Spin-current driven Dzyaloshinskii-Moriya interaction in multiferroic ${\mathrm{BiFeO}}_{3}$ from first principles

Meyer, Sebastian; Xu, Bin; Verstraete, Matthieu; Bellaiche, Laurent; Dupé, Bertrand

doi:10.1103/PhysRevB.108.024403

Download

Article (Scientific journals)

Spin-current driven Dzyaloshinskii-Moriya interaction in multiferroic ${\mathrm{BiFeO}}_{3}$ from first principles

Meyer, Sebastian; Xu, Bin; Verstraete, Matthieu et al.

2023 • In Physical Review. B, 108, p. 024403

Peer Reviewed verified by ORBi

Permalink
https://hdl.handle.net/2268/305218

DOI
10.1103/PhysRevB.108.024403

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

PhysRevB.108.024403.pdf

Publisher postprint (973.34 kB)

Download

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Disciplines :

Physics

Author, co-author :

Meyer, Sebastian ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)

Xu, Bin

Verstraete, Matthieu ; Université de Liège - ULiège > Département de physique > Physique des matériaux et nanostructures

Bellaiche, Laurent

Dupé, Bertrand ; Université de Liège - ULiège > Département de physique > Physique des matériaux et nanostructures

Language :

English

Title :

Spin-current driven Dzyaloshinskii-Moriya interaction in multiferroic ${\mathrm{BiFeO}}_{3}$ from first principles

Alternative titles :

[en] Spin-current driven Dzyaloshinskii-Moriya interaction in multiferroic BiFeO3 from first principles

Publication date :

July 2023

Journal title :

Physical Review. B

ISSN :

2469-9950

eISSN :

2469-9969

Publisher :

American Physical Society

Volume :

108

Pages :

024403

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Development Goals :

9. Industry, innovation and infrastructure

European Projects :

H2020 - 964931 - TSAR - Topological Solitons in Antiferroics

Funders :

EU - European Union

Available on ORBi :

since 15 July 2023

Statistics

Number of views

329 (11 by ULiège)

