Novel Chiral Quantum Spin Liquids in Kitaev Magnets

Ralko, Arnaud; Merino, Jaime

doi:10.1103/physrevlett.124.217203

Cited by 21 publications

(10 citation statements)

References 43 publications

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“…The CSL was initially proposed by Kalmeyer and Laughlin [26], and is realized in some geometrically frustrated magnets [27][28][29][30][31][32][33][34][35]. While CSL can be induced by a magnetic field [36,37] or a chiral interaction [38], one is curious to know if it could be achieved on a honeycomb lattice without imposing TRS breaking terms.…”

mentioning

confidence: 99%

Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets

Luo,

Stavropoulos,

Gordon

et al. 2020

Preprint

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mentioning

confidence: 99%

Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets

Luo,

Stavropoulos,

Gordon

et al. 2020

Preprint

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“…Moreover, a direct calculation of the topological invariant Chern number ν on the occupied Majorana bands 18 (with negative energy) shows that this state is a gapped topological π-QSL with ν = ±4.…”

mentioning

confidence: 98%

“…where the first three terms are associated with magnetic orders while the next three with spin liquid formation. With such decoupling, our Majorana mean-field theory 18 (MMFT) allows to analyze on equal footing quantum spin liquids (QSL)( S i = 0) as well as magnetically ordered states. To do so, as done in [18], we solve numerically the set of self consistent equations, together with a physical constraint connected to the number of particles per site that our theory has to fulfill.…”

mentioning

confidence: 99%

Majorana chiral spin liquid in Mott insulating cuprates

Merino,

Ralko

2021

Preprint

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“…In spite of numerous studies [54][55][56][57][58][59][60][61][62] along special field directions such as [001] and [111], there exists limited knowledge on the complete field-angle dependence of κ xy in the Kitaev model. For example, in [53], the halfquantized THC measurements on α-RuCl 3 has been attributed to the pure Kitaev spin liquid.…”

mentioning

confidence: 99%

Phase Diagrams of Kitaev Models for Arbitrary Magnetic-Field Orientations

Yılmaz¹,

Kampf²,

Yip³

2022

Preprint

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The Kitaev model is an exactly solvable quantum spin model within the language of the constrained real fermions. In spite of numerous studies along special magnetic-field orientations, there is a limited amount of knowledge on the complete field-angle characterization, which can provide valuable information on the existence of fractionalized excitations. For this purpose, we first extend previous studies on the field-angle response of the ferromagnetic Kitaev model to its antiferromagnetic version. Yet, the realistic description of the candidate Kitaev materials, within the edge-sharing octahedra paradigm, require additional coupling terms, including a large off-diagonal term Γ along with possible anisotropic corrections Γp. It is therefore not sufficient to depend on the topological properties of the bare Kitaev model as the only source for the observed thermal Hall conductivity signals and an understanding of these extended Kitaev models with a complete field response is demanded. Starting from the zero-field phase diagram of realistic K-Γ-Γp models, we identify antiferromagnetic zig-zag and (partially) polarized phases as well as two unusual Kitaev(-Γ) spin-liquid phases. The magnetic field response of these phases for arbitrary field orientations provides a remarkably rich phase diagram. A partially polarized phase is revealed between two ordered phases with a suppressed magnetization, finite fractionalization and finite Chern number. This phase is characterized as an extended Kitaev-Γ spin-liquid. To comply our findings with experiments, we reproduce the asymmetry in the extent of the intermediate phases specifically for the two different field directions θ = ±60 o .

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Novel Chiral Quantum Spin Liquids in Kitaev Magnets

Cited by 21 publications

References 43 publications

Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets

Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets

Majorana chiral spin liquid in Mott insulating cuprates

Phase Diagrams of Kitaev Models for Arbitrary Magnetic-Field Orientations

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