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Recently, Co-based honeycomb magnets have been proposed as promising candidate materials to host the Kitaev spin liquid state. One of the front-runners is BaCo$_2$(AsO$_4$)$_2$ (BCAO), where it was suggested that the exchange processes…

Recently, honeycomb cobaltates with 3$d^7$ were proposed to display Kitaev physics despite weak spin-orbit coupling. However, other theoretical and experimental works found leading XXZ Heisenberg and negligible Kitaev interactions in…

Strongly Correlated Electrons · Physics 2023-03-01 Xiaoyu Liu , Hae-Young Kee

The derivation of effective spin models describing the low energy magnetic properties of undoped CuO_2-planes is reinvestigated. Our study aims at a quantitative determination of the parameters of effective spin models from those of a…

Strongly Correlated Electrons · Physics 2009-11-07 E. Müller-Hartmann , A. Reischl

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

A range of honeycomb-lattice compounds has been proposed and investigated in the search for a topological Kitaev spin liquid. However, sizable Heisenberg interactions and additional symmetry-allowed exchange anisotropies in the magnetic…

Strongly Correlated Electrons · Physics 2018-10-18 Ravi Yadav , Stephan Rachel , Liviu Hozoi , Jeroen van den Brink , George Jackeli

Kitaev materials are of great interest due to their potential in realizing quantum spin liquid (QSL) states and applications in topological quantum computing. In the pursuit of realizing Kitaev QSL, a Mott insulator with strong…

Materials Science · Physics 2025-12-30 Yaozhenghang Ma , Ke Yang , Yuxuan Zhou , Hua Wu

We study the magnetic interactions in Mott-Hubbard systems with partially filled $t_{2g}$-levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy…

Strongly Correlated Electrons · Physics 2009-02-11 G. Jackeli , G. Khaliullin

We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To that end, we give a…

Strongly Correlated Electrons · Physics 2024-04-25 Ioannis Rousochatzakis , Natalia B. Perkins , Qiang Luo , Hae-Young Kee

The ground state and Hamiltonian of the honeycomb lattice material BaCo$_{2}$(AsO$_{4}$)$_{2}$ hosting magnetic Co$^{2+}$, have been debated for decades. The recent proposal for anisotropic bond-dependent interactions in such honeycomb…

The Kitaev spin model offers an exact quantum spin liquid in the ground state, which has stimulated exploration of its material realization over the last decade. Thus far, most of the candidates are found in $4d$- and $5d$-electron…

Strongly Correlated Electrons · Physics 2020-11-03 Seong-Hoon Jang , Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

Cobaltates with 3$d$ based layered honeycomb structure were recently proposed as Kitaev magnets and putative candidates to host the long-sought Kitaev spin liquid. Here we present inelastic neutron scattering results down to 50 mK for…

Strongly Correlated Electrons · Physics 2023-01-18 Alaric L. Sanders , Richard A. Mole , Jiatu Liu , Alex J. Brown , Dehong Yu , Chris D. Ling , Stephan Rachel

The spin S=$\frac{1}{2}$ Kitaev honeycomb model has attracted significant attention, since emerging candidate materials have provided a playground to test non-Abelian anyons. The Kitaev model with higher spins has also been theoretically…

Strongly Correlated Electrons · Physics 2019-07-24 P. Peter Stavropoulos , D. Pereira , Hae-Young Kee

Motivated by the on-going discussion on the nature of magnetism in the quantum Ising chain CoNb$_2$O$_6$, we present a first-principles-based analysis of its exchange interactions by applying an \textit{ab initio} approach with additional…

Strongly Correlated Electrons · Physics 2024-06-27 Amanda A. Konieczna , David A. S. Kaib , Stephen M. Winter , Roser Valentí

The Kitaev honeycomb model plays a pivotal role in the quest for quantum spin liquids, in which fractional quasiparticles would provide applications in decoherence-free topological quantum computing. The key ingredient is the bond-dependent…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

CrX$_3$ (X = Cl, Br, I) have the same crystal structure and Hamiltonian but different ligand spin-orbit coupling (SOC) constant $\lambda_X$, providing excellent material platform exploring for exotic two-dimensional (2D) spin orders. Their…

The compounds A$_2$Cu$_3$O(SO$_4$)$_3$ (A=Na, K) are characterized by copper hexamers which are weakly coupled to realize antiferromagnetic order below TN=3 K. They constitute novel quantum spin systems with S=1 triplet ground-states. We…

Strongly Correlated Electrons · Physics 2020-06-16 A. Furrer , A. Podlesnyak , J. M. Clemente-Juan , E. Pomjakushina , H. U. Guedel

By means of density functional theory, we investigate the magnetic ground state of edge-sharing CuO_2 spin-chains, as found in the (La,Ca,Sr)_14Cu_24O_41system, for instance. Our data rely on spin-polarized electronic structure calculations…

Strongly Correlated Electrons · Physics 2009-11-13 U. Schwingenschloegl , C. Schuster

Co-based honeycomb magnets have been actively studied recently for the potential realization of emergent quantum magnetism therein such as the Kitaev spin liquid. Here we employ density functional and dynamical mean-field theory methods to…

Strongly Correlated Electrons · Physics 2025-08-11 Subhasis Samanta , Fabrizio Cossu , Heung-Sik Kim

Compounds of transition metal ions with strong spin-orbit coupling recently attracted attention due to the possibility to host frustrated bond-dependent anisotropic magnetic interactions. In general, such interactions lead to complex phase…

Strongly Correlated Electrons · Physics 2019-02-21 Juraj Rusnačko , Dorota Gotfryd , Jiří Chaloupka

Despite a clear demonstration of bistability in spin-crossover (SCO) materials, the absence of long-range magnetic order and poor electrical conductivity limit their prospect in spintronic and nanoelectronic applications. Intending to…