Novel magnetic arrangement and structural phase transition induced by spin–lattice coupling in multiferroics

Satadeep Bhattacharjee1, Dovran Rahmedov1, Laurent Bellaiche1, Dawei Wang2
1Department of Physics and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, USA
2Electronic Materials Research Laboratory, Key Laboratory of the Ministry of Education and International Center for Dielectric Research, Xi’an Jiaotong University, Xi’an, China

Tóm tắt

Using an effective Hamiltonian of mutiferroic BiFeO3 (BFO) as a toy model, we explore the effect of the coefficient, C, characterizing the strength of the spin–current interaction, on physical properties. We observe that for larger C values and below a critical temperature, the magnetic moments organize themselves in a novel cycloid, which propagates along a low-symmetry direction and is associated with a structural phase transition from polar rhombohedral to a polar triclinic state. We emphasize that both of these magnetic and structural transitions are results of a remarkable self-organization of different solutions of the spin–current model.

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Tài liệu tham khảo

N.A. Spaldin and M. Fiebig: The renaissance of magnetoelectric multiferroics, Science 309, 391 (2005).

R. Ramesh and N.A. Spaldin: Multiferroics: progress and prospects in thin films, Nature Materials 6, 21 (2007).

J.C. Wojdel and J. Iñiguez: Magnetoelectric response of multiferroic BiFeO3 and related materials from first-principles calculations, Phys. Rev. Lett. 103, 267205 (2009).

J.C. Wojdel and J. Iñiguez: Ab initio indications for giant magnetoelectric effects driven by structural softness, Phys. Rev. Lett. 105, 037208 (2010).

C. Ederer and C.J. Fennie: Electric-field switchable magnetization via the DzyaloshinskiiMoriya interaction: FeTiO3 versus BiFeO3, J. Phys. Condens. Matter 20, 434219 (2008).

N.A. Benedek and C.J. Fennie: Hybrid improper ferroelectricity: a mechanism for controllable polarization-magnetization coupling, Phys. Rev. Lett. 106, 107204 (2011).

H. Katsura, N. Nagaosa, and A. Balatsky: Spin current and magnetoelectric effect in noncollinear magnets, Phys. Rev. Lett. 95, 057205 (2005).

A. Raeliarijaona, S. Singh, H. Fu, and L. Bellaiche: Predicted coupling of the electromagnetic angular momentum density with magnetic moments, Phys. Rev. Lett. 110, 137205 (2013).

I. Dzyaloshinsky: A thermodynamic theory of weak ferromagnetism of antiferromagnetics, J. Phys. Chem. Solids 4, 241 (1958).

T. Moriya: New mechanism of anisotropic superexchange interaction, Phys. Rev. Lett. 4, 228 (1960).

T. Kimura, T Goto, H Shintani, K Ishizaka, T Arima, and Y Tokura: Magnetic control of ferroelectric polarization, Nature 426, 55 (2003).

Y. Yamasaki, H. Sagayama, N. Abe, T. Arima, K. Sasai, M. Matsuura, K. Hirota, D. Okuyama, Y. Noda, and Y. Tokura: Cycloidal spin order in the a-axis polarized ferroelectric phase of orthorhombic perovskite manganite, Phys. Rev. Lett. 101, 097204 (2008).

D. Lebeugle, D. Colson, A. Forget, M. Viret, A.M. Bataille, and A. Gukasov: Electric-field-induced spin flop in BiFeO3 single crystals at room temperature, Phys. Rev. Lett. 100, 227602, (2008).

D. Rahmedov, D. Wang, J. Iniguez, and L. Bellaiche: Magnetic cycloid of BiFeO3 from atomistic simulations, Phys. Rev. Lett. 109, 037207 (2012).

I. Sosnowska, M. Loewenhaupt, W.I.F. David, and R.M. Ibberson: Investigation of the unusual magnetic spiral arrangement in BiFeO3, Physica B 180, 117 (1992).

I. Sosnowska, T. Peterlin-Neumaier, and E. Steichele: Spiral magnetic ordering in bismuth ferrite, J. Phys. C Solid State Phys. 15, 4835 (1982).

A.V. Zalesskii, A.A. Frolov, A.K. Zvezdin, A.A. Gippius, E.N. Morozova, D.F. Khozeevc, A.S. Bush, and V.S. Pokatilov: Effect of spatial spin modulation on the relaxation and NMR frequencies of 57Fe nuclei in a ferroelectric antiferromagnet BiFeO3, J. Exp. Theor. Phys. 95, 101 (2002).

A.V. Zalesskii, A.K. Zvezdin, A.A. Frolov, and A.A. Bush: 57Fe NMR study of a spatially modulated magnetic structure in BiFeO3, J. Exp. Theor. Phys. Lett. 71, 465 (2000).

A.A. Bush, A.A. Gippius, A.V. Zalesskii, and E.N. Morozova: 209 Bi NMR spectrum of BiFeO3 in the presence of spatial modulation of hyperfine fields, J. Exp. Theor. Phys. Lett. 78, 389 (2003).

M. Ramazanoglu, W. Ratcliff II, Y.J. Choi, Seongsu Lee, S.-W. Cheong, and V. Kiryukhin: Temperature-dependent properties of the magnetic order in single-crystal BiFeO3, Phys. Rev. B 83, 174434 (2011).

