Double-exchange model study of multiferroic RMnO3 perovskites

Dong, Shuai; Yu, Rong; Yunoki, Seiji; Liu, J.-M.; Dagotto, Elbio R.

doi:10.1140/epjb/e2009-00225-1

Double-exchange model study of multiferroic RMnO₃ perovskites

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · European Physical Journal. B, Condensed Matter and Complex Systems

DOI:https://doi.org/10.1140/epjb/e2009-00225-1· OSTI ID:971241

Dong, Shuai ^[1]; Yu, Rong ^[1]; Yunoki, Seiji ^[2]; Liu, J.-M. ^[3]; Dagotto, Elbio R. ^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
RIKEN, Saitama (Japan)
Nanjing Univ. (China). Nanjing National Lab. of Microstructures (NNLM)

In this proceeding, recent theoretical investigations by the authors on the multiferroic RMnO₃ perovskites are briefly reviewed at first. Using the double-exchange model, the realistic spiral spin order in undoped manganites such as TbMnO₃ and DyMnO₃ is well reproduced by incorporating a weak next-nearest neighbor superexchange (~10% of nearest neighbor superexchange) and moderate Jahn-Teller distortion. The phase transitions from the A-type antiferromagnet (as in LaMnO₃), to the spiral phase(as in TbMnO₃), and finally to the E-type antiferromagnet (as in HoMnO₃), with decreasing size of the R ions, were also explained. Moreover, new results of phase diagram of the three-dimensional lattice are also included. The ferromagnetic tendency recently discovered in the LaMnO₃ and TbMnO₃ thin films is explained by considering the substrate stress. Finally, the relationship between our double-exchange model and a previously used J₁-J₂-J₃ model is further discussed from the perspective of spin wave excitations.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 971241

Journal Information:: European Physical Journal. B, Condensed Matter and Complex Systems, Journal Name: European Physical Journal. B, Condensed Matter and Complex Systems Journal Issue: 3 Vol. 71; ISSN 1434-6028

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (70)

