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[1] Kim S, Brown S L, Rossnagel S M, Bruley J, Copel M, Hopstaken M J, Narayanan V, Frank M M 2010 J. Appl. Phys. 107 054102
[2] Tang Z, Fang L, Xu N, Liu R 2015 J. Appl. Phys. 118 80
[3] Tang Z, Chi Y, Fang L, Liu R, Yi X 2014 J. Nanosci. Nanotechnol. 14 1494
[4] Choi B, Jeong D, Kim S, Rohde C, Choi S, Oh J, Kim H, Hwang C, Szot K, Waser R 2005 J. Appl. Phys. 98 033715
[5] Magyari-Köpe B, Tendulkar M, Park S G, Lee H D, Nishi Y 2011 Nanotechnology 22 254029
[6] Ghenzi N, Sánchez M J, Rubi D, Rozenberg M J, Urdaniz C, Weissman M, Levy P 2014 Appl. Phys. Lett. 104 1625
[7] Zhang X C, Zhao L J, Fan C M, Liang Z H, Han P D 2012 Acta Phys. Sin. 61 077101 (in Chinese)[张小超, 赵丽军, 樊彩梅, 梁镇海, 韩培德 2012 物理学报 61 077101]
[8] Hou Q Y, Wu Y, Zhao C W 2013 Acta Phys. Sin. 62 237101 (in Chinese)[侯清玉, 乌云, 赵春旺 2013 物理学报 62 237101]
[9] Lin Q L, Li G P, Xu N N, Liu H, Wang C L 2017 Acta Phys. Sin. 66 037101 (in Chinese)[林俏露, 李公平, 许楠楠, 刘欢, 王苍龙 2017 物理学报 66 037101]
[10] Peng H 2008 Phys. Lett. A 372 1527
[11] Smyth D M 2000 The Defect Chemistry of Metal Oxide (New York:Oxford University Press) pp95-219
[12] Huntington H B, Sullivan G A 1965 Phys. Rev. Lett. 14 932
[13] Iddir H,Öğt S, Zapol P, Browning N D 2007 Phys. Rev. B 75 794
[14] Giannozzi P, Baroni S, Bonini N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Chiarotti G L, Cococcioni M, Dabo I 2009 J. Phys.:Condens. Matter 21 395502
[15] Andreussi O, Brumme T, Bunau O, Buongiorno M N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Cococcioni M, Colonna N 2017 J. Phys.:Condens. Matter 29 465901
[16] Perdew J P, Ruzsinszky A, Csonka G I, Vydrov O A, Scuseria G E, Constantin L A, Zhou X, Burke K 2007 Phys. Rev. Lett. 101 136406
[17] Lejaeghere K, Bihlmayer G, Björkman T, Blaha P, Blgel S, Blum V, Caliste D, Castelli I E, Clark S J, Dal C A 2016 Science 351 aad3000
[18] Sheppard D, Terrell R, Henkelman G 2008 J. Chem. Phys. 128 134106
[19] Momma K, Izumi F 2011 J. Appl. Crystallogr. 44 1272
[20] Henkelman G, Arnaldsson A, Jónsson H 2006 Comput. Mater. Sci. 36 354
[21] Sanville E, Kenny S D, Smith R, Henkelman G 2007 J. Comput. Chem. 28 899
[22] Tang W, Sanville E, Henkelman G 2009 J. Phys.:Condens. Matter 21 084204
[23] Yu M, Trinkle D R 2011 J. Chem. Phys. 134 064111
[24] Nowotny J 2012 Oxide Semiconductors for Solar Energy Conversion-Titanium Dioxide (New York:CRC Press) p150
[25] Diebold U 2003 Surf. Sci. Rep. 48 53
[26] Baumard J F 1976 Solid State Commun. 20 859
[27] Nowotny M, Bak T, Nowotny J 2006 J. Phys. Chem. B 110 16292
[28] Nowotny J, Bak T, Nowotny M, Sheppard C 2005 Phys. Status Solidi b 242 R91
