Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na 2 IrO 3

Nature Physics

Volumn 11, Issue 6, 2015, Pages 462-466

  Hwan Chun, Sae ^a   Kim, Jong Woo ^b   Kim, Jungho ^b   Zheng, H ^a   Stoumpos, Constantinos C ^a   Malliakas, C D ^a   Mitchell, J F ^a   Mehlawat, Kavita ^c   Singh, Yogesh ^c   Choi, Y ^b   Gog, T ^b   Al Zein, A ^d   Sala, M Moretti ^d   Krisch, M ^d   Chaloupka, J ^e   Jackeli, G ^f,g   Khaliullin, G ^f   Kim, B J ^f  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b ARGONNE NATIONAL LABORATORY   (United States)

^c INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH MOHALI   (India)

^d EUROPEAN SYNCHROTRON RADIATION FACILITY   (France)

^e MASARYK UNIVERSITY   (Czech Republic)

^f MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^g UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; ION EXCHANGE; IRIDIUM COMPOUNDS; LITHIUM COMPOUNDS; MAGNETIC MATERIALS; MAGNETISM; QUANTUM THEORY; X RAY SCATTERING;

CRYSTALLOGRAPHIC DIRECTIONS; DIRECTIONAL INTERACTIONS; HEISENBERG INTERACTION; MAGNETIC EXCHANGE COUPLING; MAGNETIC FRUSTRATIONS; MAGNETIC X-RAY SCATTERING; SHORT-RANGE CORRELATIONS; SPIN-ROTATIONAL SYMMETRY;

HONEYCOMB STRUCTURES;

EID: 84930379338     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys3322     Document Type: Article

References (34)

