Li<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>RhO<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>3</mml:mn></mml:msub></mml:math>: A spin-glassy relativistic Mott insulator

Luo, Yongkang; Cao, Chao; Si, Bingqi; Li, Yuke; Bao, Jin‐Ke; Guo, Hanjie; Yang, Xiukang; Shen, Chengchao; Feng, Chunmu; Dai, Jianhui; Cao, Guanghan; Xu, Zhu-An

doi:10.1103/physrevb.87.161121

Cited by 54 publications

(65 citation statements)

References 36 publications

(46 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…α-RuCl 3 exhibits a complex magnetic ordered state, while recent NMR results suggest a gapping-out of magnetic excitations towards low temperatures once the order is suppressed by a magnetic field [27,32]. Surprisingly, the structural 4d homologue Li 2 RhO 3 also shows insulating behavior in spite of reduced spin-orbit interactions [37], and even more interestingly this system exhibits no sign of long-range magnetic ordering (LRO), unlike its Ir counterpart [38]. Magnetic exchange between Rh 4+ ions are expected to be highly frustrated, which makes this pseudospin j eff = 1 2 system a promising candidate for a Kitaev QSL.…”

Section: Introductionmentioning

confidence: 95%

Local magnetism and spin dynamics of the frustrated honeycomb rhodate Li2RhO3

et al. 2017

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 95%

Local magnetism and spin dynamics of the frustrated honeycomb rhodate Li2RhO3

et al. 2017

View full text Add to dashboard Cite

“…On a honeycomb lattice, for instance, the leading anisotropic interactions take the form of the Kitaev model 3 , which is a rare example of exactly solvable models with nontrivial properties such as Majorana fermions and non-abelian statistics, and with potential links to quantum computing 4 . Realization of the Kitaev model is now being intensively sought out in a growing number of materials [7][8][9][10][11][12][13] , including 3D extensions of the honeycomb Li 2 IrO 3 , dubbed "hyper-honeycomb"…”

mentioning

confidence: 99%

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3

et al. 2015

View full text Add to dashboard Cite

Heisenberg interactions are ubiquitous in magnetic materials and have been prevailing in modeling and designing quantum magnets. Bonddirectional interactions 1-3 offer a novel alternative to Heisenberg exchange and provide the building blocks of the Kitaev model 4 , which has a quantum spin liquid (QSL) as its exact ground state. Honeycomb iridates, A 2 IrO 3 (A=Na,Li), offer potential realizations of the Kitaev model, and their reported magnetic behaviors may be interpreted within the Kitaev framework. However, the extent of their relevance to the Kitaev model remains unclear, as evidence for bonddirectional interactions remains indirect or conjectural. Here, we present direct evidence for dominant bond-directional interactions in antiferromagnetic Na 2 IrO 3 and show that they lead to strong magnetic frustration. Diffuse magnetic xray scattering reveals broken spin-rotational symmetry even above T N , with the three spin components exhibiting nano-scale correlations along distinct crystallographic directions. This spinspace and real-space entanglement directly manifests the bond-directional interactions, provides the missing link to Kitaev physics in honeycomb iridates, and establishes a new design strategy toward frustrated magnetism.Iridium (IV) ions with pseudospin-1/2 moments form in Na 2 IrO 3 a quasi-two-dimensional (2D) honeycomb network, which is sandwiched between two layers of oxygen ions that frame edge-shared octahedra around the magnetic ions and mediate superexchange interactions between neighboring pseudospins (Fig. 1a). Owing to the particular spin-orbital structure of the pseudospin 5,6 , the isotropic part of the magnetic interaction is strongly suppressed in the 90• bonding geometry of the edgeshared octahedra 2,3 , thereby allowing otherwise subdominant bond-dependent anisotropic interactions to play the main role and manifest themselves at the forefront of magnetism. This bonding geometry, common to many transition-metal oxides, in combination with the pseudospin that arises from strong spin-orbit coupling gives rise to an entirely new class of magnetism beyond the traditional paradigm of Heisenberg magnets. On a honeycomb lattice, for instance, the leading anisotropic interactions take the form of the Kitaev model 3 , which is a rare example of exactly solvable models with nontrivial properties such as Majorana fermions and non-abelian statistics, and with potential links to quantum computing 4 . Realization of the Kitaev model is now being intensively sought out in a growing number of materials 7-13 , including 3D extensions of the honeycomb Li 2 IrO 3 , dubbed "hyper-honeycomb" 7 and "harmonichoneycomb" 8 , and 4d transition-metal analogs such as RuCl 3 12 and Li 2 RhO 3 13 . Although most of these are known to magnetically order at low temperature, they exhibit a rich array of magnetic structures including zigzag 14-16 , spiral 17 , and other more complex non-coplanar structures 18,19 that are predicted to occur in the vicinity of the Kitaev QSL phase [20][21][22][23] , which hosts man...

