Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet 
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Ducatman, Samuel; Rousochatzakis, Ioannis; Perkins, Natalia B.

doi:10.1103/physrevb.97.125125

Cited by 55 publications

(123 citation statements)

References 81 publications

(205 reference statements)

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“…1 (a)] [17]. This model not only reproduces the known zero-field ground state, incommensurate noncoplanar spiral [14,17,31,32], but also the recently discovered field-induced canted zig-zag order [33,34] under a sufficiently strong magnetic field alongb-axis (S z direction), H h = −h j S z j . Based on first principle calculations [37], the experimentally relevant set of parameters for β-Li 2 IrO 3 is (J, K, Γ) = (0.063, −1, −0.33) in energy unit |K| = 1 [38].…”

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confidence: 61%

“…In this paper, we theoretically study the symmetryprotected topological nodal magnons in three dimensional Kitaev materials, whose properties can be tuned by changing the underlying magnetic order. It has been known that the novel bond-dependent exchange interactions lead to the highly unusual counter-rotating incommensurate spiral order in β-Li 2 IrO 3 [14,17,31,32], where the spin-orbit coupled j eff = 1/2 local moments of Ir 4+ are located on the three-dimensional hyperhoneycomb lattice. Upon the application of an external magnetic field along theb-axis, a recent experiment has found the phase transition to a canted zig-zag order [ Fig.…”

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confidence: 99%

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Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials

2019

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Topological phases in magnetic materials offer novel tunability of topological properties via varying the underlying magnetism. We show that three dimensional Kitaev materials can provide a great opportunity for controlling symmetry-protected topological nodal magnons. These materials are originally considered as strong candidates for the Kitaev quantum spin liquid due to the bonddependent frustrating spin exchange interactions. As a concrete example, we consider the symmetry and topology of the magnons in the canted zig-zag ordered state in the hyperhoneycomb β-Li2IrO3, which can be obtained by applying a magnetic field in the counter-rotating spiral state at zero field. It is shown that the magnetic glide symmetries and the non-Hermitian nature of the bosonic magnons lead to unique topological protection that is different from the case of the fermionic counterparts. We investigate how such topological magnons can be controlled by changing the symmetry of the underlying spin exchange interactions.

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confidence: 61%

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confidence: 99%

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials

2019

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“…Another classical spin model study found two different phases near the same parameter space depending on the relative strength of K and Γ . 32 Identifying spin liquids and nearby phases in quantum spin models in 3D is a challenging task. Exact diagonalization (ED) is difficult to perform due to the large Hilbert space.…”

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confidence: 99%

Counter-rotating spiral order in three-dimensional iridates: Signature of hidden symmetry in the Kitaev- Γ model

Stavropoulos

Catuneanu

2018

Phys. Rev. B

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The unconventional magnetic orderings found in Kitaev spin liquid candidates suggest frustration of spin interactions, and raise a possibility of nearby spin liquid phases. In particular, counterrotating spiral ordering in three-dimensional (3D) iridates is striking, and understanding the microscopic mechanism of such ordering may provide routes to 3D Kitaev spin liquids. We study a minimal 3D model including Kitaev K and a symmetric off-diagonal bond-dependent Γ interaction on the hyperhoneycomb lattice using exact diagonalization. We first show that a 12-site unitary transformation unveils a Heisenberg model with hidden SU(2) symmetry when K = Γ. The magnetic ordering in the transformed basis then generically maps to the counter-rotating noncoplanar spiral order of the original spin. The moment direction depends on perturbations away from the SU(2) point. When K and Γ are negative, a positive Heisenberg interaction favors the (110)-direction reported in the neutron scattering measurement on β-Li2IrO3. Our findings offer a relevant set of microscopic parameters, which in turn guides a way to approach possible Kitaev spin liquids. arXiv:1806.04688v2 [cond-mat.str-el]

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“…Both compounds are magnetically ordered at low temperatures [14][15][16][17]. Their non-coplanar incommensurate spin arrangements are driven by the Kitaev interactions [18] in combination with other exchange terms producing the nearest-neighbor spin Hamiltonian [19][20][21],…”

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Breakdown of Magnetic Order in the Pressurized Kitaev Iridate β−Li2IrO3

et al. 2018

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Temperature-pressure phase diagram of the Kitaev hyperhoneycomb iridate β-Li_{2}IrO_{3} is explored using magnetization, thermal expansion, magnetostriction, and muon spin rotation measurements, as well as single-crystal x-ray diffraction under pressure and ab initio calculations. The Néel temperature of β-Li_{2}IrO_{3} increases with the slope of 0.9 K/GPa upon initial compression, but the reduction in the polarization field H_{c} reflects a growing instability of the incommensurate order. At 1.4 GPa, the ordered state breaks down upon a first-order transition, giving way to a new ground state marked by the coexistence of dynamically correlated and frozen spins. This partial freezing in the absence of any conspicuous structural defects may indicate the classical nature of the resulting pressure-induced spin liquid, an observation paralleled to the increase in the nearest-neighbor off-diagonal exchange Γ under pressure.

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Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet β−Li2IrO3

Cited by 55 publications

References 81 publications

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials

Counter-rotating spiral order in three-dimensional iridates: Signature of hidden symmetry in the Kitaev- Γ model

Breakdown of Magnetic Order in the Pressurized Kitaev Iridate β−Li2IrO3

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