Ca$_{\textbf{0.5}}$Ba$_{\textbf{0.5}}$MnO$_{\textbf{3}}$多铁性的第一性原理
收稿日期: 2017-05-26
网络出版日期: 2019-09-04
Homologous multiferroicity in Ca$_{\textbf{0.5}}$Ba$_{\textbf{0.5}}$MnO$_{\textbf{3}}$ from first-principle investigation
Received date: 2017-05-26
Online published: 2019-09-04
利用第一性原理电子结构计算方法, 通过对 CaMnO$_{3}$, BaMnO$_{3}$的软声子模式分析, 构造出一种 Ca$_{0.5}$Ba$_{0.5}$MnO$_{3}$(CBMO)合金结构. 此合金可同时具有源于 Mn 原子的铁电(ferroelectric, FE) 性与铁磁(ferromagnetic, FM)性, 其中 G 型反铁磁(antiferromagnetic, AFM)构型下的 电极化强度为 6.70 $\mu $C/cm$^{2}$, 铁磁构型下的电极化强度为 23.214 $\mu $C/cm$^{2}$. 其产生的机制是半径较大的 Ba 原子可导致晶格发生应变, 产生有效负压, 减弱 CaMnO$_{3}$的反铁畸变(antiferrodistortive, AFD)模对铁电模的抑制, 进而诱导铁电极化. 此性质意味着这种材料在磁场的作用下, 由 G 型反铁磁构型转变为 铁磁构型时的电极化强度会发生显著变化. 基于第一性原理电子结构计算给出的不同磁结构总能, 进一步拟合出了海森堡模型的参数, 并针对其哈密顿量展开了有限温度下的 Monte-Carlo 模拟, 模拟出的奈尔温度为 70 K. 这些结果从理论层面提出了一种新型的、 源于相同原子的, 并可能提供有效磁电耦合的多铁材料, 并且可以为今后类似系统的相关实验提供理论参考.
金山, 靳锡联, 焦正, 孟醒 . Ca$_{\textbf{0.5}}$Ba$_{\textbf{0.5}}$MnO$_{\textbf{3}}$多铁性的第一性原理[J]. 上海大学学报(自然科学版), 2019 , 25(4) : 590 -596 . DOI: 10.12066/j.issn.1007-2861.1948
Using first-principle electronic structure calculations, a new alloy structure with Ca$_{0.5}$Ba$_{0.5}$MnO$_3$ (CBMO) stoichiometry is found, which possesses ferromagnetic (FM) and ferroelectric (FE) originating from Mn (6.70 $\mu $C/cm$^{2}$ in the G-type antiferromagnetic (AFM) structure and 23.214 $\mu $C/cm$^{2}$ in the FM structure). By applying a strong external magnetic field, FM properties can change dramatically, indicating a strong coupling between FM and FE properties. The large radius of Ba atom in CBMO suppresses the antiferrodistortive (AFD) mode, and enhances ferroelectricity associated with the FE mode. By comparing the whole different magnetic structures, parameters are further generated for the Heisenberg model and Monte-Carlo simulations are perpormed at finite temperatures. The simulated Néel temperature is 70 K. This study gives a candidate structure for multiferroics applications. In the meantime, it also provides theoretical references to further experimental studies in similar systems.
| [1] | Rondinelli J M, Eidelson A S, Spaldin N A . Non-d$_0$ Mn-driven ferroelectricity in anti- ferromagnetic BaMnO$_3$[J]. Phys Rev B, 2009,79:205119. |
| [2] | Cohen R E . Origin of ferroelectricity in perovskite oxides[J]. Nature, 1992,358:136-138. |
| [3] | Neaton J B, Ederer C, Waghmare U V , et al. First-principles study of spontaneous polarization in multiferroic BiFeO$_3$[J]. Phys Rev B, 2005,71:014113. |
| [4] | Bhattacharjee S, Bousquet E, Ghosez P . Engineering multiferroism in CaMnO$_{3}$[J]. Phys Rev Lett, 2009,102:117602. |
| [5] | Hill N A . Why are there so few magnetic ferroelectrics[J]. J PhysChem B, 2000,104(29):6694-6709. |
| [6] | Wu X F, Rabe K M, Vanderbilt D . Interfacial enhancement of ferroelectricity in CaTiO$_3$/BaTiO$_3$ Superlattices[J]. Phys Rev B, 2011,83:020104. |
| [7] | Heisenberg W K . Zur theorie des ferromagnetismus[J]. Z Phys, 1928,49:619-636. |
| [8] | Cao K, Guo G C, Vanderbilt D , et al. First-principles modeling of multiferroic RMn$_{2}$O$_{5}$[J]. Phys Rev Lett, 2009,103:257201. |
| [9] | Kresse G, Hafner J . Ab initio molecular dynamics for liquid metals[J]. Phys Rev B, 1993,47:558-561. |
| [10] | Kresse G, Furthmüller J . Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set[J]. Phys Rev B, 1996,54:11169-11186. |
| [11] | Perdew J P, Ruzsinszky A, Csonka G I , et al. Restoring the density-gradient expansion for exchange in solids and surfaces[J]. Phys Rev Lett, 2008,102:039902. |
| [12] | Perdew J P, Wang Y . Accurate and simple analytic representation of the electron-gas correlation energy[J]. Phys Rev B, 1992,45:13244. |
| [13] | Anisimov V I, Zaanen J, Andersen O K . Band theory and Mott insulators: Hubbard U instead of Stoner I[J]. Phys Rev B, 1991,44:943. |
| [14] | Resta R . Theory of the electric polarization in crystals[J]. Ferroelectrics, 1992,136:51-55. |
| [15] | King-Smith R D, Vanderbilt D . Theory of polarization of crystalline solids[J]. Phys Rev B, 1993,47:1651-1654. |
| [16] | Resta R . Macroscopic polarization in crystalline dielectrics: the geometric phase approach[J]. Rev Mod Phys, 1994,66:899-915. |
| [17] | Lee J H, Rabe K M . Coupled magnetic-ferroelectric metal-insulator transition in epitaxially strained srCoO$_3$ from first principles[J]. Phys Rev Lett, 2011,107:067601. |
| [18] | Togo A, Oba F, Tanaka I . First-principles calculations of the ferroelastic transition between rutile-type and CaCl$_{2}$-type SiO$_{2}$ at high pressures[J]. Phy Rev B, 2008,78:134106. |
| [19] | Metropolis N, Rosenbluth A, Rosenbluth M N , et al. Equation of state calculations by fast computing machines[J]. J Chem Phys, 1953,21:1087-1092. |
| [20] | Goodenough J B . Theory of the role of covalence in the perovskite-type manganites [La, M(Ⅱ)] MnO$_3$[J]. Phys Rev, 1955,100:564-573. |
| [21] | Goodenough J B . An interpretation of the magnetic properties of the perovskite-type mixed crystals La$_{1-x}$Sr$_{x}$CoO$_{3-\lambda }$[J]. J PhysChem Solids, 1958,6:287-297. |
| [22] | Kanamori J . Superexchange interaction and symmetry properties of electron orbitals[J]. J Phys Chem Solids, 1959,10:87-98. |
/
| 〈 |
|
〉 |