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六角钙钛矿结构锰氧化物HoMnO3磁电效应的研究近年来已成为多铁性材料研究中极其重要的一个方面. 本文基于广义梯度近似下的密度泛函理论, 考虑电子自旋的非共线磁性结构, 计算研究了 d电子在位库仑作用和自旋-轨道耦合作用对HoMnO3的电子结构、 轨道杂化和能态密度分布的影响. 结果显示, 当考虑在位库仑排斥势U作用时, 强烈的Ho 5d与O(3, 4) 2p以及Mn 3d与O(1, 2) 2p间的轨道杂化是驱动HoMnO3发生铁电畸变的根源, 此时能隙和能带的分布为解释实验中发现的强烈的光学吸收峰提供了理论依据, 而自旋-轨道耦合使得Mn 3d-O(3, 4) 2p在 ab平面内的轨道交迭略有增强, 平面内部分能带简并消除, HoMnO3材料呈现典型的间接性能隙绝缘体特征.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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[25] Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
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[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
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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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