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In this paper, we first introduce two basic methods for calculating the positron wave function: the finite differential method and the plane wave method (PW). Then taking Si as an example, we calculate the positron wave function from the wave function, and get the positron density distribution in silicon. Then we obtain the bulk positron lifetime from the positron density. The calculation result agrees with our latest experimental result of 220 ps. At last, we discuss the respective advantages and disadvantages of the two methods.
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Keywords:
- positron /
- wave function
[1] Schultz P J, Lynn K G 1988 Rev. Mod. Phys. 60 701
[2] Barbiellini B, Puska M J, Korhonen T, Harju A, Torsti T, Nieminen R M 1996 Phys. Rev.B 53 16201
[3] Hakkinen H, Makinen S, Manninen M 1990 Phys. Rev. B 41 12441
[4] Sterne P A, Kaiser J H 1991 Phys. Rev.B 43 13892
[5] Barbiellini B, Puska M J, Korhonen M, Harju A, Torsti T, Nieminen R M 1996 Phys. Rev. B 53 16201
[6] Puska M J 1991 J. Phys. : Condens. Matter 3 3455
[7] Chen X L, Xi C Y, Ye B J, Weng H M 2007 Acta Phys. Sin. 56 (in Chinese) 6695 [陈祥磊、郗传英、叶邦角、翁惠民2007 56 6695]
[8] Chen X L, Kong W, Weng H M, Ye B J 2008 Acta Phys. Sin. 3271 (in Chinese)[陈祥磊、孔 伟、翁惠民、叶邦角2008 57 3271]
[9] Soudini B, Bensaad Z, Abid H, Doui-Aici M 2003 Mater.Chem.Phys. 80 6
[10] Benosman N, Amrane N, Mecabih S, Aourag H 2000 Mater. Chem. Phys. 61 1727
[11] Amrane N 2009 Mater. Chem. Phys. 114 283
[12] Hodges C H, Stott M J 1973 Phys. Rev. B 7 73
[13] Makhov D V, Lewis L J 2005 Phys.Rev. B 71 205215
[14] Barbiellini B, Genoud P, Jarlborg T 1991 J. Phys. : Condens. Matter 3 7631
[15] Gupta R P, Siegel R W 1980 Phys. Rev. B 22 4572
[16] Puska M J, Nieminen R M 1994 Rev. Mod. Phys. 66 841
[17] Nieminen R M, Puska M J 1983 Phys. Rev.Lett. 50 281
[18] Boronski E, Nieminen R M 1986 Phys. Rev. B 34 3820
[19] Tang Z, Hasegawa M, Nagai Y, Saito M, Kawazoe Y 2002 Phys. Rev. B 65 045108
[20] Daniuk S, Sob M, Rubaszek A 1991 Phys. Rev. B 43 2580
[21] Rubaszek A, Szotek Z, Temmerman W M 1998 Phys. Rev. B 58 11285
[22] Rubaszek A, Szotek Z, Temmerman W M 2000 Phys. Rev.B 61 10100
[23] Puska M J, Nieminen R M 1984 Phys. Rev. B 29 5382
[24] Puska M J, Corbel C 1988 Phys. Rev. B 38 9874
[25] Hubbard C R, Swanson H E, Mauer F A 1975 J. Appl. Crystallogr. 8 45
[26] Puska M J, Makinen S, Manninen M, Nieminen R M 1989 Phys.Rev.B 39 7666
[27] Panda B K, Brauer G, Skorupa W 2000 Phys. Rev. B 61 15
[28] Fuhs W, Holzhauer V, Mantl S, Richter F W, Sturm R 1978 Phys. Status Solidi B 89 69
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[1] Schultz P J, Lynn K G 1988 Rev. Mod. Phys. 60 701
[2] Barbiellini B, Puska M J, Korhonen T, Harju A, Torsti T, Nieminen R M 1996 Phys. Rev.B 53 16201
[3] Hakkinen H, Makinen S, Manninen M 1990 Phys. Rev. B 41 12441
[4] Sterne P A, Kaiser J H 1991 Phys. Rev.B 43 13892
[5] Barbiellini B, Puska M J, Korhonen M, Harju A, Torsti T, Nieminen R M 1996 Phys. Rev. B 53 16201
[6] Puska M J 1991 J. Phys. : Condens. Matter 3 3455
[7] Chen X L, Xi C Y, Ye B J, Weng H M 2007 Acta Phys. Sin. 56 (in Chinese) 6695 [陈祥磊、郗传英、叶邦角、翁惠民2007 56 6695]
[8] Chen X L, Kong W, Weng H M, Ye B J 2008 Acta Phys. Sin. 3271 (in Chinese)[陈祥磊、孔 伟、翁惠民、叶邦角2008 57 3271]
[9] Soudini B, Bensaad Z, Abid H, Doui-Aici M 2003 Mater.Chem.Phys. 80 6
[10] Benosman N, Amrane N, Mecabih S, Aourag H 2000 Mater. Chem. Phys. 61 1727
[11] Amrane N 2009 Mater. Chem. Phys. 114 283
[12] Hodges C H, Stott M J 1973 Phys. Rev. B 7 73
[13] Makhov D V, Lewis L J 2005 Phys.Rev. B 71 205215
[14] Barbiellini B, Genoud P, Jarlborg T 1991 J. Phys. : Condens. Matter 3 7631
[15] Gupta R P, Siegel R W 1980 Phys. Rev. B 22 4572
[16] Puska M J, Nieminen R M 1994 Rev. Mod. Phys. 66 841
[17] Nieminen R M, Puska M J 1983 Phys. Rev.Lett. 50 281
[18] Boronski E, Nieminen R M 1986 Phys. Rev. B 34 3820
[19] Tang Z, Hasegawa M, Nagai Y, Saito M, Kawazoe Y 2002 Phys. Rev. B 65 045108
[20] Daniuk S, Sob M, Rubaszek A 1991 Phys. Rev. B 43 2580
[21] Rubaszek A, Szotek Z, Temmerman W M 1998 Phys. Rev. B 58 11285
[22] Rubaszek A, Szotek Z, Temmerman W M 2000 Phys. Rev.B 61 10100
[23] Puska M J, Nieminen R M 1984 Phys. Rev. B 29 5382
[24] Puska M J, Corbel C 1988 Phys. Rev. B 38 9874
[25] Hubbard C R, Swanson H E, Mauer F A 1975 J. Appl. Crystallogr. 8 45
[26] Puska M J, Makinen S, Manninen M, Nieminen R M 1989 Phys.Rev.B 39 7666
[27] Panda B K, Brauer G, Skorupa W 2000 Phys. Rev. B 61 15
[28] Fuhs W, Holzhauer V, Mantl S, Richter F W, Sturm R 1978 Phys. Status Solidi B 89 69
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