Revival of the Magnetoelectric Effect Fiebig, Manfred ChemInform, Vol. 36, Issue 33 https://doi.org/10.1002/chin.200533283	journal	August 2005
Magnetic control of ferroelectric polarization Kimura, T.; Goto, T.; Shintani, H. Nature, Vol. 426, Issue 6962 https://doi.org/10.1038/nature02018	journal	November 2003
Electric polarization reversal and memory in a multiferroic material induced by magnetic fields Hur, N.; Park, S.; Sharma, P. A. Nature, Vol. 429, Issue 6990 https://doi.org/10.1038/nature02572	journal	May 2004
Multiferroic and magnetoelectric materials Eerenstein, W.; Mathur, N. D.; Scott, J. F. Nature, Vol. 442, Issue 7104 https://doi.org/10.1038/nature05023	journal	August 2006
Multiferroics: a magnetic twist for ferroelectricity Cheong, Sang-Wook; Mostovoy, Maxim Nature Materials, Vol. 6, Issue 1 https://doi.org/10.1038/nmat1804	journal	January 2007
Multiferroics progress and prospects in thin films Ramesh, R.; Spaldin, Nicola A. Nature Materials, Vol. 6, Issue 1, p. 21-29 https://doi.org/10.1038/nmat1805	journal	January 2007
Anomalous ferromagnetism in TbMnO3 thin films Kirby, B. J.; Kan, D.; Luykx, A. Journal of Applied Physics, Vol. 105, Issue 7 https://doi.org/10.1063/1.3072076	journal	April 2009
Simulations of a classical spin system with competing superexchange and double-exchange interactions Tsai, Shan-Ho; Landau, D. P. Journal of Applied Physics, Vol. 87, Issue 9 https://doi.org/10.1063/1.372529	journal	May 2000
Multiferroicity: the coupling between magnetic and polarization orders Wang, K. F.; Liu, J. -M.; Ren, Z. F. Advances in Physics, Vol. 58, Issue 4 https://doi.org/10.1080/00018730902920554	journal	July 2009
Orbital ordering phenomena in d- and f-electron systems Hotta, Takashi Reports on Progress in Physics, Vol. 69, Issue 7 https://doi.org/10.1088/0034-4885/69/7/r02	journal	June 2006
The Heisenberg antiferromagnet on an anisotropic triangular lattice: linear spin-wave theory Merino, J.; McKenzie, Ross H.; Marston, J. B. Journal of Physics: Condensed Matter, Vol. 11, Issue 14 https://doi.org/10.1088/0953-8984/11/14/012	journal	January 1999
Distorted perovskite with e g 1 configuration as a frustrated spin system Kimura, T.; Ishihara, S.; Shintani, H. Physical Review B, Vol. 68, Issue 6 https://doi.org/10.1103/physrevb.68.060403	journal	August 2003
Magnetoelectric phase diagrams of orthorhombic R MnO 3 ( R = Gd , Tb, and Dy) Kimura, T.; Lawes, G.; Goto, T. Physical Review B, Vol. 71, Issue 22 https://doi.org/10.1103/physrevb.71.224425	journal	June 2005
Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites Sergienko, I. A.; Dagotto, E. Physical Review B, Vol. 73, Issue 9 https://doi.org/10.1103/physrevb.73.094434	journal	March 2006
Ferroelectricity in perovskite Ho Mn O 3 and Y Mn O 3 Lorenz, Bernd; Wang, Ya-Qi; Chu, Ching-Wu Physical Review B, Vol. 76, Issue 10 https://doi.org/10.1103/physrevb.76.104405	journal	September 2007
Pressure-induced enhancement of ferroelectricity in multiferroic R Mn 2 O 5 ( R = Tb , Dy , Ho ) dela Cruz, C. R.; Lorenz, B.; Sun, Y. Y. Physical Review B, Vol. 76, Issue 17 https://doi.org/10.1103/physrevb.76.174106	journal	November 2007
Multiferroic response and clamped domain structure in a two-dimensional spiral magnet: Monte Carlo simulation Li, Qichang; Dong, Shuai; Liu, J. -M. Physical Review B, Vol. 77, Issue 5 https://doi.org/10.1103/physrevb.77.054442	journal	February 2008
Intrinsic structural distortion in orthorhombic perovskite oxides Zhou, J. -S.; Goodenough, J. B. Physical Review B, Vol. 77, Issue 13 https://doi.org/10.1103/physrevb.77.132104	journal	April 2008
Orbital mixing and ferromagnetism in LaMn 1 − x Ga x O 3 Zhou, J. -S.; Goodenough, J. B. Physical Review B, Vol. 77, Issue 17 https://doi.org/10.1103/physrevb.77.172409	journal	May 2008
Magnetically induced ferroelectricity in orthorhombic manganites: Microscopic origin and chemical trends Yamauchi, Kunihiko; Freimuth, Frank; Blügel, Stefan Physical Review B, Vol. 78, Issue 1 https://doi.org/10.1103/physrevb.78.014403	journal	July 2008
