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Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
Open accessAbstract
We study the magnetic interactions in Mott-Hubbard systems with partially filled t_{2g} levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy Hamiltonians that extrapolate from the Heisenberg to a quantum compass model depending on the lattice geometry. This gives way to "engineer" in such Mott insulators an exactly solvable spin model by Kitaev relevant for quantum computation. We, finally, explain "weak" ferromagnetism, with an anomalously large ferromagnetic moment, in Sr2IrO4.
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Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Trotzky, S., Cheinet, P., Fölling, S., Feld, M., Schnorrberger, U., Rey, A. M., Polkovnikov, A., Demler, E. A., Lukin, M. D., & Bloch, I. (2008) · Science · doi:10.1126/science.1150841 · Cited by 698
Cited by
Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., & Büchler, H. P. (2010) · Nature Physics · doi:10.1038/nphys1614 · Cited by 867
Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
Banerjee, A., Bridges, C. A., Yan, J.-Q., Aczel, A. A., Li, L., Stone, M. B., Granroth, G. E., Lumsden, M. D., Yiu, Y., Knolle, J., et al. (2016) · Nature Materials · doi:10.1038/nmat4604 · Cited by 835
Wien2wannier: From linearized augmented plane waves to maximally localized Wannier functions
Kuneš, J., Arita, R., Wissgott, P., Toschi, A., Ikeda, H., & Held, K. (2010) · Computer Physics Communications · doi:10.1016/j.cpc.2010.08.005 · Cited by 462
Long-range magnetic ordering in Na2IrO3
Liu, X., Berlijn, T., Yin, W.-G., Ku, W., Tsvelik, A., Kim, Y.-J., Gretarsson, H., Singh, Y., Gegenwart, P., & Hill, J. P. (2011) · Physical Review B · doi:10.1103/physrevb.83.220403 · Cited by 353
Excitations in the field-induced quantum spin liquid state of α-RuCl3
Banerjee, A., Lampen-Kelley, P., Knolle, J., Balz, C., Aczel, A. A., Winn, B., Liu, Y., Pajerowski, D. M., Yan, J.-Q., Bridges, C. A., et al. (2017) · Apollo (University of Cambridge) · doi:10.17863/cam.11029 · Cited by 303
Metadata
- Authors
- Jackeli, G., & Khaliullin, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-01-06
- Volume
- 102
- Issue
- 1
- Pages
- 017205-017205
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2054661952
- Cited by
- 2,285
- References
- 2
- FWCI
- 31.44
- Type
- journal article
- Language
- en
- Open access
- green
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