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Highly frustrated magnetism in relativistic d4 Mott insulators: Bosonic analog of the Kitaev honeycomb model

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Název česky Vysoce frustrovaný magnetismus v relativistických d4 Mottových izolantech: Bosonová analogie Kitaevova voštinového modelu
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CHALOUPKA Jiří KHALIULLIN Giniyat

Rok publikování 2019
Druh Článek v odborném periodiku
Časopis / Zdroj Physical Review B
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.224413
Doi http://dx.doi.org/10.1103/PhysRevB.100.224413
Klíčová slova spin models; magnetism; Kitaev model
Popis We study the orbitally frustrated singlet-triplet models that emerge in the context of spin-orbit coupled Mott insulators with t2g4 electronic configuration. In these compounds, low-energy magnetic degrees of freedom can be cast in terms of three-flavor “triplon” operators describing the transitions between spin-orbit entangled J = 0 ionic ground state and excited J = 1 levels. In contrast to a conventional, flavor-isotropic O(3) singlet-triplet models, spin-orbit entangled triplon interactions are flavor-and-bond selective and thus highly frustrated. In a honeycomb lattice, we find close analogies with the Kitaev spin model—an infinite number of conserved quantities, no magnetic condensation, and spin correlations being strictly short-ranged. However, due to the bosonic nature of triplons, there are no emergent gapless excitations within the spin gap, and the ground state is a strongly correlated paramagnet of dense triplon pairs with no long-range entanglement. Using exact diagonalization, we study the bosonic Kitaev model and its various extensions, which break exact symmetries of the model and allow magnetic condensation of triplons. Possible implications for magnetism of ruthenium oxides are discussed.
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