I. Sosnowska and R. Przenioslo: Low-temperature evolution of the modulated magnetic structure in the ferroelectric antiferromagnet BiFeO3, Phys. Rev. B 84, 144404 (2011).

R. Przenioslo, A. Palewicz, M. Regulski, I. Sosnowska, R.M. Ibberson, and K.S. Knight: Does the modulated magnetic structure of BiFeO3 change at low temperatures?, J. Phys. Condens. Matter 18, 2069 (2006).

V.S. Pokatilov and A.S. Sigov: 57Fe NMR study of multiferroic BiFeO3, J. Exp. Theor. Phys. 110, 440 (2010).

I. Sosnowska and A.L. Zvezdin: Journal of magnetism and magnetic materials, J. Magn. Magn. Mater. 140–144, 167 (1995).

R. de Sousa and J.E. Moore: Electrical control of magnon propagation in multiferroic BiFeO3 films, Appl. Phys. Lett. 92, 022514 (2008).

J. Jeong, E.A. Goremychkin, T. Guidi, K. Nakajima, Gun Sang Jeon, Shin-Ae Kim, S. Furukawa, Yong Baek Kim, Seongsu Lee, V. Kiryukhin, S-W. Cheong, and Je-Geun Park: Spin wave measurements over the full brillouin zone of multiferroic BiFeO3, Phys. Rev. Lett. 108, 077202 (2012).

G. Catalan and J.F. Scott, Physics and Applications of Bismuth Ferrite, Adv. Mater. 21, 2463 (2009).

W. Zhong, D. Vanderbilt, and K.M. Rabe: First-principles theory of ferroelectric phase transitions for perovskites: the case of BaTiO3, Phys. Rev. B 52, 6301 (1995).

D. Albrecht, S. Lisenkov, Wei Ren, D. Rahmedov, Igor A. Kornev, and L. Bellaiche: Ferromagnetism in multiferroic BiFeO3 films: a first-principles- based study, Phys. Rev. B 81, 140401 (2010).

C. Ederer and N. Spaldin: Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite, Phys. Rev. B 71, 060401 (2005).

L. Bellaiche, Z. Gui, and I.A. Kornev: A simple law governing coupled magnetic orders in perovskites, J. Phys. Condens. Matter 24, 312201 (2012).

D. Wang, J. Weerasinghe, and L. Bellaiche: Atomistic molecular dynamic simulations of multiferroics, Phys. Rev. Lett. 109, 067203 (2012).

M. Ramazanoglu, M. Laver, W. Ratcliff II, S.M. Watson, W.C. Chen, A. Jackson, K. Kothapalli, Seongsu Lee, S.-W. Cheong, and V. Kiryukhin: Local weak ferromagnetism in single-crystalline ferroelectric BiFeO3, Phys. Rev. Lett. 107, 207206 (2011).

A.M. George, J. Iñiguez, and L. Bellaiche: Optical phonons associated with the low-temperature ferroelectric properties of perovskite solid solutions, Phys. Rev. B 65, 180301 (2002).

H. Schmid: Some symmetry aspects of ferroics and single phase multiferroics, J. Phys. Condens. Matter 20, 434201 (2008).

B. Noheda, D.E. Cox, G. Shirane, J.A. Gonzalo, L.E. Cross, and S-E. Park: A monoclinic ferroelectric phase in the Pb(Zr1−xTix)O3 solid solution, Appl. Phys. Lett. 74, 2059 (1999).

J.-M. Kiat, Y. Uesu, B. Dkhil, M. Matsuda, C. Malibert, and G. Calvarin: Monoclinic structure of unpoled morphotropic high piezoelectric PMNPT and PZN-PT compounds, Phys. Rev. B 65, 064106 (2002).

L. Bellaiche, A. Garcia, and D. Vanderbilt: Finite-temperature properties of Pb(Zr1−xTix)O3 alloys from first principles, Phys. Rev. Lett. 84, 5427 (2000).

L. Bellaiche, A. Garcia, and D. Vanderbilt: Low-temperature properties of Pb(Zr1−xTix)O3 solid solutions, Ferroelectrics 266, 41 (2002).

A.M. George, J. Iñiguez, and L. Bellaiche: Anomalous properties in ferroelectrics induced by atomic ordering, Nature 413, 54 (2001).

J. Iñiguez and L. Bellaiche: Ab initio design of perovskite alloys with predetermined properties: the case of Pb(Sc0.5Nb0.5)O3, Phys. Rev. Lett. 87, 095503 (2001).

S. Prosandeev, D. Wang, W. Ren, J. Iñiguez, and L. Bellaiche: Novel nanoscale twinned phases in perovskite oxides, Adv. Funct. Mater. 23, 234 (2013).

D. Sando, A. Agbelele, D. Rahmedov, J. Liu, P. Rovillain, C. Toulouse, I. C. Infante, A.P. Pyatakov, S. Fusil, E. Jacquet, C. Carretero, C. Deranlot, S. Lisenkov, D. Wang, J-M. Le Breton, M. Cazayous, A. Sacuto, J. Juraszek, A.K. Zvezdin, L. Bellaiche, B. Dkhil, A. Barthlmy, and M. Bibes: Nature Materials, Nat. Mater. DOI:10.1038/NMAT3629.