show abstract

“…, while Li 2 RhO 3 and Na 2 IrO 3 are reported to exhibit threedimensional variable-range-hoping behavior [5,6]. We estimated a gap energy Δ of Li 2 MnO 3 to be about 600~700 meV, as compared with Δ=78 meV for Li 2 RhO 3 and Δ=340~400 meV for Na 2 IrO 3 [3,5,7,8]. Resistivity measured on a single crystal Li 2 MnO 3 sample is strongly anisotropic so that the out-of-plane resistivity is 10 times larger than the in-plane resistivity [3].…”

Section: Introductionmentioning

confidence: 99%

“…Because of the edge-sharing TMO 6 octahedra arrangement, d-d direct exchange and TM-O-TM 90˚ super-exchange produce antiferromagnetic and ferromagnetic interactions, respectively, which then compete with one another [4]. , while Li 2 RhO 3 and Na 2 IrO 3 are reported to exhibit threedimensional variable-range-hoping behavior [5,6]. We estimated a gap energy Δ of Li 2 MnO 3 to be about 600~700 meV, as compared with Δ=78 meV for Li 2 RhO 3 and Δ=340~400 meV for Na 2 IrO 3 [3,5,7,8].…”

Section: Introductionmentioning

confidence: 99%

Experimental percolation studies of two-dimensional honeycomb lattice: Li₂Mn_1–xTi_xO₃

Lee

Park

Kim

et al. 2014

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Li 2 MnO 3 with a S=3/2 two-dimensional Mn honeycomb lattice has a Neel-type antiferromagnetic transition at T N =36 K with a broad maximum in the magnetic susceptibility at T M =48 K. We have investigated site percolation effects by replacing Mn with nonmagnetic Ti, and completed a full phase diagram of Li 2 Mn 1-x Ti x O 3 solid solution systems to find that the antiferromagnetic transition is suppressed continuously without a clear sign of changes in the Neel-type antiferromagnetic structure. The magnetic ordering eventually disappears at a critical concentration of x c =0.7. This experimental observation is consistent with percolation theories for a honeycomb lattice when one considers up to 3 rd nearest-neighbor interactions. This study highlights the importance of interaction beyond nearest neighbors even for Mn element with relative localized 3d electrons in the honeycomb lattice.

show abstract

Li2RhO3: A spin-glassy relativistic Mott insulator

Cited by 54 publications

References 36 publications

Local magnetism and spin dynamics of the frustrated honeycomb rhodate Li2RhO3

Local magnetism and spin dynamics of the frustrated honeycomb rhodate Li2RhO3

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3

Experimental percolation studies of two-dimensional honeycomb lattice: Li₂Mn_1–xTi_xO₃

Contact Info

Product

Resources

About

Li2RhO3: A spin-glassy relativistic Mott insulator

Cited by 54 publications

References 36 publications

Local magnetism and spin dynamics of the frustrated honeycomb rhodate Li2RhO3

Local magnetism and spin dynamics of the frustrated honeycomb rhodate Li2RhO3

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3

Experimental percolation studies of two-dimensional honeycomb lattice: Li2Mn1–xTixO3

Contact Info

Product

Resources

About

Experimental percolation studies of two-dimensional honeycomb lattice: Li₂Mn_1–xTi_xO₃