Number of downloads

277 (2 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenAlex citations

Bibliography

Y. E. Roginskaya, Y. Y. Tomashpol'skiǐ, Y. N. Venevtsev, V. M. Petrov, and G. S. Zhdanov, Sov. Phys. JETP 23, 47 (1966).
J. B. Neaton, C. Ederer, U. V. Waghmare, N. A. Spaldin, and K. M. Rabe, Phys. Rev. B 71, 014113 (2005) 1098-0121 10.1103/PhysRevB.71.014113.
I. A. Kornev, S. Lisenkov, R. Haumont, B. Dkhil, and L. Bellaiche, Phys. Rev. Lett. 99, 227602 (2007) 0031-9007 10.1103/PhysRevLett.99.227602.
R. Haumont, I. A. Kornev, S. Lisenkov, L. Bellaiche, J. Kreisel, and B. Dkhil, Phys. Rev. B 78, 134108 (2008) 1098-0121 10.1103/PhysRevB.78.134108.
P. Ravindran, R. Vidya, A. Kjekshus, H. Fjellvåg, and O. Eriksson, Phys. Rev. B 74, 224412 (2006) 1098-0121 10.1103/PhysRevB.74.224412.
I. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958) 0022-3697 10.1016/0022-3697(58)90076-3.
T. Moriya, Phys. Rev. 120, 91 (1960) 0031-899X 10.1103/PhysRev.120.91.
I. Sosnowska, T. P. Neumaier, and E. Steichele, J. Phys. C: Solid State Phys. 15, 4835 (1982) 0022-3719 10.1088/0022-3719/15/23/020.
I. Sosnowska, R. Przeniosło, P. Fischer, and V. Murashov, J. Magn. Magn. Mater. 160, 384 (1996) 0304-8853 10.1016/0304-8853(96)00240-5.
W. Ratcliff, D. Kan, W. Chen, S. Watson, S. Chi, R. Erwin, G. J. McIntyre, S. C. Capelli, and I. Takeuchi, Adv. Funct. Mater. 21, 1567 (2011) 1616301X 10.1002/adfm.201002125.
D. Sando, A. Agbelele, D. Rahmedov, J. Liu, P. Rovillain, C. Toulouse, I. C. Infante, A. P. Pyatakov, S. Fusil, E. Jacquet, C. Carrétéro, C. Deranlot, S. Lisenkov, D. Wang, J.-M. Le Breton, M. Cazayous, A. Sacuto, J. Juraszek, A. K. Zvezdin, L. Bellaiche, Nat. Mater. 12, 641 (2013) 1476-1122 10.1038/nmat3629.
J. Bertinshaw, R. Maran, S. J. Callori, V. Ramesh, J. Cheung, S. A. Danilkin, W. T. Lee, S. Hu, J. Seidel, N. Valanoor, and C. Ulrich, Nat. Commun. 7, 12664 (2016) 2041-1723 10.1038/ncomms12664.
S. R. Burns, D. Sando, B. Xu, B. Dupé, L. Russell, G. Deng, R. Clements, O. H. Paull, J. Seidel, L. Bellaiche, N. Valanoor, and C. Ulrich, npj Quantum Mater. 4, 18 (2019) 2397-4648 10.1038/s41535-019-0155-2.
A. Haykal, J. Fischer, W. Akhtar, J.-Y. Chauleau, D. Sando, A. Finco, F. Godel, Y. A. Birkhölzer, C. Carrétéro, N. Jaouen, M. Bibes, M. Viret, S. Fusil, V. Jacques, and V. Garcia, Nat. Commun. 11, 1704 (2020) 2041-1723 10.1038/s41467-020-15501-8.
L. W. Martin, S. P. Crane, Y.-H. Chu, M. B. Holcomb, M. Gajek, M. Huijben, C.-H. Yang, N. Balke, and R. Ramesh, J. Phys.: Condens. Matter 20, 434220 (2008) 10.1088/0953-8984/20/43/434220.
C. Thiele, K. Dörr, O. Bilani, J. Rödel, and L. Schultz, Phys. Rev. B 75, 054408 (2007) 1098-0121 10.1103/PhysRevB.75.054408.
J. M. Rondinelli, M. Stengel, and N. A. Spaldin, Nat. Nanotechnol. 3, 46 (2008) 1748-3387 10.1038/nnano.2007.412.
P. Rovillain, R. de Sousa, Y. Gallais, A. Sacuto, M. A. Méasson, D. Colson, A. Forget, M. Bibes, A. Barthélémy, and M. Cazayous, Nat. Mater. 9, 975 (2010) 1476-1122 10.1038/nmat2899.
