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The $S=3/2$ Kitaev honeycomb model (KHM) is unique among the spin-$S$ Kitaev models due to a massive ground state quasi-degeneracy that hampered previous numerical and analytical studies. In a recent work~\cite{jin2022unveiling}, we showed…

Strongly Correlated Electrons · Physics 2023-08-15 Willian M. H. Natori , Hui-Ke Jin , Johannes Knolle

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Tessa Cookmeyer , Sankar Das Sarma

The layered triangular lattice owing to $1:2$ order of $B$ and $B'$ sites in the triple perovskite $A_3 B B'_2$O$_9$ family provides an enticing domain for exploring the complex phenomena of quantum spin liquids (QSLs). We report a…

Strongly Correlated Electrons · Physics 2024-08-07 K. Bhattacharya , S. Mohanty , A. D. Hillier , M. T. F. Telling , R. Nath , M. Majumder

Quantum spin liquids (QSLs) are topologically ordered exotic states of matter that host fractionalized excitations. Kitaev proposed a particular route towards a QSL via strongly bond-dependent interactions on the hexagonal lattice. A number…

Strongly Correlated Electrons · Physics 2022-12-06 Xinshu Zhang , Yuanyuan Xu , T. Halloran , Ruidan Zhong , R. J. Cava , C. Broholm , N. Drichko , N. P. Armitage

We investigate the edge magnetism and the spin transport properties of an SU(2)-symmetric Kitaev spin liquid (KSL) model put forward by Yao and Lee [Phys. Rev. Lett. \textbf{107}, 087205 (2011)] on the honeycomb lattice. In this model, the…

Strongly Correlated Electrons · Physics 2018-10-10 V. S. de Carvalho , H. Freire , E. Miranda , R. G. Pereira

The Kitaev quantum spin liquid (QSL) on the two-dimensional honeycomb lattice epitomizes an entangled topological state, where the spins fractionalize into Majorana fermions. This state has aroused tremendous interest because it harbors…

Strongly Correlated Electrons · Physics 2022-12-12 S. Suetsugu , Y. Ukai , M. Shimomura , M. Kamimura , T. Asaba , Y. Kasahara , N. Kurita , H. Tanaka , T. Shibauchi , J. Nasu , Y. Motome , Y. Matsuda

The 5d-electron honeycomb compound H$_3$LiIr$_2$O$_3$ [K. Kitagawa $et$ $al.$, Nature 554, 341-345 (2018)] exhibits an apparent quantum spin liquid (QSL) state. In this intercalated spin-orbital compound, a remarkable pile up of low-energy…

Strongly Correlated Electrons · Physics 2019-02-07 Johannes Knolle , Roderich Moessner , Natalia B. Perkins

Pursuing the exotic quantum spin liquid (QSL) state in the Kitaev material $\alpha$-RuCl$_3$ has intrigued great research interest recently. A fascinating question is on the possible existence of field-induced QSL phase in this compound.…

Strongly Correlated Electrons · Physics 2023-09-14 Xu-Guang Zhou , Han Li , Yasuhiro H. Matsuda , Akira Matsuo , Wei Li , Nobuyuki Kurita , Gang Su , Koichi Kindo , Hidekazu Tanaka

Building on the recent advancements on moir\'e superlattices, we propose an exactly solvable model with Kitaev-type interactions on a bilayer honeycomb lattice for both AA stacking and moir\'e superlattices. Using Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-12-10 Ivan Dutta , Anamitra Mukherjee , Onur Erten , Kush Saha

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

Strongly Correlated Electrons · Physics 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

The Kitaev honeycomb model (KHM) consists of spin-$1/2$ particles on a honeycomb lattice with direction-dependent Ising-like interactions. It can alternatively be described in terms of non-interacting Majorana fermions, can be solved…

Strongly Correlated Electrons · Physics 2025-07-10 Alexander Sattler , Maria Daghofer

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

The suppression of magnetic order and the detection of a half-quantized thermal Hall effect in {\alpha}-RuCl3 under an external magnetic field have sparked significant debate, whether these phenomena point to spin fractionalization, as…

We study the field-induced magnetization processes of extended Heisenberg-Kitaev models on the honeycomb lattice, taking into account off-diagonal and longer-range exchange interactions, using a combination of Monte-Carlo simulations,…

Strongly Correlated Electrons · Physics 2017-09-04 Lukas Janssen , Eric C. Andrade , Matthias Vojta

We report the discovery of a novel gapless quantum spin liquid in the S=1 honeycomb system Cu$_3$LiRu$_2$O$_6$ with Ru$^{4+}$ ($4d^4$) where moments remain dynamic down to 50 mK. Heat capacity measurements show no sign of magnetic ordering…

Kitaev magnets are materials with bond-dependent Ising interactions between localized spins on a honeycomb lattice. Such interactions could lead to a quantum spin-liquid (QSL) ground state at zero temperature. Recent theoretical studies…

The frustrated XY model on the honeycomb lattice has drawn lots of attentions because of the potential emergence of chiral spin liquid (CSL) with the increasing of frustrations or competing interactions. In this work, we study the extended…

Strongly Correlated Electrons · Physics 2021-01-27 Yixuan Huang , Xiao-Yu Dong , D. N. Sheng , C. S. Ting

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,…

We study the nearest neighboring spin-1/2 Kitaev-Heisenberg-Gamma ($KJ\Gamma$) model on the honeycomb lattice in the parameter region of ferromagnetic (FM) Kitaev and antiferromagnetic (AFM) Heisenberg couplings relevant for honeycomb…

Strongly Correlated Electrons · Physics 2022-07-06 Wang Yang , Alberto Nocera , Chao Xu , Hae-Young Kee , Ian Affleck

Kitaev materials are promising materials for hosting quantum spin liquids and investigating the interplay of topological and symmetry-breaking phases. We use an unsupervised and interpretable machine-learning method, the tensorial-kernel…

Strongly Correlated Electrons · Physics 2021-04-06 Ke Liu , Nicolas Sadoune , Nihal Rao , Jonas Greitemann , Lode Pollet
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