Kitaev-Heisenberg model on a honeycomb lattice: possible exotic phases in iridium oxides A2IrO3.

By J. Chaloupka, G. Jackeli, G. Khaliullin. Physical Review Letters, 2010

668 citations recorded by the source corpus.

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir4+ ions in a family of layered iridates A2IrO3 (A=Li,Na). Depending on the microscopic parameters, the Hamiltonian interpolates between the Heisenberg and exactly solvable Kitaev models. Exact diagonalization and a complementary spin-wave analysis reveal the presence of an extended spin-liquid phase near the Kitaev limit and a conventional Néel state close to the Heisenberg limit. The two phases are separated by an unusual stripy antiferromagnetic state, which is the exact ground state of the model at the midpoint between two limits.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/09db67f8a87e59debdf03099125526308c10767f

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In Condensed Matter Physics

1. Yi Zhou
2. T. Ng
3. Simon Trebst
4. C. Hickey
5. K. Kanoda
6. A. Nahum
7. J. van den Brink
8. Y. Kato

In Electronic, Optical and Magnetic Materials

1. Yi Zhou
2. T. Ng
3. J. van den Brink
4. Y. Kato
5. Zohar Nussinov
6. Simon Trebst
7. J. Knolle
8. Yukitoshi Motome

Citations in the corpus

• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4 (2017, background): “[143] Jiri Chaloupka, George Jackeli, and Giniyat Khaliullin,”
• Kitaev-Heisenberg Hamiltonian for high-spin d 7 Mott insulators (2017, methodology): “Hamiltonian includes both the Kitaev-type bond-dependent anisotropic interaction and the isotropic Heisenberg interaction, called the Kitaev-Heisenberg model [10].”
• Compass models: Theory and physical motivations (2015, methodology): “…considered on a honeycomb lattice, where it describes exchange interactions between the magnetic moments Ir4+ ions in a family of layered iridates A2IrO3 (A= Li, Na) – materials in which the relativistic spin-orbit coupling plays an important role (Chaloupka et al., 2010; Trousselet et al., 2011).”
• Quantum spin liquid states (2016, background): “It has been demonstrated by Jackeli and Khaliullin (Jackeli and Khaliullin, 2009) and by Chaloupka, Jackeli and Khaliullin (Chaloupka et al., 2010) that a generalization of the Kitaev honeycomb model may indeed arise in layered honeycomb lattice materials in the presence of strong spin-orbit couplin”
• Kitaev materials (2017, background): “honeycomb iridates by Chaloupka, Jackeli, and Khaliullin [26].”
• Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections (2017, methodology): “Exact diagonalization [72] as well as density matrix renormalization group studies in two dimensions [149] find that the QSL phases are stable to adding Heisenberg exchange of the order of a few percent.”