Origin of multiferroic spiral spin order in the R MnO 3 perovskites Dong, Shuai; Yu, Rong; Yunoki, Seiji Physical Review B, Vol. 78, Issue 15 https://doi.org/10.1103/physrevb.78.155121	journal	October 2008
Magnetism, conductivity, and orbital order in ( LaMnO 3 ) 2 n / ( SrMnO 3 ) n superlattices Dong, Shuai; Yu, Rong; Yunoki, Seiji Physical Review B, Vol. 78, Issue 20 https://doi.org/10.1103/physrevb.78.201102	journal	November 2008
Erratum: Ferromagnetism and increased ionicity in epitaxially grownTbMnO3films [Phys. Rev. B79, 014416 (2009)] Rubi, D.; de Graaf, C.; Daumont, C. J. M. Physical Review B, Vol. 79, Issue 10 https://doi.org/10.1103/physrevb.79.109901	journal	March 2009
Metal-Insulator Transition and Its Relation to Magnetic Structure in ( LaMnO 3 ) 2 n / ( SrMnO 3 ) n Superlattices Bhattacharya, A.; May, S. J.; te Velthuis, S. G. E. Physical Review Letters, Vol. 100, Issue 25 https://doi.org/10.1103/physrevlett.100.257203	journal	June 2008
Spin-Orbit Coupling and Ion Displacements in Multiferroic TbMnO 3 Xiang, H. J.; Wei, Su-Huai; Whangbo, M. -H. Physical Review Letters, Vol. 101, Issue 3 https://doi.org/10.1103/physrevlett.101.037209	journal	July 2008
First Principles Study of Improper Ferroelectricity in TbMnO 3 Malashevich, Andrei; Vanderbilt, David Physical Review Letters, Vol. 101, Issue 3 https://doi.org/10.1103/physrevlett.101.037210	journal	July 2008
Origin of Electromagnon Excitations in Multiferroic R MnO 3 Valdés Aguilar, R.; Mostovoy, M.; Sushkov, A. B. Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/physrevlett.102.047203	journal	January 2009
Unveiling New Magnetic Phases of Undoped and Doped Manganites Hotta, Takashi; Moraghebi, Mohammad; Feiguin, Adrian Physical Review Letters, Vol. 90, Issue 24 https://doi.org/10.1103/physrevlett.90.247203	journal	June 2003
Ferroelectricity and Giant Magnetocapacitance in Perovskite Rare-Earth Manganites Goto, T.; Kimura, T.; Lawes, G. Physical Review Letters, Vol. 92, Issue 25 https://doi.org/10.1103/physrevlett.92.257201	journal	June 2004
Structural Anomalies and Multiferroic Behavior in Magnetically Frustrated T b M n 2 O 5 Chapon, L. C.; Blake, G. R.; Gutmann, M. J. Physical Review Letters, Vol. 93, Issue 17 https://doi.org/10.1103/physrevlett.93.177402	journal	October 2004
Helicoidal Ordering in Iron Perovskites Mostovoy, Maxim Physical Review Letters, Vol. 94, Issue 13 https://doi.org/10.1103/physrevlett.94.137205	journal	April 2005
Spin Current and Magnetoelectric Effect in Noncollinear Magnets Katsura, Hosho; Nagaosa, Naoto; Balatsky, Alexander V. Physical Review Letters, Vol. 95, Issue 5 https://doi.org/10.1103/physrevlett.95.057205	journal	July 2005
Magnetic Inversion Symmetry Breaking and Ferroelectricity in TbMnO 3 Kenzelmann, M.; Harris, A. B.; Jonas, S. Physical Review Letters, Vol. 95, Issue 8 https://doi.org/10.1103/physrevlett.95.087206	journal	August 2005
Collinear to Spiral Spin Transformation without Changing the Modulation Wavelength upon Ferroelectric Transition in Tb 1 − x Dy x MnO 3 Arima, T.; Tokunaga, A.; Goto, T. Physical Review Letters, Vol. 96, Issue 9 https://doi.org/10.1103/physrevlett.96.097202	journal	March 2006
Unusual Evolution of the Magnetic Interactions versus Structural Distortions in R MnO 3 Perovskites Zhou, J. -S.; Goodenough, J. B. Physical Review Letters, Vol. 96, Issue 24 https://doi.org/10.1103/physrevlett.96.247202	journal	June 2006
Ferroelectricity in the Magnetic E -Phase of Orthorhombic Perovskites Sergienko, Ivan A.; Şen, Cengiz; Dagotto, Elbio Physical Review Letters, Vol. 97, Issue 22 https://doi.org/10.1103/physrevlett.97.227204	journal	November 2006
Dynamical Magnetoelectric Coupling in Helical Magnets Katsura, Hosho; Balatsky, Alexander V.; Nagaosa, Naoto Physical Review Letters, Vol. 98, Issue 2 https://doi.org/10.1103/physrevlett.98.027203	journal	January 2007
