27. Mott NF (1938) Trans Faraday Soc 34:500
28. Glutsch S (1994) Excitons in low-dimensional semiconductors. Springer, Berlin
29. Koch SW, Kira M, Khitrova G, Gibbs HM (2006) Nat Mater 5:523
30. Scholes GD, Rumbles G (2006) Nat Mater 5:683
31. Dresselhaus MS, Dresselhaus G, Saito R, Jorio A (2007) Annu Rev Phys Chem 58:719
32. Wheeler DA, Zhang JZ (2013) Adv Mater 25:2878
33. Bardeen CJ (2014) Annu Rev Phys Chem 65:127
34. Dresselhaus G (1956) J Phys Chem Solid 1:14
35. Elliott RJ (1957) Phys Rev 108:1384
36. Haug H, Koch SW (2004) Quantum theory of the optical and electronic properties of solids.
World Scientific, Singapore
37. Baerends EJ, Gritsenko OV, van Meer R (2013) Phys Chem Chem Phys 15:16408
38. Perdew JP, Parr RG, Levy M, Balduz JL (1982) Phys Rev Lett 49:1691
39. Perdew JP, Levy M (1983) Phys Rev Lett 51:1884
40. Kohn W (1986) Phys Rev B 33:4331
41. Godby RW, Schlu ¨ter M, Sham LJ (1986) Phys Rev Lett 56:2415
42. Capelle K, Vignale G, Ullrich CA (2010) Phys Rev B 81:125114
43. Kronik L, Stein T, Refaely-Abramson S, Baer R (2012) J Chem Theor Comput 8:1515
44. Seidl A, G€ orling A, Vogl P, Majewski JA, Levy M (1996) Phys Rev B 53:3764
45. Ku ¨mmel S, Kronik L (2008) Rev Mod Phys 80:3
46. Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem 98:11623
47. Ernzerhof M, Scuseria GE (1999) J Chem Phys 110:5029
48. Paier J, Marsman M, Kresse G (2007) J Chem Phys 127:024103
49. Muscat J, Wander A, Harrison NN (2001) Chem Phys Lett 342:397
50. Heyd J, Scuseria GE, Ernzerhof M (2003) J Chem Phys 118:8207
51. Heyd J, Peralta JE, Scuseria GE, Martin RL (2005) J Chem Phys 112:174101
52. Gerber IC, A ´ ngya ´n JC, Marsman M, Kresse G (2007) J Chem Phys 127:054101
53. Moussa JE, Schultz PE, Chelikowsky JR (2011) J Chem Phys 136:204117
54. Schimka L, Harl J, Kresse G (2011) J Chem Phys 134:024116
55. Henderson TM, Paier P, Scuseria GE (2011) Phys State Solid B 248:767
56. Marques MAL, Vidal J, Oliveira MCT, Reining L, Botti S (2011) Phys Rev B 83:035119
57. Matsushita Y, Nakamura K, Oshiyama A (2011) Phys Rev B 84:075205
58. Friedrich C, Betzinger M, Schlipf M, Blu ¨gel S, Schindlmayr A (2012) J Phys Condens Matter
24:293201
59. Waroquiers D, Lherbier A, Miglio A, Stankovski M, Ponce ´ S, Oliveira MJT, Fiantomassi M,
Rignanese G-M, Gonze X (2013) Phys Rev B 87:075121
60. Tran F, Blaha P (2009) Phys Rev Lett 102:226401
61. Kim Y-S, Marsman M, Kresse G, Tran F, Blaha P (2010) Phys Rev B 82:205212
62. Koller D, Tran F, Blaha P (2011) Phys Rev B 83:195134
63. Koller D, Tran F, Blaha P (2012) Phys Rev B 85:155109
64. Jiang H (2013) J Chem Phys 138:134115
65. Betzinger M, Friedrich C, Blu ¨gel S, G€ orling A (2011) Phys Rev B 83:045105
66. Perdew JP, Ruzsinszky A, Constantin LA, Sun J, Czonka GI (2009) J Chem Theor Comput
5:902
67. Adler SL (1962) Phys Rev 126:413
68. Wiser N (1963) Phys Rev 129:62
69. Hanke W (1978) Adv Phys 27:187
70. Del Sole R, Fiorino E (1984) Phys Rev B 29:4631
71. Giuliani GF, Vignale G (2005) Quantum theory of the electron liquid. Cambridge University
Press, Cambridge
72. Gross EKU, Kohn W (1985) Phys Rev Lett 55:2850
73. Botti S, Sottile F, Vast N, Olevano V, Reining L, Weissker H-C, Rubio A, Onida G, Del
Sole R, Godby RW (2004) Phys Rev B 69:155112
Excitons in Time-Dependent Density-Functional Theory
