Abstract
We discuss the theory behind low-temperature measurement of the Seebeck coefficient in materials with few electrons, such as insulators and lightly doped semiconductors. The Seebeck coefficient is defined thermodynamically as being related to the electrochemical potential. However, the measurement is of the voltage for a material with no current, which is not the same as the gradient of the electrochemical potential.
Similar content being viewed by others
References
G.D. Mahan, J. Appl. Phys. 87, 7326 (2000).
G.D. Mahan, J. Electron. Mater. 44, 431 (2015).
H.P.R. Frederikse, Phys. Rev. 92, 248 (1953).
T.H. Geballe and G.W. Hull, Phys. Rev. 94, 1134 (1954).
T.H. Geballe and G.W. Hull, Phys. Rev. 98, 940 (1955).
N. Cusack and P. Kendall, Proc. Phys. Soc. 72, 898 (1958).
D.K.C. MacDonald, W.P. Pearson, and I.M. Templeton, Philos. Mag. 3, 917 (1958).
F.J. Blatt, P.A. Schroeder, C.L. Foiles, and D. Greig, Thermoelectric Power of Metals (New York: Plenum, 1976), p. 5.
T. Kolodiazhnyi, Phys. Rev. B 78, 045107 (2008).
P. Limelette, W. Saulquin, H. Muguena, and D. Grebille, Phys. Rev. B 81, 115113 (2010).
P. Limelette, S. Hebert, V. Hardy, R. Fresard, Ch. Simon, and A. Maignan, Phys. Rev. Lett. 97, 046601 (2006).
A. Bentien, S. Johnsen, G.K.H. Madsen, B.B. Iversen, and F. Steglich, Europhys. Lett. 80, 17008 (2007).
T. Motohashi, V. Sugimoto, Y. Masubuchi, T. Sasagawa, W. Koshibae, T. Tohyama, H. Yamasuchi, and S. Kikkawa, Phys. Rev. B 83, 195128 (2011).
T. Okuda, K. Nakanishi, S. Miyasaka, and Y. Tokura, Phys. Rev. B 63, 113104 (2001).
M. Uchida, K. Oishi, M. Matsuo, W. Koshibae, Y. Onose, M. Mori, J. Fujioka, S. Miyasaka, S. Maekawa, and Y. Tokura, Phys. Rev. B 83, 165127 (2011).
P. Finkel, B. Seaman, K. Harrell, J. Palma, J.D. Hettinger, S.E. Lofland, A. Ganguly, M.W. Barsoum, Z. Sun, Sa Li, and R. Ahuja, Phys. Rev. B 70, 085104 (2004).
C.M. Jaworski, J. Yang, S. Mack, D.D. Awschalom, R.C. Myers, and J.P. Heremans, Phys. Rev. Lett. 106, 186601 (2011).
G.D. Mahan, Condensed Matter in a Nutshell (Princeton: Princeton Univ. Press, 2011), pp. 331–334.
A. Bailyn, Phys. Rev. 112, 1587 (1958).
G.D. Mahan, L. Lucas, and D.A. Broido, J. Appl. Phys. 116, 245102 (2014).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mahan, G. The Seebeck Coefficient of Insulators: Electrochemical Potential. J. Electron. Mater. 45, 1257–1259 (2016). https://doi.org/10.1007/s11664-015-3986-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11664-015-3986-z