Abstract
We consider the quasi-two-dimensional pseudo-spin-1/2 Kitaev–Heisenberg model proposed for A2IrO3 (A = Li, Na) compounds. The spin-wave excitation spectrum, the sublattice magnetization, and the transition temperatures are calculated in the random phase approximation for four different ordered phases observed in the parameter space of the model: antiferromagnetic, stripe, ferromagnetic, and zigzag phases. The Néel temperature and temperature dependence of the sublattice magnetization are compared with the experimental data on Na2IrO3.
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References
G. Khaliullin, Progr. Theor. Phys. Suppl. 160, 155 (2005).
Z. Nussinov and J. van den Brink, Rev. Mod. Phys. 87, 1 (2015); arXiv:1303.5922.
B. J. Kim, Hosub Jin, S. J. Moon, et al., Phys. Rev. Lett. 101, 076402 (2008).
G. Jackeli and G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009).
A. Kitaev, Ann. Phys. (Amsterdam) 321, 2 (2006).
J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner, Phys. Rev. Lett. 112, 207203 (2014).
J. Knolle, G.-W. Chern, D. L. Kovrizhin, et al., Phys. Rev. Lett. 113, 187201 (2014).
J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner, Phys. Rev. B 92, 115127 (2015).
J. Chaloupka, G. Jackeli, and G. Khaliullin, Phys. Rev. Lett. 105, 027204 (2010).
J. Chaloupka, G. Jackeli, and G. Khaliullin, Phys. Rev. Lett. 110, 097204 (2013).
C. H. Kim, H. S. Kim, H. Jeong, et al., Phys. Rev. Lett. 108, 106401 (2012).
H.-S. Kim, C. H. Kim, H. Jeong, et al., Phys. Rev. B 87, 165117 (2013).
K. Foyevtsova, H. O. Jeschke, I. I. Mazin, et al., Phys. Rev. B 88, 035107 (2013).
Y. Yamaji, Y. Nomura, M. Kurita, et al., Phys. Rev. Lett. 113, 107201 (2014).
V. M. Katukuri, S. Nishimoto, V. Yushankhai, et al., New J. Phys. 16, 013056 (2014).
S. Nishimoto, V. M. Katukuri, V. Yushankhai, et al., Nature Comm. 7, 10273 (2016).
Y. Sizyuk, C. Price, P. Wölfle, and N. B. Perkins, Phys. Rev. B 90, 125126 (2014).
I. Kimchi and Yi-Zhuang You, Phys. Rev. B 84, 180407(R) (2011).
Y. Singh, S. Manni, J. Reuther, et al., Phys. Rev. Lett. 108, 127203 (2012).
J. G. Rau, E. K.-H. Lee, and H.-Y. Kee, Phys. Rev. Lett. 112, 077204 (2014).
J. Lou, L. Liang, Yue Yu, and Yan Chen, arXiv:1501.06990.
J. Reuther, R. Thomale, and S. Trebst, Phys. Rev. B 84, 100406(R) (2011).
C. Price and N. B. Perkins, Phys. Rev. Lett. 109, 187201 (2012).
C. Price and N. B. Perkins, Phys. Rev. B 88, 024410 (2013).
J. O. Iregui, P. Corboz, and M. Troyer, Phys. Rev. B 90, 195102 (2014).
Y.-Z. You, I. Kimchi, and A. Vishwanath, Phys. Rev. B 86, 085145 (2012).
T. Hyart, A. R. Wright, G. Khaliullin, and B. Rosenow, Phys. Rev. B 85, 140510(R) (2012).
S. Okamoto, Phys. Rev. B 87, 064508 (2013).
Y. Singh and P. Gegenwart, Phys. Rev. B 82, 064412 (2010).
X. Liu, T. Berlijn, W.-G. Yin, et al., Phys. Rev. B 83, 220403(R) (2011).
F. Ye, S. Chi, H. Cao, B. C. Chakoumakos, et al., Phys. Rev. B 85, 180403 (2012).
S. K. Choi, R. Coldea, A. N. Kolmogorov, et al., Phys. Rev. Lett. 108, 127204 (2012).
H. Gretarsson, J. P. Clancy, Y. Singh, et al., Phys. Rev. B 87, 220407(R) (2013).
R. Comin, G. Levy, B. Ludbrook, et al., Phys. Rev. B 109, 266406 (2012).
D. N. Zubarev, Sov. Phys. Usp. 3, 320 (1960).
S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (Plenum, New York, 1967; Nauka, Moscow, 1975).
A. A. Vladimirov, D. Ihle, and N. M. Plakida, JETP Lett. 100, 780 (2014); arXiv:1411.3920v2.
A. A. Vladimirov, D. Ihle, and N. M. Plakida, Eur. Phys. J. B 88, 148 (2015).
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Vladimirov, A.A., Ihle, D. & Plakida, N.M. Magnetic order and spin excitations in the Kitaev–Heisenberg model on a honeycomb lattice. J. Exp. Theor. Phys. 122, 1060–1069 (2016). https://doi.org/10.1134/S106377611606008X
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DOI: https://doi.org/10.1134/S106377611606008X