Crystalline Kitaev spin liquids

Yamada, Masahiko; Dwivedi, Vatsal; Hermanns, Maria

doi:10.1103/physrevb.96.155107

Cited by 43 publications

(61 citation statements)

References 99 publications

(152 reference statements)

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“…The Heisenberg exchange constant in MOFs also decays much faster than the Kitaev or symmetric exchange couplings, vanishing at φ 1 ≈ 0.0479. This phase can be achieved by applying a (pulsed) magnetic field B ∼ 100T over an area A ∼ 31.5Å 2 , which is fairly close to the values of A expected in MOFs [18,19]. Using A ∼ 31.5Å 2 ,…”

supporting

confidence: 62%

“…The path assigned in blue (red) gives rise to the phase φ1 (φ2) discussed in the main text.of enclosed flux. However, our basic mechanism will be relevant for the recent Kitaev material proposal in metalorganic frameworks (MOFs) [18,19], where the presence of organic ligands leads to larger distances between the magnetic ions, and hence considerably increased fluxes enclosed by the exchange pathways.Our paper is organised as follows. First, we provide the necessary background on the physics of magnetic exchange in our class of SO-coupled magnets, specifically introducing the so-called JKΓ model.…”

mentioning

confidence: 99%

“…of enclosed flux. However, our basic mechanism will be relevant for the recent Kitaev material proposal in metalorganic frameworks (MOFs) [18,19], where the presence of organic ligands leads to larger distances between the magnetic ions, and hence considerably increased fluxes enclosed by the exchange pathways.…”

mentioning

confidence: 99%

“…For most Kitaev transition metal candidates, like α-RuCl 3 , the modulation turns out to be small -at most relevant in the pulsed magnetic field regime to study the polarized phase -because the small area between magnetic ions leads only to a small value of enclosed flux. However, our basic mechanism will be relevant for the recent Kitaev material proposal in metalorganic frameworks (MOFs) [18,19], where the presence of organic ligands leads to larger distances between the magnetic ions, and hence considerably increased fluxes enclosed by the exchange pathways.…”

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confidence: 99%

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Orbital magnetic field effects in Mott insulators with strong spin-orbit coupling

2019

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We study the effect of a magnetic field on the low energy description of Mott insulators with strong spin-orbit (SO) coupling. In contrast to the standard case of the Hubbard model without SO coupling, we show that Peierls phases can modulate the magnetic exchange at leading order in the interaction. Our mechanism crucially depends on the existence of distinct exchange paths between neighboring magnetic ions enclosing a well-defined area. Thus it will generically be present in any solid state realisation of the Kitaev model and its extensions. We explicitly calculate the variation of the exchange constants of the so-called JKΓ model as a function of the magnetic flux. We discuss experimental implications of our findings for various settings of candidate Kitaev spin liquids.Effective low energy descriptions have been crucial for advancing our understanding of correlated quantum phenomena in condensed matter physics as the complexity of microscopic Hamitonians is dramatically reduced. The canonical example is the derivation of the Heisenberg model [1] with exchange constant J ∼ t 2 /U from the half filled single band Hubbard model with kinetic energy t and on-site repulsion U in the Mott insulator (MI) limit [2]. Thouless and later Takahashi realised that charge fluctuations beyond the leading order in the interaction give rise to new higher order ring exchange terms [2,3]. These have been extensively discussed in the early context of cuprate high temperature superconductivity [4] where they capture the increased role of charge-, hence, effective quantum-fluctuations when approaching the Mott transition. Moreover, higher order spin exchange terms may stabilise sought after quantum spin liquid (QSL) phases [5][6][7][8].An interesting observation for Hubbard models on nonbipartite lattices was that the application of a magnetic field changes the effective low energy model because charge fluctuations enclosing real space areas lead to higher order spin interactions sensitive to the enclosed magnetic flux [9]. It was shown that the Peierls phases of the orbital magnetic field induce a three-spin scalar chirality term [9] at order t 3 /U 2 which is odd under time-reversal symmetry (TRS) and which may again stabilise a QSL phase [10]. In recent years the long search for QSLs [11,12] has concentrated on MIs in the strong spin-orbit (SO) coupling limit [13][14][15] following the proposal [16] that they might be described by the Kitaev honeycomb model (KHM) at low energies [17].Here, we investigate how the low energy description of MI with strong SO coupling is modified in presence of a magnetic field. We discover that in contrast to the Hubbard model, the exchange constants are modified to leading order in the interactions; and that TRS odd terms like a diamagnetic Zeeman term appear also for the bipartite honeycomb lattice. For most Kitaev transition metal candidates, like α-RuCl 3 , the modulation turns out to be small -at most relevant in the pulsed magnetic field regime to study the polarized phase -because the small a...

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supporting

confidence: 62%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Orbital magnetic field effects in Mott insulators with strong spin-orbit coupling

2019

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“…[61] This opens up new possibilities for new-generation devices that combine conventional microelectronics with spin-dependent effects. [63,64] These special states being extremely complex to observe experimentally, MOFs could be a platform adapted for spintronics. As with their semiconducting, metallic, and excitonic properties, the MOF's structure determines this spin transfer effect; spin transport is observed mostly in 2D MOFs (e.g., M 3 C 12 S 12 and M 3 C 12 O 12 , where M = Zn, Cd, Hg, Be, or Mg).…”

Section: Spin Transfermentioning

confidence: 99%

Metal–Organic Frameworks in Modern Physics: Highlights and Perspectives

et al. 2019

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Owing to the synergistic combination of a hybrid organic–inorganic nature and a chemically active porous structure, metal–organic frameworks have emerged as a new class of crystalline materials. The current trend in the chemical industry is to utilize such crystals as flexible hosting elements for applications as diverse as gas and energy storage, filtration, catalysis, and sensing. From the physical point of view, metal–organic frameworks are considered molecular crystals with hierarchical structures providing the structure‐related physical properties crucial for future applications of energy transfer, data processing and storage, high‐energy physics, and light manipulation. Here, the perspectives of metal–organic frameworks as a new family of functional materials in modern physics are discussed: from porous metals and superconductors, topological insulators, and classical and quantum memory elements, to optical superstructures, materials for particle physics, and even molecular scale mechanical metamaterials. Based on complementary properties of crystallinity, softness, organic–inorganic nature, and complex hierarchy, a description of how such artificial materials have extended their impact on applied physics to become the mainstream in material science is offered.

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