Phase stability in silicon from the point of view of the bond order

References

• Allan , G. 1970 . Annls. Phys., Paris , 5 : 169
   Google Scholar
• Ballantine , L. E. and Kolar , M. 1986 . J. Phys. C , 19 : 981
   Google Scholar
• Beer , N. and Pettifor , D. G. 1984 . Electronic Structure of Complex Systems , Edited by: Phariseau , P. and Temmerman , W. 769 New York : Plenum .
   Google Scholar
• Besson , M. , DeLeo , G. G. and Fowler , W. B. 1986 . Phys. Rev. B , 33 : 8188
   Web of Science ®Google Scholar
• Bullett , D. W. 1980 . Solid St. Phys. , 35 : 129
   Google Scholar
• Chadi , D. J. 1978 . Phys. Rev. Lett. , 41 : 1062 1979, Phys. Rev. B, 19, 2074; 1984, Ibid., 29, 785.
   Web of Science ®Google Scholar
• Chang , K. J. and Cohen , M. L. 1985 . Phys. Rev. B , 31 : 7819
   Web of Science ®Google Scholar
• Coulson , C. A. 1939 . Proc. R. Soc., Lond. A , 169 : 413
   Google Scholar
• Cyrot-Lackmann , F. 1968 . J. Phys. Chem. Solids , 29 : 1235
   Web of Science ®Google Scholar
• Ducastelle , F. and Cyrot-Lackmann , F. 1970 . J. Phys. Chem. Solids , 31 : 1295 1971, Ibid., 32, 285.
   Web of Science ®Google Scholar
• Economou , E. N. 1983 . Green's Functions in Quantum Physics , second edition , 8 Berlin : Springer-Verlag .
   Google Scholar
• Finnis , M. W. 1987 . Chemistry and Physics of Fracture , Edited by: Latanision , R. M. and Jones , R. H. 177 Dordrecht : Martinus Nijhoff .
   Google Scholar
• Finnis , M. W. , Paxton , A. T. , Pettifor , D. G. , Sutton , A. P. and Ohta , Y. 1988 . Phil. Mag. A , 58 : 143
   Google Scholar
• Finnis , M. W. and Pettifor , D. G. 1985 . The Recursion Method and its Applications , Edited by: Pettifor , D. G. and Weaire , D. L. 120 Berlin : Springer-Verlag .
   Google Scholar
• Friedel , J. 1964 . Trans. Am. Inst. Min. metall. Petrol. Engrs , 230 : 616
   Google Scholar
• Foulkes , M. 1987 . University of Cambridge . Ph.D. Thesis
   Google Scholar
• Foulkes , M. and Haydock , R. 1986 . J. Phys. C , 19 : 6573
   Google Scholar
• Gallagher , J. M. 1978 . Ph.D. Thesis, University of Cambridge ,
   Google Scholar
• Glanville , S. , Paxton , A. T. and Finnis , M. W. 1988 . J. Phys. F , 18 : 693
   Google Scholar
• Gordon , R. G. 1968 . J. math. Phys. , 9 : 655
   Web of Science ®Google Scholar
• Gou-Xin , Q. and Chadi , D. J. 1987 . Phys. Rev. B , 35 : 1288
   Google Scholar
• Graffi , S. and Grecchi , V. 1974 . Commun. math. Phys. , 35 : 235
   Web of Science ®Google Scholar
• Harris , J. 1985 . Phys. Rev. B , 31 : 1770
   PubMed Web of Science ®Google Scholar
• Harrison , W. A. 1980 . Electronic Structure and the Properties of Solids , San Francisco , California : W. H. Freeman .