S. Manipatruni, D. E. Nikonov, C.-C. Lin, T. A. Gosavi, H. Liu, B. Prasad, Y.-L. Huang, E. Bonturim, R. Ramesh, and I. A. Young, Nature (London) 565, 35 (2019) 0028-0836 10.1038/s41586-018-0770-2.
E. Parsonnet, L. Caretta, V. Nagarajan, H. Zhang, H. Taghinejad, P. Behera, X. Huang, P. Kavle, A. Fernandez, D. Nikonov, H. Li, I. Young, J. Analytis, and R. Ramesh, Phys. Rev. Lett. 129, 087601 (2022) 0031-9007 10.1103/PhysRevLett.129.087601.
I. Sosnowska and A. K. Zvezdin, J. Magn. Magn. Mater. 140, 167 (1995) 0304-8853 10.1016/0304-8853(94)01120-6.
H. Katsura, N. Nagaosa, and A. V. Balatsky, Phys. Rev. Lett. 95, 057205 (2005) 0031-9007 10.1103/PhysRevLett.95.057205.
D. Rahmedov, D. Wang, J. Íñiguez, and L. Bellaiche, Phys. Rev. Lett. 109, 037207 (2012) 0031-9007 10.1103/PhysRevLett.109.037207.
C. Ederer and N. A. Spaldin, Phys. Rev. B 71, 060401 (R) (2005) 1098-0121 10.1103/PhysRevB.71.060401.
B. Xu, B. Dupé, C. Xu, H. Xiang, and L. Bellaiche, Phys. Rev. B 98, 184420 (2018) 2469-9950 10.1103/PhysRevB.98.184420.
C. Weingart, N. Spaldin, and E. Bousquet, Phys. Rev. B 86, 094413 (2012) 1098-0121 10.1103/PhysRevB.86.094413.
H. Dixit, J. H. Lee, J. T. Krogel, S. Okamoto, and V. R. Cooper, Sci. Rep. 5, 12969 (2015) 2045-2322 10.1038/srep12969.
M. Matsuda, R. S. Fishman, T. Hong, C. H. Lee, T. Ushiyama, Y. Yanagisawa, Y. Tomioka, and T. Ito, Phys. Rev. Lett. 109, 067205 (2012) 0031-9007 10.1103/PhysRevLett.109.067205.
R. S. Fishman, J. T. Haraldsen, N. Furukawa, and S. Miyahara, Phys. Rev. B 87, 134416 (2013) 1098-0121 10.1103/PhysRevB.87.134416.
U. Nagel, R. S. Fishman, T. Katuwal, H. Engelkamp, D. Talbayev, H. T. Yi, S.-W. Cheong, and T. Room, Phys. Rev. Lett. 110, 257201 (2013) 0031-9007 10.1103/PhysRevLett.110.257201.
R. Fishman, Phys. B (Amsterdam) 536, 115 (2018) 0921-4526 10.1016/j.physb.2017.09.103.
A. Fert and P. M. Levy, Phys. Rev. Lett. 44, 1538 (1980) 0031-9007 10.1103/PhysRevLett.44.1538.
B. Xu, S. Meyer, M. J. Verstraete, L. Bellaiche, and B. Dupé, Phys. Rev. B 103, 214423 (2021) 2469-9950 10.1103/PhysRevB.103.214423.
X. Gonze, B. Amadon, P. M. Anglade, J. M. Beuken, F. Bottin, P. Boulanger, F. Bruneval, D. Caliste, R. Caracas, M. Côté, T. Deutsch, L. Genovese, Ph. Ghosez, M. Giantomassi, S. Goedecker, D. R. Hamann, P. Hermet, F. Jollet, G. Jomard, S. Leroux, Comput. Phys. Commun. 180, 2582 (2009) 0010-4655 10.1016/j.cpc.2009.07.007.
X. Gonze, F. Jollet, F. A. Araujo, D. Adams, B. Amadon, T. Applencourt, C. Audouze, J.-M. Beuken, J. Bieder, A. Bokhanchuk, E. Bousquet, F. Bruneval, D. Caliste, M. Côté, F. Dahm, F. Da Pieve, M. Delaveau, M. Di Gennaro, B. Dorado, C. Espejo, Comput. Phys. Commun. 205, 106 (2016) 0010-4655 10.1016/j.cpc.2016.04.003.
X. Gonze, B. Amadon, G. Antonius, F. Arnardi, L. Baguet, J.-M. Beuken, J. Bieder, F. Bottin, J. Bouchet, E. Bousquet, N. Brouwer, F. Bruneval, G. Brunin, T. Cavignac, J.-B. Charraud, W. Chen, M. Côté, S. Cottenier, J. Denier, G. Geneste, Comput. Phys. Commun. 248, 107042 (2020) 0010-4655 10.1016/j.cpc.2019.107042.
P. E. Blöchl, Phys. Rev. B 50, 17953 (1994) 0163-1829 10.1103/PhysRevB.50.17953.
H. Krakauer, M. Posternak, and A. J. Freeman, Phys. Rev. B 19, 1706 (1979) 0163-1829 10.1103/PhysRevB.19.1706.
