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We lay the foundation for determining the microscopic spin interactions in two-dimensional (2D) ferromagnets by combining angle-dependent ferromagnetic resonance (FMR) experiments on high quality CrI$_3$ single crystals with theoretical…

$\alpha$-RuCl$_3$ has been extensively studied recently because of potential bond-dependent Kitaev magnetic exchange interactions and the resulting quantum spin liquid phase that can be realized therein. It has been known that the covalency…

Strongly Correlated Electrons · Physics 2022-01-13 Heung-Sik Kim

The Kitaev interaction, found in candidate materials such as $\alpha$-RuCl$_3$, occurs through the metal ($M$)-ligand ($X$)-metal ($M$) paths of the edge-sharing octahedra because the large spin-orbit coupling (SOC) on the metal atoms…

Magnetic anisotropy is crucially important for the stabilization of two-dimensional (2D) magnetism, which is rare in nature but highly desirable in spintronics and for advancing fundamental knowledge. Recent works on CrI$_3$ and CrGeTe$_3$…

Materials Science · Physics 2018-11-14 Changsong Xu , Junsheng Feng , Hongjun Xiang , L. Bellaiche

Kitaev interactions underlying a quantum spin liquid have been long sought, but experimental data from which their strengths can be determined directly is still lacking. Here, by carrying out inelastic neutron scattering measurements on…

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

Strongly Correlated Electrons · Physics 2022-12-20 Shishir Kumar Pandey , Ji Feng

Spin-mechanical coupling is vital in diverse fields including spintronics, sensing and quantum transduction. Two-dimensional (2D) magnetic materials provide a unique platform for investigating spin-mechanical coupling, attributed to their…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 Fan Fei , Yulu Mao , Wuzhang Fang , Wenhao Liu , Jack P. Rollins , Aswin L. N. Kondusamy , Bing Lv , Yuan Ping , Ying Wang , Jun Xiao

Co$^{2+}$ ions in an octahedral crystal field, stabilise a j$_{eff}$ = 1/2 ground state with an orbital degree of freedom and have been recently put forward for realising Kitaev interactions, a prediction we have tested by investigating…

$\alpha$-RuCl$_3$ is drawing much attention as a promising candidate Kitaev quantum spin liquid. However, despite intensive research efforts, controversy remains about the form of the basic interactions governing the physics of this…

Strongly Correlated Electrons · Physics 2020-04-16 J. A. Sears , Li Ern Chern , Subin Kim , P. J. Bereciartua , S. Francoual , Yong Baek Kim , Young-June Kim

A bond-directional anisotropic exchange interaction, called the Kitaev interaction, is a promising route to realize quantum spin liquids. The Kitaev interactions were found in Mott insulators with the strong spin-orbit coupling, in the…

Strongly Correlated Electrons · Physics 2020-04-08 Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

Kitaev exchange, a new paradigm in quantum magnetism research, occurs for 90$^{\circ}$ metal-ligand-metal links, $t_{2g}^5$ transition ions, and sizable spin-orbit coupling. It is being studied in honeycomb compounds but also on triangular…

Strongly Correlated Electrons · Physics 2023-10-11 Pritam Bhattacharyya , Nikolay A. Bogdanov , Satoshi Nishimoto , Stephen D. Wilson , Liviu Hozoi

In this study, we reanalyze the magnetic interactions in the Kitaev spin liquid candidate materials Na$_2$IrO$_3$, $\alpha$-RuCl$_3$, and $\alpha$-Li$_2$IrO$_3$ using nonperturbative exact diagonalization methods. These methods are more…

Strongly Correlated Electrons · Physics 2016-07-06 Stephen M. Winter , Ying Li , Harald O. Jeschke , Roser Valenti

Although chromium trihalides are widely regarded as a promising class of two-dimensional magnets for next-generation devices, an accurate description of their electronic structure and magnetic interactions has proven challenging to achieve.…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Ravi Yadav , Lei Xu , Michele Pizzochero , Jeroen van den Brink , Mikhail I. Katsnelson , Oleg V. Yazyev

We derive the microscopic spin Hamiltonian for rhombohedral CrI$_3$ using extensive first-principles density functional theory (DFT) calculations which incorporate spin-orbit coupling and Hubbard U. Our calculations indicate a dominant…

Anisotropic magnetic exchange interactions lead to a surprisingly rich variety of the magnetic properties. Considering the spin orbit coupling (SOC) as perturbation, we extract the general expression of a bilinear spin Hamiltonian,…

Materials Science · Physics 2023-08-29 Di Wang , Xiangyan Bo , Feng Tang , Xiangang Wan

Materials that realize Kitaev spin models with bond-dependent anisotropic interactions have long been searched for, as the resulting frustration effects are predicted to stabilize novel forms of magnetic order or quantum spin liquids. Here…

Strongly Correlated Electrons · Physics 2014-11-11 A. Biffin , R. D. Johnson , I. Kimchi , R. Morris , A. Bombardi , J. G. Analytis , A. Vishwanath , R. Coldea

Ferromagnetism in the two-dimensional CrI$_3$ has generated a lot of excitement, and it was recently proposed that the spin-orbit coupling (SOC) in Iodine may generate bond-dependent spin interactions leading to magnetic anisotropy. Here we…

Strongly Correlated Electrons · Physics 2021-03-17 P. Peter Stavropoulos , Xiaoyu Liu , Hae-Young Kee

The detection of considerable spin frustration in honeycomb cobalt oxide compounds indicates the presence of sizable Kitaev interactions in these systems, enlarging the pool of Kitaev spin liquid candidates. Several key questions remain to…

Strongly Correlated Electrons · Physics 2026-04-07 Pritam Bhattacharyya , Abdul Basit , Thorben Petersen , Stephan Rachel , Satoshi Nishimoto , Liviu Hozoi

$\alpha$-RuCl$_3$ has been proposed recently as an excellent playground for exploring Kitaev physics on a two-dimensional (2D) honeycomb lattice. However, structural clarification of the compound has not been completed, which is crucial in…

Materials Science · Physics 2016-04-27 Heung-Sik Kim , Hae-Young Kee

In transition-metal compounds with partially filled $4d$ and $5d$ shells spin-orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This…

Strongly Correlated Electrons · Physics 2017-01-26 Simon Trebst
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