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GGA+U study of the electronic energy bands and state density of the wurtzite In1-xGaxN |
Wang Wei-Hua (王伟华)a, Zhao Guo-Zhong (赵国忠)a b, Liang Xi-Xia (梁希侠)a |
a Department of Physics, Inner Mongolia University, Hohhot 010021, China;
b Department of Physics, Capital Normal University, Beijing 100048, China |
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Abstract The electronic band structures, densities of states (DOSs), and projected densities of states (PDOSs) of the wurtzite In1-xGaxN with x=0, 0.0625, 0.125 are studied using the generalized-gradient approximation (GGA) and GGA+U in density functional theory. Our calculations suggest that in the case of wurtzite InN it is important to apply an on-site Hubbard correction to both the d states of indium and the p states of nitrogen in order to recover the correct energy level symmetry and obtain a reliable description of the InN band structure. The method is used to study the electronic properties of the wurtzite In1-xGaxN. The conduction band minimum (CBM) energy increases, while the valence band maximum (VBM) energy decreases with the increase of the gallium concentration. The effect leads to broadening the band gap (BG) and the valence band width (VBW). Furthermore, the compressive strain in the crystal can cause the BG and the VBW to increase with the increase of gallium concentrations.
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Received: 08 March 2013
Revised: 08 May 2013
Accepted manuscript online:
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PACS:
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02.60.Cb
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(Numerical simulation; solution of equations)
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03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 50971094), the Natural Science Foundation of Beijing, China (Grant Nos. KZ201310028032 and 1092007), and the Domestic Visiting Program for the Graduate Students of Inner Mongolia University, China. |
Corresponding Authors:
Zhao Guo-Zhong
E-mail: guozhong-zhao@126.com
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Cite this article:
Wang Wei-Hua (王伟华), Zhao Guo-Zhong (赵国忠), Liang Xi-Xia (梁希侠) GGA+U study of the electronic energy bands and state density of the wurtzite In1-xGaxN 2013 Chin. Phys. B 22 120205
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[1] |
Liu C, Ren Z W, Chen X, Zhao B J, Wang X F, Yin Y A and Li S T 2013 Chin. Phys. B 22 058502
|
[2] |
Aschenbrenner T, Dartsch H, C. Kruse, Anastasescu M, Stoica M, Gartner M, Pretorius A, Rosenauer A, Wanger T and Hommel D 2010 J. Appl. Phys. 108 063533
|
[3] |
Zhang K, Cao M Y, Chen Y H, Yang L Y, Wang C, Ma X H and Hao Y 2013 Chin. Phys. B 22 057304
|
[4] |
Shan W, Walukiewicz W, Haller E E, Little B D, Song J J, McCluskey M D, Johnson N M, Feng Z C, Schurman M and Stall R A 1998 J. Appl. Phys. 84 4452
|
[5] |
Sanford N A, Munkholm A, Krames M R, Shapiro A, Levin I, Davydov A V, Sayan S, Wielunski L S and Madey T E 2005 Phys. Stat. Sol. (c) 7 2783
|
[6] |
Yildiz A, Ożtuŕk M K, Bosi M, Ożçelik S and Kasap M 2009 Chin. Phys. B 18 4007
|
[7] |
Zhang X Y, Chen Z W, Qi Y P, Feng Y, Zhao L, Qi L, Ma M Z, Liu R P and Wang W K 2007 Chin. Phys. Lett. 24 1032
|
[8] |
Furthmüller J, Hahn P H, Fuchs F and Bechstedt F 2005 Phys. Rev. B 72 205106
|
[9] |
Maurya T K, Kumar S and Auluck S 2010 Opt. Commun. 283 4655
|
[10] |
Cococcioni M and de Gironcoli S 2005 Phys. Rev. B 71 035105
|
[11] |
Vladimir I A, Jan Z and Ole K A 1991 Phys. Rev. B 44 943
|
[12] |
Terentjevs A, Catellani A, Prendergast D and Cicero G 2010 Phys. Rev. B 82 165307
|
[13] |
Perdew J P, Burke K and Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
|
[14] |
Giannozzi P, Baroni S, Bonini N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Chiarotti G L, Cococcioni M, Dabo I, Corso A D, de Gironcoli S, Fabris S, Fratesi G, Gebauer R, Gerstmann U, Gougoussis C, Kokalj A, Lazzeri M, Martin-Samos L, Marzari N, Mauri F, Mazzarello R, Paolini S, Pasquarello A, Paulatto L, Sbraccia C, Scandolo S, Sclauzero G, Seitsonen A P, Smogunov A, Umari P and Wentzcovitch R M 2009 J. Phys.: Condens. Matter 21 395502
|
[15] |
Butcher K S A and Tansley T L 2005 Superlattice and Microstructures 38 1
|
[16] |
Methfessel M and Paxton A T 1989 Phys. Rev. B 40 3616
|
[17] |
Kokalj A 2003 Comput. Mater. Sci. 28 155
|
[18] |
Janotii A, Segev D and Van de Walle C G 2006 Phys. Rev. B 74 045202
|
[19] |
Korotin M, Fujiwara T and Anisimov V 2000 Phys. Rev. B 62 5696
|
[20] |
King P D C, Veal T D, McConvile C F, Fuchs F, Furthmüller J, Bechstedt F, Schörmann J, As D J, Lischka K, Lu H and Schaff W J 2008 Phys. Rev. B 77 115213
|
[21] |
Furthmüller J, Hahn P H, Fuchs F and Bechstedt F 2005 Phys. Rev. B 72 205106
|
[22] |
Christensen N E and Gorczyca I 1994 Phys. Rev. B 50 4397
|
[23] |
Zhang S, Shi J J, Zhu S G, Wang F, Yang M and Bao Z Q 2010 Phys. Lett. A 374 4767
|
[24] |
Stampfl C and Van de Walle C G 1999 Phys. Rev. B 59 5521
|
[25] |
Yeo Y C, Chong T C and Li M F 1997 J. Appl. Phys. 83 1429
|
[26] |
Liou B T, Lin C Y, Yen S H and Kuo Y K 2005 Opt. Commun. 249 217
|
[27] |
Gavrilenko V I and Wu R Q 2000 Phys. Rev. B 61 2632
|
[28] |
Wu J, Walukiewicz W, Shan W, Yu K M and Ager J W 2003 J. Appl. Phys. 94 4457
|
[29] |
Piper L F, Veal T D, Jefferson P H and McConville C F 2005 Phys. Rev. B 72 245319
|
[30] |
Wu J, Walukiewicz W, Yu K M, Ager J W and Haller E E 2002 Appl. Phys. Lett. 80 4741
|
[31] |
Wei S H and Zunger A 1988 Phys. Rev. B 37 8958
|
[32] |
Wei S H and Zunger A 1998 Appl. Phys. Lett. 72 2011
|
[33] |
Ferhat M, Furthmüller J and Bechstedt F 2002 Appl. Phys. Lett. 80 1394
|
[34] |
Tit N 2010 J. Alloys Compd. 503 529
|
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