Spiral Magnets as Magnetoelectrics Kimura, T. Annual Review of Materials Research, Vol. 37, Issue 1 https://doi.org/10.1146/annurev.matsci.37.052506.084259	journal	August 2007
Dual nature of improper ferroelectricity in a magnetoelectric multiferroic Picozzi, Silvia; Yamauchi, Kunihiko; Sanyal, Biplab arXiv https://doi.org/10.48550/arxiv.0704.3578	text	January 2007
Ferromagnetism and increased ionicity in epitaxially grown TbMnO3 films Rubi, D.; de Graaf, C.; Daumont, C. J. M. arXiv https://doi.org/10.48550/arxiv.0810.5137	text	January 2008
Colossal Magnetoresistant Materials: The Key Role of Phase Separation Dagotto, Elbio; Hotta, Takashi; Moreo, Adriana arXiv https://doi.org/10.48550/arxiv.cond-mat/0012117	text	January 2000
Colossal magnetoresistant materials: the key role of phase separation Dagotto, Elbio; Hotta, Takashi; Moreo, Adriana Physics Reports, Vol. 344, Issue 1-3 https://doi.org/10.1016/S0370-1573(00)00121-6	journal	April 2001
Revival of the magnetoelectric effect Fiebig, Manfred Journal of Physics D: Applied Physics, Vol. 38, Issue 8 https://doi.org/10.1088/0022-3727/38/8/R01	journal	April 2005
Orbital ordering phenomena in d- and f-electron systems Hotta, Takashi Reports on Progress in Physics, Vol. 69, Issue 7 https://doi.org/10.1088/0034-4885/69/7/R02	journal	June 2006
Distorted perovskite with e g 1 configuration as a frustrated spin system Kimura, T.; Ishihara, S.; Shintani, H. Physical Review B, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevB.68.060403	journal	August 2003
Magnetoelectric phase diagrams of orthorhombic R MnO 3 ( R = Gd , Tb, and Dy) Kimura, T.; Lawes, G.; Goto, T. Physical Review B, Vol. 71, Issue 22 https://doi.org/10.1103/PhysRevB.71.224425	journal	June 2005
Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites Sergienko, I. A.; Dagotto, E. Physical Review B, Vol. 73, Issue 9 https://doi.org/10.1103/PhysRevB.73.094434	journal	March 2006
Ferroelectricity in perovskite Ho Mn O 3 and Y Mn O 3 Lorenz, Bernd; Wang, Ya-Qi; Chu, Ching-Wu Physical Review B, Vol. 76, Issue 10 https://doi.org/10.1103/PhysRevB.76.104405	journal	September 2007
Pressure-induced enhancement of ferroelectricity in multiferroic R Mn 2 O 5 ( R = Tb , Dy , Ho ) dela Cruz, C. R.; Lorenz, B.; Sun, Y. Y. Physical Review B, Vol. 76, Issue 17 https://doi.org/10.1103/PhysRevB.76.174106	journal	November 2007
Multiferroic response and clamped domain structure in a two-dimensional spiral magnet: Monte Carlo simulation Li, Qichang; Dong, Shuai; Liu, J. -M. Physical Review B, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevB.77.054442	journal	February 2008
Intrinsic structural distortion in orthorhombic perovskite oxides Zhou, J. -S.; Goodenough, J. B. Physical Review B, Vol. 77, Issue 13 https://doi.org/10.1103/PhysRevB.77.132104	journal	April 2008
Magnetically induced ferroelectricity in orthorhombic manganites: Microscopic origin and chemical trends Yamauchi, Kunihiko; Freimuth, Frank; Blügel, Stefan Physical Review B, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevB.78.014403	journal	July 2008
Origin of multiferroic spiral spin order in the R MnO 3 perovskites Dong, Shuai; Yu, Rong; Yunoki, Seiji Physical Review B, Vol. 78, Issue 15 https://doi.org/10.1103/PhysRevB.78.155121	journal	October 2008
Magnetism, conductivity, and orbital order in ( LaMnO 3 ) 2 n / ( SrMnO 3 ) n superlattices Dong, Shuai; Yu, Rong; Yunoki, Seiji Physical Review B, Vol. 78, Issue 20 https://doi.org/10.1103/PhysRevB.78.201102	journal	November 2008
Ferromagnetism and increased ionicity in epitaxially grown TbMnO 3 films Rubi, D.; de Graaf, C.; Daumont, C. J. M. Physical Review B, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevB.79.014416	journal	January 2009
