Theory of equilibrium shape of an anisotropically strained island: Thermodynamic limits for growth of nanowires

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 19, 2004, Pages 1-4

  Pradhan, Amit ^a   Ma, N Y ^a   Liu, Feng ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; ELASTICITY; MATHEMATICAL ANALYSIS; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; THEORY; THERMODYNAMICS;

EID: 12344262577     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.193405     Document Type: Article

References (16)

1. A. Li, F. Liu, and M.G. Lagally, Phys. Rev. Lett. 85, 1922 (2000).
2. V. Zielasek, F. Liu, Y. Zhao, J.B. Maxson, and M.G. Lagally, Phys. Rev. B 64, 201320(R) (2001).
3. G.E. Thayer, J.B. Hannon, and R.M. Tromp, Nat. Mater. 3, 95 (2004).
4. J. Tersoff and R.M. Tromp, Phys. Rev. Lett. 70, 2782 (1993).
5. D. Loretto, F.M. Ross, and C.A. Lucas, Appl. Phys. Lett. 68, 2363 (1996).
6. K.L Kavanagh, M.C Reuter, and R.M Tromp, J. Cryst. Growth 173, 393 (1997).
7. S.H. Brongersma, M.R. Castell, D.D. Perovic, and M. Zinke-Allmang, Phys. Rev. Lett. 80, 3795 (1998).
8. C. Preinesberger, S. Vandre, T. Kalka, and M. Dahne-Prietsch, J. Phys. D 31, L43 (1998).
9. Y. Chen et al., Appl. Phys. Lett. 76, 4004 (2000).
10. J. Nogami, B.Z. Liu, M.V. Katkov, and C.Ohbuchi, Phys. Rev. B 63, 233305 (2001).
11. A. Li et al., Phys. Rev. Lett. 85, 5380 (2000).
12. D.J. Bottomley, H. Omi, and T. Ogino, J. Cryst. Growth 225, 16 (2001).
13. W.C. Johnson and J.W. Cahn, Acta Metall. 32, 1925 (1984).
14. M.E. Thomson, C.S. Su, and P.W. Voorhees, Acta Metall. Mater. 42, 2107 (1994).
15. L.D. Landau and E.M. Lifshitz, Theory of Elasticity, (Pergamon Press, New York, 1959).
16. Without the second term in Eq. (2), the energy would be the same for both cases and the solid and dashed curves in Fig. 1 would merge together.