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Interconnect Reliability Study Using a Microscopic Nucleation Model for Electromigration

Published online by Cambridge University Press:  10 February 2011

M. Tammaro
Affiliation:
Department of Physics, University of Rhode Island, Kingston RI 02881 Tammaro@phys.uri.edu
B. Setlik
Affiliation:
Department of Physics, University of Rhode Island, Kingston RI 02881 Tammaro@phys.uri.edu
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Abstract

A microscopic nucleation model for electromigration is proposed. The solution to the master equations for site occupancy produces a variable current exponent with 1 < n < 2. These results disprove previous claims that n = 2 in nucleation models. We also address the long-standing speculation regarding an additional temperature dependence in Black's equation. Under the premise that the activation energy in Black's equation, Ea, should be equal to the energy barrier for atomic hopping, we provide evidence for an additional T2 dependence of the failure time. Microscopic modeling provides an explicit connection between the macroscopic model behavior and the microscopic parameters of the model. A continuum treatment of our model is derived and compared with standard continuum treatments.

Type
Research Article
Copyright
Copyright © Materials Research Society 1999

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References

[1] Ho, P.S. and Kwok, T., Rep. Prog. Phys. 52, 301 (1989); and references therein.Google Scholar
[2] Black, J.R., in Proceedings of the 6th Annual International Reliability Physics Symposium (Proc. IEEE, New York, 1967), P. 148.Google Scholar
[3] Hu, C.-K., Thin Sol. Films 260, 124 (1995).Google Scholar
[4] Hu, C.K., Small, M.B.. and Ho, P.S., J. Appl. Phys. 74, 969 (1993).Google Scholar
[5] Shih, W. C. and Greer, A. L., J. Appl. Phys. 84, 2551 (1998).Google Scholar
[6] Wu, Kang and Bradley, Mark, Phys. Rev. B. 50, 12468 (1994).Google Scholar
[7] Shatzkes, M. and Lloyd, J. R., J. Appl. Phys. 59, 3891 (1986).Google Scholar
[8] Setlik, B., Aubin, K., Heskett, D.. and Briere, M. A., Proceedings of the University-Government-Industry Microelectronics Symposium (Proc. IEEE, New York, 1997) P. 159Google Scholar
[9] Ho, P. S. and Kwok, T., Rep. Prog. Phys. 52, 301 (1989).Google Scholar
[10] Oates, A.S., Appl. Phys. Lett. 66, 1475 (1995).Google Scholar
[11] Clement, J. J., J. Appl. Phys. 82, 5991 (1997).Google Scholar
[12] Clement, J. J. and Lloyd, J. R., J. Appl. Phys. 71, 1729 (1992).Google Scholar
[13] Nix, W. D. and Artz, E., Met. Trans. A 23 2007 (1992).Google Scholar
[14] Tammaro, M., Sabella, M.. and Evans, J. W., J. Chem. Phys. 103, 10277 (1995).Google Scholar
[15] Dekker, J. P. and Lodder, A., J. Appl. Phys. 84, 1958 (1998).Google Scholar
[16] Schreiber, H.-U. and Grabe, B., Solid-State Electr. 24, 1135 (1981).Google Scholar