Finite-temperature phase diagram of the classical Kitaev-Heisenberg model

Price, Craig; Perkins, Natalia B.

doi:10.1103/physrevb.88.024410

Cited by 84 publications

(73 citation statements)

References 37 publications

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“…The states which are selected by the thermal fluctuations are the collinear states with the order parameter pointing along one of the cubic axes, thus confirming previous results of the Monte Carlo simulations [34][35][36] and spin wave analysis by Chaloupka et al 23 We discuss the relevance of our findings for the nearest neighbor Kitaev-Heisenberg model for α−RuCl 3 in Sec. IV.…”

Section: Order By Disorder In the Extended Nearest Neighbor Kitaesupporting

confidence: 89%

Selection of direction of the ordered moments inNa2IrO3andα−RuCl3

2016

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The magnetic orders in Na2IrO3 and α−RuCl3, honeycomb systems with strong spin-orbit coupling and correlations, have been recently described by models with the dominant Kitaev interactions. In this work we discuss how the orientation of the magnetic order parameter is selected in this class of models. We show that while the order-by-disorder mechanism in the models with solely Kitaev anisotropies always select cubic axes as easy axes for magnetic ordering, the additional effect of other small bond-dependent anisotropies, such as, e.g., Γ-terms, lead to a deviation of the order parameter from the cubic directions. We show that both the zigzag ground state and the face-diagonal orientation of the magnetic moments in Na2IrO3 can be obtained within the J1 − K1 − J2 − K2 − J3 model in the presence of perturbatively small Γ-terms. We also show that the zigzag phase found in the nearest neighbor Kitaev-Heisenberg model, relevant for α−RuCl3, has some stability against the Γ-term.

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Section: Order By Disorder In the Extended Nearest Neighbor Kitaesupporting

confidence: 89%

Selection of direction of the ordered moments inNa2IrO3andα−RuCl3

2016

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“…The results in Refs. [20,21] also indicate two thermal transitions upon cooling to any of the ordered low-T phases. The system enters a critical phase at T u , with power-law spin correlations, and a state with true long-range order is reached only below T l < T u .…”

Section: Clean Hk Modelmentioning

confidence: 98%

Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation

Andrade

Vojta

2014

Phys. Rev. B

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Iridates are characterized by a fascinating interplay of spin-orbit and electron-electron interactions. The honeycomb-lattice materials A 2 IrO 3 (A = Na,Li) have been proposed to realize pseudospin-1/2 Mott insulating states with strongly anisotropic exchange interactions, described by the Heisenberg-Kitaev model, but other scenarios involving longer-range exchange interactions or more delocalized electrons have been put forward as well. Here we study the influence of nonmagnetic doping, i.e., depleted moments, on the magnetic properties of experimentally relevant variants of the Heisenberg-Kitaev and Heisenberg J 1 -J 2 -J 3 models. We generically find that the zigzag order of the clean system is replaced, upon doping, by a spin-glass state with short-ranged zigzag correlations. We determine the spin-glass temperature as a function of the doping level and show that this quantity allows one to assess the importance of longer-range exchange interactions when the doping is driven across the site-percolation threshold of the honeycomb lattice.

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“…In particular, Price and Perkins found two magnetic transitions in their recent quantum Monte Carlo investigation of classical Kitaev-Heisenberg model. 17,18 They found that in a purely two-dimensional system, the Kitaev term reduces the continuous symmetry due to Heisenberg interaction, and is responsible for finite temperature long range order. In addition, they found that the phase transition proceeds in two steps.…”

mentioning

confidence: 99%

Magnetic order inα−RuCl3: A honeycomb-lattice quantum magnet with strong spin-orbit coupling

et al. 2015

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We report magnetic and thermodynamic properties of single crystal α-RuCl3, in which the Ru 3+ (4d 5 ) ion is in its low spin state and forms a honeycomb lattice. Two features are observed in both magnetic susceptibility and specific heat data; a sharp peak at 7 K and a broad hump near 10-15K. In addition, we observe a metamagnetic transition between 5 T and 10 T. Our neutron diffraction study of single crystal samples confirms that the low temperature peak in the specific heat is associated with a magnetic order with unit cell doubling along the honeycomb (100) direction, which is consistent with zigzag order, one of the types of magnetic order predicted within the framework of the Kitaev-Heisenberg model.

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Finite-temperature phase diagram of the classical Kitaev-Heisenberg model

Cited by 84 publications

References 37 publications

Selection of direction of the ordered moments inNa2IrO3andα−RuCl3

Selection of direction of the ordered moments inNa2IrO3andα−RuCl3

Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation

Magnetic order inα−RuCl3: A honeycomb-lattice quantum magnet with strong spin-orbit coupling

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