   Google Scholar
• Haydock , R. 1980 . Solid St. Phys. , 35 : 215
   Web of Science ®Google Scholar
• Heine , V. 1980 . Solid St. Phys. , 35 : 1
   Google Scholar
• Heine , V. and Jones , R. O. 1969 . J. Phys. C , 2 : 719
   Web of Science ®Google Scholar
• Inoue , J. and Ohta , Y. 1987 . J. Phys. C , 20 : 1947
   Google Scholar
• Jacobsen , L. 1985 . Proc. Lond. math. Soc. , 51 : 563
   Web of Science ®Google Scholar
• Johannes , R. L. , Haydock , R. and Heine , V. 1976 . Phys. Rev. Lett. , 36 : 372
   Web of Science ®Google Scholar
• Jones , R. and Lewis , M. W. 1984 . Phil. Mag. B , 49 : 95
   Web of Science ®Google Scholar
• Jones , W. B. and Thron , W. J. 1980 . Continued Fractions: Analytic Theory and Applications. Encyclopedia of Mathematics and its Applications , Edited by: Rota , G.-C. Vol. 11 , 256 Reading , Massachusetts : Addison Wesley .
   Google Scholar
• Krein , M. 1949 . Dokl. Akad. Nauk SSSR , 69 : 125
   Google Scholar
• Legrand , B. 1985 . Phil. Mag. A , 52 : 83
   Google Scholar
• Magnus , A. 1985 . The Recursion Method and its Applications , Edited by: Pettifor , D. G. and Weaire , D. L. 22 Berlin : Springer .
   Google Scholar
• Markov , A. 1895 . Acta math. , 19 : 93
   Google Scholar
• Mead , L. R. and Papanicolaou , N. 1984 . J. math. Phys. , 25 : 2404
   Web of Science ®Google Scholar
• Mostoller , M. and Kaplan , T. 1979 . Phys. Rev. B , 19 : 552
   Google Scholar
• Nex , C. M. M. 1978 . J. Phys. A , 11 : 653 1984, Comput. Phys. Commun., 34, 101; 1985, The Recursion Method and its Applications, edited by D. G. Pettifor and D. L. Weaire (Berlin: Springer-Verlag), p. 22; 1988, Paper presented at MSI workshop on Practical Iterative Methods for Large-Scale Computations (to be published).
   Google Scholar
• Paxton , A. T. 1987 . University of Oxford . D.Phil. Thesis
   Google Scholar
• Paxton , A. T. and Sutton , A. P. 1988 . J. Phys. C , 21 : L481
   Google Scholar
• Paxton , A. T. , Sutton , A. P. and Nex , C. M. M. 1987 . J. Phys. C , 20 : L263
   Google Scholar
• Ohta , Y. , Finnis , M. W. , Pettifor , D. G. and Sutton , A. P. 1987 . J. Phys. F , 17 : L273
   Google Scholar
• Pettifor , D. G. 1977 . J. Phys. F , 7 : 613 1978, Solid St. Commun., 28, 621; 1987, Solid St. Phys., 40, 43.
   Google Scholar
• Phillips , J. C. 1973 . Bonds and Bands in Semiconductors , 147 New York : Academic Press .
   Google Scholar
• Robertson , J. 1983 . Phil. Mag. B , 47 : L33
   Google Scholar
• Seongbok , Lee. , Sanchez-Dehesa , J. and Dow , J. D. 1985 . Phys. Rev., B , 32 : 1152
   Google Scholar
• Slater , J. C. and Koster , G. F. 1954 . Phys. Rev. , 94 : 1498
   Web of Science ®Google Scholar
• Sutton , A. P. , Finnis , M. W. , Pettifor , D. G. and Ohta , Y. 1988 . J. Phys. C , 21 : 35
   Web of Science ®Google Scholar
• Tan , T. Y. , Föll , H. and Hu , S. M. 1981 . Phil. Mag. A , 44 : 127
   Google Scholar
• Thomson , R. E. and Chadi , D. J. 1984 . Phys. Rev. B , 29 : 889
   Web of Science ®Google Scholar
• Williams , A. R. , Feibelman , P. J. and Lang , N. D. 1982 . Phys. Rev. B , 26 : 5433
   Web of Science ®Google Scholar
• Yin , M. T. and Cohen , M. L. 1982 . Phys. Rev. B , 26 : 5668
   Web of Science ®Google Scholar
• Yuan , Li. and Lin-Chung , P. J. 1983 . Phys. Rev. B , 27 : 3465
   Web of Science ®Google Scholar