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The study on magnetoelectric effect in hexagonal perovskite structure HoMnO3 has become a very important aspect in the research of multiferroic materials. In this paper, using the first principles based on the generalized gradient approximation of density functional theory and considering the noncollinear magnetic structure calculation, the effects of the interation between on-site Coulomb of d electron and spin-orbit coupling on the electronic density of states and energy band structure of HoMnO3 are calculated and investigated. The calculations show that due to the on-site Coulomb interaction, the strong hybridization of Ho 5d with O(3, 4) 2p and Mn 3d with O(1, 2) 2p orbits are considered as the origin of driving force for the ferroelectric distortion. At the same time, the distributions of the energy gap and energy band provide a theoretical support for the explanation of strong optical absorption peak in experiment. In addition, the spin-orbit coupling makes the orbital hybridization of Mn 3d with O(3, 4) 2p within the ab plane strengthened, and the partial energy degeneracy in the ab plane is eliminated. The HoMnO3 is shown to possess the insulator characteristics of typical indirect energy gap.
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Keywords:
- magnetoelectric effect /
- ferroelectric distortion /
- electron density of states /
- optical absorption
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[2] Wang K F, Liu J M, Ren Z F 2009 Adv. Phys. 58 321
[3] Lottermoser T, Lonkai T, Amann U, Hohlwein D, Ihringer J, Fiebig M 2004 Nature 430 541
[4] Wadati H, Okamoto J, Garganourakis M, Scagnoli V, Staub U, Yamasaki Y, Nakao H, Murakami Y, Mochizuki M, Nakamura M, Kawasaki M, Tokura Y 2012 Phys. Rev. Lett. 108 047203
[5] Han T C, Lin J G 2009 Appl. Phys. Lett. 94 082502
[6] Cheong S W, Mostovoy M 2007 Nature Mater. 6 13
[7] Eerenstein W, Mathur N D, Scott J F 2006 Nature 442 759
[8] Litvinchuk A P, Iliev M N, Popov V N 2004 J. Phys.: Condens. Matter 16 809
[9] Vajk O P, Kenzelmann M, Lynn J W, Kim S B, Cheong S W 2005 Phys. Rev. Lett. 94 087601
[10] Katsufuji T, Mori S, Masaki M, Moritomo Y, Yamamoto N, Takagi H 2001 Phys. Rev. B 64 104419
[11] Ueland B G, Lynn J W, Laver M, Choi Y J, Cheong S W 2010 Phys. Rev. Lett. 104 147204
[12] Hur N, Jeong I K, Hundley M F, Kim S B, Cheong S B 2009 Phys. Rev. B 79 134120
[13] Vermette J, Jandl S, Orlita M, Gospodinov M M 2012 Phys. Rev. B 85 134445
[14] Zhong C G, Chen Q, Dong Z C, Fang J H 2011 Journal of Nantong University (Nat. Sci. Ed.) 10 58 (in Chinese) [仲崇贵, 陈强, 董正超, 方靖淮 2011 南通大学学报 (自然科学版) 10 58]
[15] Guo X, Wang X, Zheng W, Tang W H 2010 Acta Phys. Sin. 59 2815 (in Chinese) [郭熹, 王霞, 郑鹉, 唐为华 2010 59 2815]
[16] Zhong C G, Cao H X, Fang J H, Jiang X F, Ji X M, Dong Z C 2010 Appl. Phys. Lett. 97 049103
[17] Oak M A, Lee J H, Jang H M 2011 Phys. Rev. B 84 153106
[18] Zhong C G, Fang J H, Yang J H, Dong Z C, Jiang X F 2011 Acta Phys. Chim. Sin. 27 388 (in Chinese) [仲崇贵, 方靖淮, 杨建华, 董正超, 江学范2011 物理化学学报 27 388]
[19] Mochizuki M, Furukawa N 2009 J. Phys. Soc. Jpn. 78 053704
[20] Mochizuki M, Furukawa N 2009 Phys. Rev. B 80 134416
[21] Lorenz B, Litvinchuk A P, Gospodinov M M, Chu C W 2004 Phys. Rev. Lett. 92 087204
[22] Brown P J, Chatterji T 2008 Phys. Rev. B 77 104407
[23] Fiebig M, Lottermoser T, Pisarec R V 2003 J. Appl. Phys. 93 8194
[24] Nandi S, Kreyssig A, Tan L Kim J W, Yan J Q, Lang J C, Haskel D, McQueeney J, Goldman A I 2008 Phys. Rev. Lett. 100 217201
