Abstract
Continuous scaling in semiconductor technology, associatsed with Moore’s law, brought new materials in every functional element of Si-based metal-oxide-semiconductor (MOS) field effect transistors (FET). In particular, for a gate dielectric instead of traditional SiO2 new HfO2-based oxides with higher dielectric constants are now used. The introduction of these so-called high-k dielectrics opened the possibility of using high mobility semiconductors instead of Si in MOS technology. In this chapter we discuss density functional calculations of high-k oxides hafnia and zironia. After briefly describing theoretical methods used in our calculations we discuss the bulk properties, surfaces and interfaces of hafnia and zirconia relevant to advanced gate stack engineering.
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M. Passlack, N. Medendorp, R. Gregory and D. Braddock, Appl. Phys. Lett. 83, 5262 (2003).
P. Hohenberg and W. Kohn, Phys. Rev. 136, 864 (1964).
W. Kohn and L. J. Sham, Phys. Rev. 140, 1133 (1965).
J. R. Chelikowsky, N. Troullier and Y. Saad, Phys. Rev. Lett. 72, 1240 (1994).
M. C. Payne, M. P. Teter, D. C. Allan, T. A. Arias and J. D. Joannopoulos, Rev. Mod. Phys. 64, 1045 (1992).
J. C. Phillips and L. Kleinman, Phys. Rev. 116, 287 (1959).
D. R. Hamann, M. Schlüter and C. Chiang, Phys. Rev. Lett. 43, 1494 (1979).
N. Troullier and J. L. Martins, Phys. Rev. B 43, 1993 (1991).
D. Vanderbilt, Phys. Rev. B 41, 7892 (1990).
M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids. (Clarendon Press, New York, 1988).
R. D. King-Smith and D. Vanderbilt, Phys. Rev. B 47, 1651 (1993).
G. Kresse and J. Hafner, Phys. Rev. B 47, 558 (1993).
G. Kresse and J. Furthmüller, Phys. Rev. B 54, 11169 (1996).
D. M. Bylander and L. Kleinman, Phys. Rev. B 36, 3229 (1987).
C. G. Van deWalle, Phys. Rev. B 39, 1871 (1989).
J. Wang, H. P. Li and R. Stevens, J. Mater. Sci. 27, 5397 (1992).
R. Ruh, H. J. Garrett, R. R. Domagala and N. M. Tallen, J. Am. Ceram. Soc. 51, 23 (1968).
X. Luo, W. Zhou, S. Ushakov, A. Navrotsky and A. A. Demkov, Phys. Rev. B 80, 134119 (2009).
J. Adam and M. D. Rodgers, Acta Crystallogr. 12, 951 (1959).
R. Ruh and W. R. Corfield, J. Am. Ceram. Soc. 53, 126 (1970).
R. Ruh and V. A. Patel, J. Am. Ceram. Soc. 56, 606 (1973).
X. Y. Zhao and D. Vanderbilt, Phys. Rev. B 65, 233106 (2002).
R. Stevens, An Introduction to Zirconia, 2nd ed. (Magnesium Electron, Twickenham, UK, 1986).
R. E. Hann, V. A. Suitch and J. L. Pentecost, J. Am. Ceram. Soc. C 285 (1985).
X. Y. Zhao, D. Ceresoli and D. Vanderbilt, Phys. Rev. B 71 (2005).
C. E. Curtis, L. M. Doney and J. R. Johnson, J. Am. Ceram. Soc. 37, 458 (1954).
D. Taylor, Br. Ceram. Trans. 83, 32 (1984).
V. B. Glushkova and M. V. Kravchinskaya, Ceram. Int. 11, 56 (1985).
R. C. Weast, CRC Handbook for Chemistry and Physics, 65 ed. (CRC Press, 1985).
E. J. Little and M. M. Jones, J. Chem. Educ. 37, 231 (1960).
P. E. Quintard, P. Barberis, A. P. Mirgorodsky and T. Merle-Mejean, J. Am. Ceram. Soc. 85, 1745 (2002).
A. P. Mirgorodsky and P. E. Quintard, J. Am. Ceram. Soc. 82, 3121 (1999).
G. K. Horton and A. A. Maradudin, Dynamical Properties of Solids, (American Elsevier Publishing Co., New York, 1974).
N. W. Ashcroft and N. D. Mermin, Solid State Physics. (Thomson Learning, 1975).
Y. Moriya and A. Navrotsky, J. Chem. Thermodyn. 38, 211 (2006).
T. Tojo, T. Atake, T. Mori and H. Yamamura, J. Chem. Thermodyn. 31, 831 (1999).
S. S. Todd, J. Am. Chem. Soc. 75, 3035 (1953).
T. Tojo, T. Atake, T. Mori and H. Yamamura, J. Therm. Anal. Calorim. 57, 447 (1999).
J. E. Bailey, Proc. R. Soc. A 27, 359 (1964).
G. M. Wolten, Acta Crystallogr. 17, 763 (1964).
R. N. Patil and E. C. Subbarao, Acta Crystallogr. 26, 535 (1970).
M. Sternik and K. Parlinski, J. Chem. Phys. 122, 064707 (2005).
J. Padilla and D. Vanderbilt, Surf. Sci. 418, 64 (1998).
E. Chagarov, A. A. Demkov and J. B. Adams, Phys. Rev. B 71, 075417 (2005).
M. Y. Ho, H. Gong, G. D. Wilk, B. W. Busch, M. L. Green, P. M. Voyles, D. A. Muller, M. Bude, W. H. Lin, A. See, M. E. Loomans, S. K. Lahiri and P. I. Raisanen, J. Appl. Phys. 93, 1477 (2003).