E. Wimmer, H. Krakauer, M. Weinert, and A. J. Freeman, Phys. Rev. B 24, 864 (1981) 0163-1829 10.1103/PhysRevB.24.864.
M. Weinert, E. Wimmer, and A. J. Freeman, Phys. Rev. B 26, 4571 (1982) 0163-1829 10.1103/PhysRevB.26.4571.
https://www.flapw.de/MaX-6.0/.
S. H. Vosko, L. Wilk, and M. Nusair, Can. J. Phys. 58, 1200 (1980) 0008-4204 10.1139/p80-159.
L. M. Sandratskii, J. Phys.: Condens. Matter 3, 8565 (1991) 0953-8984 10.1088/0953-8984/3/44/004.
A. Mackintosh and O. Andersen, in Electrons at the Fermi Surface, edited by M. Springford (Cambridge University Press, London, 1980), pp. 149-224.
A. Oswald, R. Zeller, P. J. Braspenning, and P. H. Dederichs, J. Phys. F: Met. Phys. 15, 193 (1985) 0305-4608 10.1088/0305-4608/15/1/021.
M. Heide, G. Bihlmayer, and S. Blügel, Phys. B (Amsterdam) 404, 2678 (2009) 0921-4526 10.1016/j.physb.2009.06.070.
C. Xu, B. Xu, B. Dupé, and L. Bellaiche, Phys. Rev. B 99, 104420 (2019) 2469-9950 10.1103/PhysRevB.99.104420.
S. Bhattacharjee, D. Rahmedov, L. Bellaiche, and D. Wang, MRS Commun. 3, 213 (2013) 2159-6859 10.1557/mrc.2013.45.
P. M. Levy and A. Fert, C. R. Phys. 17, 447 (2016) 1631-0705 10.1016/j.crhy.2015.12.011.
Note that in the data without SOC, we see a tiny energy difference between the perfectly collinear state ((Equation presented) points) and the next states. This energy difference stems from the rotation of magnetization as it is implemented in the FLAPW method.
B. Dupé, G. Bihlmayer, M. Böttcher, S. Blügel, and S. Heinze, Nat. Commun. 7, 11779 (2016) 2041-1723 10.1038/ncomms11779.
Note that SOC calculations with first-order perturbation have shown consistent results with self-consistent ones, as shown in Refs. [60,61].
L. Desplat, S. Meyer, J. Bouaziz, P. M. Buhl, S. Lounis, B. Dupé, and P.-A. Hervieux, Phys. Rev. B 104, L060409 (2021) 2469-9950 10.1103/PhysRevB.104.L060409.
H. Yang, G. Chen, A. A. C. Cotta, A. T. N'Diaye, S. A. Nikolaev, E. A. Soares, W. A. A. Macedo, K. Liu, A. K. Schmid, A. Fert, and M. Chshiev, Nat. Mater. 17, 605 (2018) 1476-1122 10.1038/s41563-018-0079-4.
A. Bocdanov and A. Hubert, Phys. Status Solidi B 186, 527 (1994) 0370-1972 10.1002/pssb.2221860223.
U. K. Rößler, A. N. Bogdanov, and C. Pfleiderer, Nature (London) 442, 797 (2006) 0028-0836 10.1038/nature05056.
S. Rohart and A. Thiaville, Phys. Rev. B 88, 184422 (2013) 1098-0121 10.1103/PhysRevB.88.184422.
A. Finco, A. Haykal, S. Fusil, P. Kumar, P. Dufour, A. Forget, D. Colson, J.-Y. Chauleau, M. Viret, N. Jaouen, V. Garcia, and V. Jacques, Phys. Rev. Lett. 128, 187201 (2022) 0031-9007 10.1103/PhysRevLett.128.187201.
R. S. Fishman, N. Furukawa, J. T. Haraldsen, M. Matsuda, and S. Miyahara, Phys. Rev. B 86, 220402 (R) (2012) 1098-0121 10.1103/PhysRevB.86.220402.
S. Meyer, B. Dupé, P. Ferriani, and S. Heinze, Phys. Rev. B 96, 094408 (2017) 2469-9950 10.1103/PhysRevB.96.094408.
B. Zimmermann, G. Bihlmayer, M. Böttcher, M. Bouhassoune, S. Lounis, J. Sinova, S. Heinze, S. Blügel, and B. Dupé, Phys. Rev. B 99, 214426 (2019) 2469-9950 10.1103/PhysRevB.99.214426.