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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…

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

In the search for quantum spin liquids, candidate materials for the Kitaev model and its extensions have been intensively explored during the past decade, as the models realize the exact quantum spin liquids in the ground state. Thus far,…

Strongly Correlated Electrons · Physics 2018-01-22 Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

The current efforts to find the materials hosting Kitaev model physics have been focused on Mott insulators of d^5 pseudospin-1/2 ions Ir^{4+} and Ru^{3+} with t_{2g}^5(S=1/2, L=1) electronic configuration. Here we propose that the Kitaev…

Strongly Correlated Electrons · Physics 2018-01-11 Huimei Liu , Giniyat Khaliullin

The Kitaev model, a honeycomb network of spins with bond-dependent anisotropic interactions, is a rare example of having a quantum spin liquid ground state. Although most Kitaev model candidate materials eventually order magnetically due to…

Finding new materials with antiferromagnetic (AFM) Kitaev interaction is an urgent issue to broaden and enrich the quantum magnetism research significantly. By carrying out inelastic neutron scattering experiments and subsequent analysis,…

Kitaev iridates have been proposed as candidates for realizing an elusive quantum spin liquid (QSL) state, in which strong spin-orbit coupling and bond-directional exchange generate a highly frustrated and entangled ground state. However,…

Na$_2$IrO$_3$, a honeycomb 5$d^5$ oxide, has been recently identified as a potential realization of the Kitaev spin lattice. The basic feature of this spin model is that for each of the three metal-metal links emerging out of a metal site,…

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

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also…

Strongly Correlated Electrons · Physics 2021-02-24 Ilia Khait , P. Peter Stavropoulos , Hae-Young Kee , Yong Baek Kim

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

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 spin liquid is proposed to be promisingly realized in low spin-orbit coupling $3d$ systems, represented by Na$_3$Co$_2$SbO$_6$ and Na$_3$Ni$_2$BiO$_6$. However, the existence of Kitaev interaction is still debatable among…

Strongly Correlated Electrons · Physics 2024-06-10 Zefeng Chen , Binhua Zhang , Weiqin Zhu , Lianchuang Li , Boyu Liu , Junsheng Feng , Changsong Xu , Hongjun Xiang

The Heisenberg-Kitaev (HK) model on the triangular lattice is conceptually interesting for its interplay of geometric and exchange frustration. HK models are also thought to capture the essential physics of the spin-orbital entanglement in…

Strongly Correlated Electrons · Physics 2015-04-29 Michael Becker , Maria Hermanns , Bela Bauer , Markus Garst , Simon Trebst

The Kitaev spin liquid provides a rare example of well-established quantum spin liquids in more than one dimension. It is obtained as the exact ground state of the Kitaev spin model with bond-dependent anisotropic interactions. The peculiar…

Strongly Correlated Electrons · Physics 2020-07-14 Y. Motome , R. Sano , S. -H. Jang , Y. Sugita , Y. Kato

The quest for quantum spin liquids has garnered significant attention due to their rich physics and disruptive prospects in quantum communication and computation. Spin-orbit coupling, electron correlation, and structural distortion play…

Strongly Correlated Electrons · Physics 2024-12-24 Deepak K Roy , Mukul Kabir

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

Strongly Correlated Electrons · Physics 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

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

The quest for Kitaev quantum spin liquids has led to great interest in honeycomb quantum magnets with strong spin-orbit coupling. It has been recently proposed that even Mott insulators with $3d$ transition metal ions, having nominally weak…

Strongly Correlated Electrons · Physics 2021-11-25 Shreya Das , Sreekar Voleti , Tanusri Saha-Dasgupta , Arun Paramekanti

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
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