J. Aarik, A. Aidla, H. Mandar, V. Sammelselg and T. Uustare, J. Cryst. Growth 220, 105 (2000).
A. B. Mukhopadhyay, J. F. Sanz and C. B. Musgrave, Phys. Rev. B 73 (2006).
X. Luo, A. A. Demkov, D. Triyoso, P. Fejes, R. Gregory and S. Zollner, Phys. Rev. B 78, 245314 (2008).
V. I. Anisimov, P. Kuiper and J. Nordgren, Phys. Rev. B 50, 8257 (1994).
A. A. Demkov, Physica Status Solidi B 226, 57 (2001).
A. A. Demkov, L. R. C. Fonseca, E. Verret, J. Tomfohr and O. F. Sankey, Phys. Rev. B 71, 195306 (2005).
R. Q. Long, Y. P. Huang and H. L. Wan, J. Raman Spectrosc. 28, 29 (1997).
V. V. Pushkarev, V. I. Kovalchuk and J. L. d'Itri, J. Phys. Chem. B 108, 5341 (2004).
C. Li, Y. Sakata, T. Arai, K. Domen, K. I. Maruya and T. Onishi, J. Chem. Soc. Faraday Trans. I 85, 1451 (1989).
A. Christensen and E. A. Carter, Phys. Rev. B 58, 8050 (1998).
O. Sharia, Theoretical Study of HfO 2 as a Gate Material for CMOS Devices, Ph.D. thesis (University of Texas, Austin, 2008).
E. Bersch, S. Rangan, R. A. Bartynski, E. Garfunkel and E. Vescovo, Phys. Rev. B 78, 085114 (2008).
G. Cerrato, S. Bordiga, S. Barbera and C. Morterra, Surf. Sci. 377, 50 (1997).
S. V. Ushakov, A. Navrotsky, Y. Yang, S. Stemmer, K. Kukli, M. Ritala, M. A. Leskela, P. Fejes, A. Demkov, C. Wang, B. Y. Nguyen, D. Triyoso and P. Tobin, Physica Status Solidi B 241, 2268 (2004).
A. Callegari, D. K. Sadana, D. A. Buchanan, A. Paccagnella, E. D. Marshall, M. A. Tischler and M. Norcott, Appl. Phys. Lett. 58, 2540 (1991).
Y. Nakano, N. Negoro and H. Hasegawa, Jpn. J. Appl. Phys., Part 1 41, 2542.
S. J. Koester, E. W. Kiewra, Y. N. Sun, D. A. Neumayer, J. A. Ott, M. Copel, D. K. Sadana, D. J. Webb, J. Fompeyrine, J. P. Locquet, C. Marchiori, M. Sousa and R. Germann, Appl. Phys. Lett. 89, 042104 (2006).
M. Ritala, M. Leskela, L. Niinisto, T. Prohaska, G. Friedbacher and M. Grasserbauer, Thin Solid Films 250, 72 (1994).
R. Chau, S. Datta, M. Doczy, B. Doyle, J. Kavalieros and M. Metz, IEEE Electron Device Lett. 25, 408 (2004).
J. Robertson and C. W. Chen, Appl. Phys. Lett. 74, 1168 (1999).
W. Schottky, Zeit. Phys. 118, 539 (1942).
J. Bardeen, Phys. Rev. 71, 717 (1947).
J. Tersoff, Phys. Rev. B 30, 4874 (1984).
O. Sharia, A. A. Demkov, G. Bersuker and B. H. Lee, Phys. Rev. B 75, 035306 (2007).
A. A. Demkov, R. Liu, X. D. Zhang and H. Loechelt, J. Vac. Sci. Technol. B 18, 2388 (2000).
O. Sharia, A. A. Demkov, G. Bersuker and B. H. Lee, Phys. Rev. B 77, 085326 (2008).
L. Q. Zhu, N. Barrett, P. Jegou, F. Martin, C. Leroux, E. Martinez, H. Grampeix, O. Renault and A. Chabli, J. Appl. Phys. 105, 024102 (2009).
H. B. Michaelson, J. Appl. Phys. 48, 4729 (1977).
A. A. Demkov, Phys. Rev. B 74, 085310 (2006).
O. Sharia, K. Tse, J. Robertson and A. A. Demkov, Phys. Rev. B 79, 125305 (2009).
C. Berthod, N. Binggeli and A. Baldereschi, Phys. Rev. B 68, 085323 (2003).
Acknowledgements
We wish to thank Jaekwang Lee, Gennady Bersuker, John Robertson, John Ekerdt, Alex Navrotsky and many others for insightful conversations we have had over the years. This work in part is supported by the National Science Foundation under grants DMR-0548182 and DMR-0606464, and by the Office of Naval Research under grant N000 14-06-1-0362. All calculations are performed at the Texas Advanced Computing Center (TACC).
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Demkov, A., Luo, X., Sharia, O. (2010). Theory of HfO2-Based High-k Dielectric Gate Stacks. In: Oktyabrsky, S., Ye, P. (eds) Fundamentals of III-V Semiconductor MOSFETs. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1547-4_4
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