[25] Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
[26] Blochl P E 1994 Phys. Rev. B 50 17953
[27] Kresse G, Joubert D 1999 Phys. Rev. B 59 1758
[28] Choi W S, Kim D G, Seo S S A, Moon S J, Lee D, Lee J H, Lee H S 2008 Phys. Rev. B 77 045137
[29] Kang J S, Han S W, Park J G, Wi S C, Lee S S, Kim G, Song H J, Shin H J, Jo W, Min B I 2005 Phys. Rev. B 71 092405
[30] Souchkov A B, Simpson J R, Quijada M, Ishibashi H, Hur N, Ahn J S, Cheong S W, Millis A J, Drew H D 2003 Phys. Rev. Lett. 91 027203
[31] Lee J S, Lee Y S, Noh T W, Char K, Park J, Oh S J, Park J H, Eom C B, Takeda T, Kanno R 2001 Phys. Rev. B 64 245107
[32] Filippetti A, Hill N A 2002 Phys. Rev. B 65 195120
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[1] Ma J, Hu J M, Li Z, Nan C W 2011 Adv. Mater. 23 1062
[2] Wang K F, Liu J M, Ren Z F 2009 Adv. Phys. 58 321
[3] Lottermoser T, Lonkai T, Amann U, Hohlwein D, Ihringer J, Fiebig M 2004 Nature 430 541
[4] Wadati H, Okamoto J, Garganourakis M, Scagnoli V, Staub U, Yamasaki Y, Nakao H, Murakami Y, Mochizuki M, Nakamura M, Kawasaki M, Tokura Y 2012 Phys. Rev. Lett. 108 047203
[5] Han T C, Lin J G 2009 Appl. Phys. Lett. 94 082502
[6] Cheong S W, Mostovoy M 2007 Nature Mater. 6 13
[7] Eerenstein W, Mathur N D, Scott J F 2006 Nature 442 759
[8] Litvinchuk A P, Iliev M N, Popov V N 2004 J. Phys.: Condens. Matter 16 809
[9] Vajk O P, Kenzelmann M, Lynn J W, Kim S B, Cheong S W 2005 Phys. Rev. Lett. 94 087601
[10] Katsufuji T, Mori S, Masaki M, Moritomo Y, Yamamoto N, Takagi H 2001 Phys. Rev. B 64 104419
[11] Ueland B G, Lynn J W, Laver M, Choi Y J, Cheong S W 2010 Phys. Rev. Lett. 104 147204
[12] Hur N, Jeong I K, Hundley M F, Kim S B, Cheong S B 2009 Phys. Rev. B 79 134120
[13] Vermette J, Jandl S, Orlita M, Gospodinov M M 2012 Phys. Rev. B 85 134445
[14] Zhong C G, Chen Q, Dong Z C, Fang J H 2011 Journal of Nantong University (Nat. Sci. Ed.) 10 58 (in Chinese) [仲崇贵, 陈强, 董正超, 方靖淮 2011 南通大学学报 (自然科学版) 10 58]
[15] Guo X, Wang X, Zheng W, Tang W H 2010 Acta Phys. Sin. 59 2815 (in Chinese) [郭熹, 王霞, 郑鹉, 唐为华 2010 59 2815]
[16] Zhong C G, Cao H X, Fang J H, Jiang X F, Ji X M, Dong Z C 2010 Appl. Phys. Lett. 97 049103
[17] Oak M A, Lee J H, Jang H M 2011 Phys. Rev. B 84 153106
[18] Zhong C G, Fang J H, Yang J H, Dong Z C, Jiang X F 2011 Acta Phys. Chim. Sin. 27 388 (in Chinese) [仲崇贵, 方靖淮, 杨建华, 董正超, 江学范2011 物理化学学报 27 388]
[19] Mochizuki M, Furukawa N 2009 J. Phys. Soc. Jpn. 78 053704
[20] Mochizuki M, Furukawa N 2009 Phys. Rev. B 80 134416
[21] Lorenz B, Litvinchuk A P, Gospodinov M M, Chu C W 2004 Phys. Rev. Lett. 92 087204
[22] Brown P J, Chatterji T 2008 Phys. Rev. B 77 104407
[23] Fiebig M, Lottermoser T, Pisarec R V 2003 J. Appl. Phys. 93 8194
[24] Nandi S, Kreyssig A, Tan L Kim J W, Yan J Q, Lang J C, Haskel D, McQueeney J, Goldman A I 2008 Phys. Rev. Lett. 100 217201
[25] Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
[26] Blochl P E 1994 Phys. Rev. B 50 17953
[27] Kresse G, Joubert D 1999 Phys. Rev. B 59 1758
[28] Choi W S, Kim D G, Seo S S A, Moon S J, Lee D, Lee J H, Lee H S 2008 Phys. Rev. B 77 045137
[29] Kang J S, Han S W, Park J G, Wi S C, Lee S S, Kim G, Song H J, Shin H J, Jo W, Min B I 2005 Phys. Rev. B 71 092405
[30] Souchkov A B, Simpson J R, Quijada M, Ishibashi H, Hur N, Ahn J S, Cheong S W, Millis A J, Drew H D 2003 Phys. Rev. Lett. 91 027203
[31] Lee J S, Lee Y S, Noh T W, Char K, Park J, Oh S J, Park J H, Eom C B, Takeda T, Kanno R 2001 Phys. Rev. B 64 245107
[32] Filippetti A, Hill N A 2002 Phys. Rev. B 65 195120
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