. 98, 243502 (2011).
Y. Gelbstein, Z. Dashevsky and M. P. Dariel, Physica B 363, 196 (2005).
Z. H. Dughaish, Physica B 322, 205 (2002).
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).
T. C. Harman, M. P. Walsh, B. E. Laforge and G. W. Turner, J. Electron. Mater. 34, L19 (2005).
J. P. Heremans, V. Jovovic, E. S. Toberer, A. Saramat, K. Kurosaki, A. Charoenphakdee, S. Yamanaka and G. J. Snyder, Science 321, 554 (2008).
A. Modinos, Field, Thermionic, and Secondary Electron Emission Spectroscopy (Plenum, New York, 1984).
O. Madelung, Semiconductors Basic Data, 2nd ed. (Springer, New York, 1996), p. 200.
H. Sitter, K. Lischka and H. Heinrich, Phys. Rev. B 16, 680 (1977).
M. Wagner, Ph. D. thesis, Technischen Universität Wien, 2007.
K. Weiser, Phys. Rev. B 23, 2741 (1980).
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).
K. L. Jensen, J. Vac. Sci. Technol., B 21, 1528 (2003).
W. W. Liu and M. Fukuma, J. Appl. Phys. 60, 1555 (1986).
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).
Z. H. Dughaish, Physica B 322, 205 (2002).
N. W. Ashcroft and N. D. Mermin, Sold State Physics (Saunders College, Philadelphia, 1976), p. 258.
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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
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DOI: https://doi.org/10.3938/jkps.60.1565