Abstract
The core width and Peierls barrier and stress for Shockley partials in InP have been investigated using the improved P-N theory. The core width of 90° partial is about 1.6 times wider than that of 30° partial, and both of them are very narrow: core width ξ < 0.5b. In calculating the Peierls barrier and stress, the contribution from stain energy ignored by classical P-N theory has been considered. The calculated results show that when the dislocation moves, both the misfit and strain energies change periodically. They cancel each other due to the same order but opposite phases. Accordingly, the Peierls barrier and stress calculated from improved P-N theory are much lower than those calculated from the classical P-N theory. The Peierls barrier for 90° and 30° partials obtained by us is respectively about ~0.047 eV/Å and 0.044–0.075 eV/Å, the Peierls stress is respectively about 3.7–5.0 GPa and 4.2–6.9 GPa.
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E. Mujagic, M. Austerer, S. Schartner, M. Nobile, L.K. Hoffmann, W. Schrenk, G. Strasser, M.P. Semtsiv, I. Bayrakli, M. Wienold, W.T. Masselink, J. Appl. Phys. 103, 033104 (2008)
T.J. Coutts, S. Naseem, Appl. Phys. Lett. 46, 164 (1985)
J.F. Wang, M.S. Gudiksen, X.F. Duan, Y. Cui, C.M. Lieber, Science 293, 1455 (2001)
M.S. Gudiksen, L.J. Lauhon, J. Wang, D.C. Smith, C.M. Lieber, Nature 415, 617 (2002)
X.F. Duan, C.M. Niu, V. Sahi, J. Chen, J.W. Parce, S. Empedocles, J.L. Goldman, Nature 425, 274 (2003)
J.P. Hirth, J. Lothe, Theory of Dislocations, 2nd edn. (Wiley, New York, 1982)
P.B. Hirsch, Sci. Technol. 1, 666 (1985)
M.S. Duesbery, G.Y. Richardson, Solid State Mater. Sci. 17, 1 (1991)
H. Alexander, H. Teichler, in Materials Science and Technology, edited by R.W. Cahn, P. Hassen, E.J. Kramer (VCH Weiheim, Cambridge, 1993), Vol. 4, p. 249
U. Kaiser, I.I. Khodos, M.N. Kovalchuk, W. Richter, Crystallogr. Rep. 46, 1005 (2001)
H.-P. Chen, R.K. Kalia, A. Nakano, P. Vashishta, J. Appl. Phys. 102, 063514 (2007)
H.O.K. Kirchner, T. Suzuki, Acta Mater. 46, 305 (1998)
K. Edagawa, H. Koizumi, Y. Kamimura, T. Suzuki, Phil. Mag. A 80, 2591 (2000)
H. Koizumi, Y. Kamimura, T. Suzuki, Phil. Mag. A 80, 609 (2000)
B. Joos, Q. Ren, M.S. Duesbery, Phys. Rev. B 50, 5890 (1994)
R.E. Peierls, Proc. Phys. Soc. 52, 23 (1940)
B. Joos, M.S. Duesbery, Phys. Rev. Lett. 78, 266 (1997)
V.V. Bulatov, E. Kaxiras, Phys. Rev. Lett. 78, 4221 (1997)
S.F. Wang, H.L. Zhang, X.Z. Wu, R.P. Liu, J. Phys.: Condens. Matter 22, 055801 (2010)
S.F. Wang, Phys. Rev. B 65, 094111 (2002)
S.F. Wang, Chinese Phys. 14, 2575 (2005)
S.F. Wang, J. Phys. A Math. Theor. 42, 025208 (2009)
S.F. Wang, R.P. Liu, X.Z. Wu, J. Phys.: Condens. Matter 20, 485207 (2008)
X.Z. Wu, S.F. Wang, Front. Mater. Sci. China 3, 205 (2009)
P.S. Branicio, J.P. Rino, C.K. Gan, H. Tsuzuki, J. Phys.: Condens. Matter 21, 095002 (2009)
J.W. Christian, V. Vitek, Rep. Prog. Phys. 33, 307 (1970)
H.L. Zhang, Physica B 406, 1323 (2011)
S.F. Wang, Phys. Lett. A 313, 408 (2003)
S.F. Wang, Chinese Phys. 15, 1301 (2006)
J.F. Justo, V.V. Bulatov, S. Yip, J. Appl. Phys. 86, 4249 (1999)
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Zhang, H.L., Yuan, C.J. Properties of Shockley partials in InP: core width, Peierls barrier and stress. Eur. Phys. J. B 85, 87 (2012). https://doi.org/10.1140/epjb/e2012-20713-3
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DOI: https://doi.org/10.1140/epjb/e2012-20713-3