215
28. Glutsch S (1994) Excitons in low-dimensional semiconductors. Springer, Berlin
29. Koch SW, Kira M, Khitrova G, Gibbs HM (2006) Nat Mater 5:523
30. Scholes GD, Rumbles G (2006) Nat Mater 5:683
31. Dresselhaus MS, Dresselhaus G, Saito R, Jorio A (2007) Annu Rev Phys Chem 58:719
32. Wheeler DA, Zhang JZ (2013) Adv Mater 25:2878
33. Bardeen CJ (2014) Annu Rev Phys Chem 65:127
34. Dresselhaus G (1956) J Phys Chem Solid 1:14
35. Elliott RJ (1957) Phys Rev 108:1384
36. Haug H, Koch SW (2004) Quantum theory of the optical and electronic properties of solids.
World Scientific, Singapore
37. Baerends EJ, Gritsenko OV, van Meer R (2013) Phys Chem Chem Phys 15:16408
38. Perdew JP, Parr RG, Levy M, Balduz JL (1982) Phys Rev Lett 49:1691
39. Perdew JP, Levy M (1983) Phys Rev Lett 51:1884
40. Kohn W (1986) Phys Rev B 33:4331
41. Godby RW, Schlu ¨ter M, Sham LJ (1986) Phys Rev Lett 56:2415
42. Capelle K, Vignale G, Ullrich CA (2010) Phys Rev B 81:125114
43. Kronik L, Stein T, Refaely-Abramson S, Baer R (2012) J Chem Theor Comput 8:1515
44. Seidl A, G€ orling A, Vogl P, Majewski JA, Levy M (1996) Phys Rev B 53:3764
45. Ku ¨mmel S, Kronik L (2008) Rev Mod Phys 80:3
46. Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem 98:11623
47. Ernzerhof M, Scuseria GE (1999) J Chem Phys 110:5029
48. Paier J, Marsman M, Kresse G (2007) J Chem Phys 127:024103
49. Muscat J, Wander A, Harrison NN (2001) Chem Phys Lett 342:397
50. Heyd J, Scuseria GE, Ernzerhof M (2003) J Chem Phys 118:8207
51. Heyd J, Peralta JE, Scuseria GE, Martin RL (2005) J Chem Phys 112:174101
52. Gerber IC, A ´ ngya ´n JC, Marsman M, Kresse G (2007) J Chem Phys 127:054101
53. Moussa JE, Schultz PE, Chelikowsky JR (2011) J Chem Phys 136:204117
54. Schimka L, Harl J, Kresse G (2011) J Chem Phys 134:024116
55. Henderson TM, Paier P, Scuseria GE (2011) Phys State Solid B 248:767
56. Marques MAL, Vidal J, Oliveira MCT, Reining L, Botti S (2011) Phys Rev B 83:035119
57. Matsushita Y, Nakamura K, Oshiyama A (2011) Phys Rev B 84:075205
58. Friedrich C, Betzinger M, Schlipf M, Blu ¨gel S, Schindlmayr A (2012) J Phys Condens Matter
24:293201
59. Waroquiers D, Lherbier A, Miglio A, Stankovski M, Ponce ´ S, Oliveira MJT, Fiantomassi M,
Rignanese G-M, Gonze X (2013) Phys Rev B 87:075121
60. Tran F, Blaha P (2009) Phys Rev Lett 102:226401
61. Kim Y-S, Marsman M, Kresse G, Tran F, Blaha P (2010) Phys Rev B 82:205212
62. Koller D, Tran F, Blaha P (2011) Phys Rev B 83:195134
63. Koller D, Tran F, Blaha P (2012) Phys Rev B 85:155109
64. Jiang H (2013) J Chem Phys 138:134115
65. Betzinger M, Friedrich C, Blu ¨gel S, G€ orling A (2011) Phys Rev B 83:045105
66. Perdew JP, Ruzsinszky A, Constantin LA, Sun J, Czonka GI (2009) J Chem Theor Comput
5:902
67. Adler SL (1962) Phys Rev 126:413
68. Wiser N (1963) Phys Rev 129:62
69. Hanke W (1978) Adv Phys 27:187
70. Del Sole R, Fiorino E (1984) Phys Rev B 29:4631
71. Giuliani GF, Vignale G (2005) Quantum theory of the electron liquid. Cambridge University
Press, Cambridge
72. Gross EKU, Kohn W (1985) Phys Rev Lett 55:2850
73. Botti S, Sottile F, Vast N, Olevano V, Reining L, Weissker H-C, Rubio A, Onida G, Del
Sole R, Godby RW (2004) Phys Rev B 69:155112
Excitons in Time-Dependent Density-Functional Theory
215