-
[1] Kim S, Brown S L, Rossnagel S M, Bruley J, Copel M, Hopstaken M J, Narayanan V, Frank M M 2010 J. Appl. Phys. 107 054102
[2] Tang Z, Fang L, Xu N, Liu R 2015 J. Appl. Phys. 118 80
[3] Tang Z, Chi Y, Fang L, Liu R, Yi X 2014 J. Nanosci. Nanotechnol. 14 1494
[4] Choi B, Jeong D, Kim S, Rohde C, Choi S, Oh J, Kim H, Hwang C, Szot K, Waser R 2005 J. Appl. Phys. 98 033715
[5] Magyari-Köpe B, Tendulkar M, Park S G, Lee H D, Nishi Y 2011 Nanotechnology 22 254029
[6] Ghenzi N, Sánchez M J, Rubi D, Rozenberg M J, Urdaniz C, Weissman M, Levy P 2014 Appl. Phys. Lett. 104 1625
[7] Zhang X C, Zhao L J, Fan C M, Liang Z H, Han P D 2012 Acta Phys. Sin. 61 077101 (in Chinese)[张小超, 赵丽军, 樊彩梅, 梁镇海, 韩培德 2012 物理学报 61 077101]
[8] Hou Q Y, Wu Y, Zhao C W 2013 Acta Phys. Sin. 62 237101 (in Chinese)[侯清玉, 乌云, 赵春旺 2013 物理学报 62 237101]
[9] Lin Q L, Li G P, Xu N N, Liu H, Wang C L 2017 Acta Phys. Sin. 66 037101 (in Chinese)[林俏露, 李公平, 许楠楠, 刘欢, 王苍龙 2017 物理学报 66 037101]
[10] Peng H 2008 Phys. Lett. A 372 1527
[11] Smyth D M 2000 The Defect Chemistry of Metal Oxide (New York:Oxford University Press) pp95-219
[12] Huntington H B, Sullivan G A 1965 Phys. Rev. Lett. 14 932
[13] Iddir H,Öğt S, Zapol P, Browning N D 2007 Phys. Rev. B 75 794
[14] Giannozzi P, Baroni S, Bonini N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Chiarotti G L, Cococcioni M, Dabo I 2009 J. Phys.:Condens. Matter 21 395502
[15] Andreussi O, Brumme T, Bunau O, Buongiorno M N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Cococcioni M, Colonna N 2017 J. Phys.:Condens. Matter 29 465901
[16] Perdew J P, Ruzsinszky A, Csonka G I, Vydrov O A, Scuseria G E, Constantin L A, Zhou X, Burke K 2007 Phys. Rev. Lett. 101 136406
[17] Lejaeghere K, Bihlmayer G, Björkman T, Blaha P, Blgel S, Blum V, Caliste D, Castelli I E, Clark S J, Dal C A 2016 Science 351 aad3000
[18] Sheppard D, Terrell R, Henkelman G 2008 J. Chem. Phys. 128 134106
[19] Momma K, Izumi F 2011 J. Appl. Crystallogr. 44 1272
[20] Henkelman G, Arnaldsson A, Jónsson H 2006 Comput. Mater. Sci. 36 354
[21] Sanville E, Kenny S D, Smith R, Henkelman G 2007 J. Comput. Chem. 28 899
[22] Tang W, Sanville E, Henkelman G 2009 J. Phys.:Condens. Matter 21 084204
[23] Yu M, Trinkle D R 2011 J. Chem. Phys. 134 064111
[24] Nowotny J 2012 Oxide Semiconductors for Solar Energy Conversion-Titanium Dioxide (New York:CRC Press) p150
[25] Diebold U 2003 Surf. Sci. Rep. 48 53
[26] Baumard J F 1976 Solid State Commun. 20 859
[27] Nowotny M, Bak T, Nowotny J 2006 J. Phys. Chem. B 110 16292
[28] Nowotny J, Bak T, Nowotny M, Sheppard C 2005 Phys. Status Solidi b 242 R91
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