Metal-Insulator Transition and Its Relation to Magnetic Structure in ( LaMnO 3 ) 2 n / ( SrMnO 3 ) n Superlattices Bhattacharya, A.; May, S. J.; te Velthuis, S. G. E. Physical Review Letters, Vol. 100, Issue 25 https://doi.org/10.1103/PhysRevLett.100.257203	journal	June 2008
Spin-Orbit Coupling and Ion Displacements in Multiferroic TbMnO 3 Xiang, H. J.; Wei, Su-Huai; Whangbo, M. -H. Physical Review Letters, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevLett.101.037209	journal	July 2008
First Principles Study of Improper Ferroelectricity in TbMnO 3 Malashevich, Andrei; Vanderbilt, David Physical Review Letters, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevLett.101.037210	journal	July 2008
Origin of Electromagnon Excitations in Multiferroic R MnO 3 Valdés Aguilar, R.; Mostovoy, M.; Sushkov, A. B. Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevLett.102.047203	journal	January 2009
Unveiling New Magnetic Phases of Undoped and Doped Manganites Hotta, Takashi; Moraghebi, Mohammad; Feiguin, Adrian Physical Review Letters, Vol. 90, Issue 24 https://doi.org/10.1103/PhysRevLett.90.247203	journal	June 2003
Ferroelectricity and Giant Magnetocapacitance in Perovskite Rare-Earth Manganites Goto, T.; Kimura, T.; Lawes, G. Physical Review Letters, Vol. 92, Issue 25 https://doi.org/10.1103/PhysRevLett.92.257201	journal	June 2004
Structural Anomalies and Multiferroic Behavior in Magnetically Frustrated T b M n 2 O 5 Chapon, L. C.; Blake, G. R.; Gutmann, M. J. Physical Review Letters, Vol. 93, Issue 17 https://doi.org/10.1103/PhysRevLett.93.177402	journal	October 2004
Helicoidal Ordering in Iron Perovskites Mostovoy, Maxim Physical Review Letters, Vol. 94, Issue 13 https://doi.org/10.1103/PhysRevLett.94.137205	journal	April 2005
Spin Current and Magnetoelectric Effect in Noncollinear Magnets Katsura, Hosho; Nagaosa, Naoto; Balatsky, Alexander V. Physical Review Letters, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevLett.95.057205	journal	July 2005
Magnetic Inversion Symmetry Breaking and Ferroelectricity in TbMnO 3 Kenzelmann, M.; Harris, A. B.; Jonas, S. Physical Review Letters, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevLett.95.087206	journal	August 2005
Collinear to Spiral Spin Transformation without Changing the Modulation Wavelength upon Ferroelectric Transition in Tb 1 − x Dy x MnO 3 Arima, T.; Tokunaga, A.; Goto, T. Physical Review Letters, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevLett.96.097202	journal	March 2006
Unusual Evolution of the Magnetic Interactions versus Structural Distortions in R MnO 3 Perovskites Zhou, J. -S.; Goodenough, J. B. Physical Review Letters, Vol. 96, Issue 24 https://doi.org/10.1103/PhysRevLett.96.247202	journal	June 2006
Ferroelectricity in the Magnetic E -Phase of Orthorhombic Perovskites Sergienko, Ivan A.; Şen, Cengiz; Dagotto, Elbio Physical Review Letters, Vol. 97, Issue 22 https://doi.org/10.1103/PhysRevLett.97.227204	journal	November 2006
Dynamical Magnetoelectric Coupling in Helical Magnets Katsura, Hosho; Balatsky, Alexander V.; Nagaosa, Naoto Physical Review Letters, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevLett.98.027203	journal	January 2007
Dual Nature of Improper Ferroelectricity in a Magnetoelectric Multiferroic Picozzi, S.; Yamauchi, K.; Sanyal, B. Physical Review Letters, Vol. 99, Issue 22 https://doi.org/10.1103/PhysRevLett.99.227201	journal	November 2007

Cited By (4)

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Recent Progress of Multiferroic Perovskite Manganites Dong, Shuai; Liu, Jun-Ming Modern Physics Letters B, Vol. 26, Issue 09 https://doi.org/10.1142/s0217984912300049	journal	April 2012
Recent Progress of Multiferroic Perovskite Manganites Dong, Shuai; Liu, Jun-Ming arXiv https://doi.org/10.48550/arxiv.1204.0577	text	January 2012
Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology Dong, Shuai; Liu, Jun-Ming; Cheong, Sang-Wook arXiv https://doi.org/10.48550/arxiv.1512.05372	text	January 2015

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