1. van Vleck, J. H. On the anisotropy of cubic ferromagnetic crystals. Phys. Rev. 52, 1178-1198 (1937).
2. Khaliullin, G. Orbital order and fluctuations in Mott insulators. Prog. Theor. Phys. Suppl. 160, 155-202 (2005).
3. Jackeli, G. & Khaliullin, G. Mott insulators in the strong spin-orbit coupling limit: From Heisenberg to a quantum compass and Kitaev models. Phys. Rev. Lett. 102, 017205 (2009).
4. Kitaev, A. Anyons in an exactly solved model and beyond. Ann. Phys. 321, 2-111 (2006).
5. Kim, B. J. ,et al. Novel Je-D1=2 Mott state induced by relativistic spin-orbit coupling in Sr2IrO4. Phys. Rev. Lett. 101, 076402 (2008).
6. Kim, B. J. ,et al. Phase-sensitive observation of a spin-orbital Mott state in Sr2IrO4. Science 323, 1329-1332 (2009).
7. Takayama, T. ,et al. Hyper-honeycomb iridate-Li2IrO3 as a platform for Kitaev magnetism. Phys. Rev. Lett. 114, 077202 (2015).
8. Modic, K. A. ,et al. Realization of a three-dimensional spin-anisotropic harmonic honeycomb iridate. Nature Commun. 5, 4203 (2014).
9. Kimchi, I. & Vishwanath, A. Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices. Phys. Rev. B 89, 014414 (2014).
10. Hermanns, M. & Trebst, S. Quantum spin liquid with aMajorana Fermi surface on the three-dimensional hyperoctagon lattice. Phys. Rev. B 89, 235102 (2014).
11. Lee, S. B., Jeong, J-S., Hwang, K. & Kim, Y. B. Emergent quantum phases in a frustrated J1-J2 Heisenberg model on the hyperhoneycomb lattice. Phys. Rev. B 90, 134425 (2014).
12. Plumb, K.W. ,et al. RuCl3: A spin-orbit assisted Mott insulator on a honeycomb lattice. Phys. Rev. B 90, 041112 (2014).
13. Luo, Y. ,et al. Li2RhO3: A spin-glassy relativistic Mott insulator. Phys. Rev. B 87, 161121 (2013).
14. Liu, X. ,et al. Long-range magnetic ordering in Na2IrO3. Phys. Rev. B 83, 220403 (2011).
15. Choi, S. K. ,et al. Spin waves and revised crystal structure of honeycomb iridate Na2IrO3. Phys. Rev. Lett. 108, 127204 (2012).
16. Ye, F. ,et al. Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and X-ray diffraction investigation of single-crystal Na2IrO3. Phys. Rev. B 85, 180403 (2012).
17. Reuther, J., Thomale, R. & Rachel, S. Spiral order in the honeycomb iridate Li2IrO3. Phys. Rev. B 90, 100405 (2014).
18. Biffin, A. ,et al. Noncoplanar and counterrotating incommensurate magnetic order stabilized by Kitaev interactions in-Li2IrO3. Phys. Rev. Lett. 113, 197201 (2014).
19. Biffin, A. ,et al. Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in-Li2IrO3: Full solution via magnetic resonant X-ray diffraction. Phys. Rev. B 90, 205116 (2014).
20. Chaloupka, J., Jackeli, G. & Khaliullin, G. Kitaev-Heisenberg model on a honeycomb lattice: Possible exotic phases in iridium oxides A2IrO3. Phys. Rev. Lett. 105, 027204 (2010).
21. Chaloupka, J., Jackeli, G. & Khaliullin, G. Zigzag magnetic order in the iridium oxide Na2IrO3. Phys. Rev. Lett. 110, 097204 (2013).
22. Lee, E. K-H. & Kim, Y. B. Theory of magnetic phase diagrams in hyperhoneycomb and harmonic-honeycomb iridates. Phys. Rev. B 91, 064407 (2015).
23. Rau, J. G., Lee, E. K-H. & Kee, H-Y. Generic spin model for the honeycomb iridates beyond the Kitaev limit. Phys. Rev. Lett. 112, 077204 (2014).
24. Katukuri, V. M. ,et al. Kitaev interactions between jD1=2 moments in honeycomb Na2IrO3 are large and ferromagnetic: Insights from ab initio quantum chemistry calculations. New J. Phys. 16, 013056 (2014).
25. Yamaji, Y., Nomura, Y., Kurita, M., Arita, R. & Imada, M. First-principles study of the honeycomb-lattice iridates Na2IrO3 in the presence of strong spin-orbit interaction and electron correlations. Phys. Rev. Lett. 113, 107201 (2014).
26. Shitade, A. ,et al. Quantum spin Hall effect in a transition metal oxide Na2IrO3. Phys. Rev. Lett. 102, 256403 (2009).
27. Mazin, I. I., Jeschke, H. O., Foyevtsova, K., Valenti, R. & Khomskii, D. I. Na2IrO3 as a molecular orbital crystal. Phys. Rev. Lett. 109, 197201 (2012).
28. Kim, C. H., Kim, H. S., Jeong, H., Jin, H. & Yu, J. Topological quantum phase transition in 5d transition metal oxide Na2IrO3. Phys. Rev. Lett. 108, 106401 (2012).
29. Gretarsson, H. ,et al. Magnetic excitation spectrum of Na2IrO3 probed with resonant inelastic X-ray scattering. Phys. Rev. B 87, 220407 (2013).
30. Price, C. & Perkins, N. B. Finite-temperature phase diagram of the classical Kitaev-Heisenberg model. Phys. Rev. B 88, 024410 (2013).
31. Fujiyama, S. ,et al. Two-dimensional Heisenberg behavior of Je D1=2 isospins in the paramagnetic state of the spin orbital Mott insulator Sr2IrO4. Phys. Rev. Lett. 108, 247212 (2012).
32. Kimchi, I. & You, Y-Z. Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3. Phys. Rev. B 84, 180407 (2011).
33. Singh, Y. & Gegenwart, P. Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na2IrO3. Phys. Rev. B 82, 064412 (2010).
34. Kim, J. ,et al. Large spin-wave energy gap in the bilayer iridate Sr3Ir2O7: Evidence for enhanced dipolar interactions near the Mott metal insulator transition. Phys. Rev. Lett. 109, 157402 (2012).