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Kitaev's honeycomb model is a paradigmatic exactly solvable system hosting a quantum spin liquid with non-Abelian anyons and topologically protected edge modes, offering a platform for fault-tolerant quantum computation. However, real…

Recent experimental studies of the spin-1 honeycomb antiferromagnet Na$_3$Ni$_2$BiO$_6$ have revealed a pronounced one-third magnetization plateau under applied magnetic fields, highlighting the presence of strong magnetic frustration and…

Strongly Correlated Electrons · Physics 2026-02-05 Amanda A. Konieczna , P. Peter Stavropoulos , Roser Valentí

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

Mott insulators with strong spin-orbit coupling have been proposed to host unconventional magnetic states, including the Kitaev quantum spin liquid. The 4$d$ system $\alpha$-RuCl$_3$ has recently come into view as a candidate Kitaev system,…

Building upon the spin-1/2 Kitaev model on a honeycomb lattice, the Yao-Lee spin-orbital model provides exactly solvable quantum spin liquids with potentially better stability against perturbations due to the additional degree of freedom.…

Strongly Correlated Electrons · Physics 2026-05-21 Jiefu Cen , Hae-Young Kee

The quantum dimer magnet (QDM) is the canonical example of quantum magnetism. The QDM state consists of entangled nearest-neighbor spin dimers and often exhibits a field-induced triplon Bose-Einstein condensate (BEC) phase. We report on a…

Strongly Correlated Electrons · Physics 2019-07-11 Gavin Hester , H. S. Nair , T. Reeder , D. R. Yahne , T. N. DeLazzer , L. Berges , D. Ziat , J. R. Neilson , A. A. Aczel , G. Sala , J. A. Quilliam , K. A. Ross

The honeycomb magnet Na$_2$Co$_2$TeO$_6$ has recently been argued to realize an approximate hidden SU(2) symmetry that can be understood by means of a duality transformation. Using large-scale classical Monte Carlo simulations, we study the…

Strongly Correlated Electrons · Physics 2024-02-12 Niccolò Francini , Lukas Janssen

The exactly solvable Kitaev honeycomb lattice model is realized as the low energy effect Hamiltonian of a spin-1/2 model with spin rotation and time-reversal symmetry. The mapping to low energy effective Hamiltonian is exact, without…

Strongly Correlated Electrons · Physics 2010-05-20 Fa Wang

The physics of spin-orbit entangled magnetic moments of $4d$ and $5d$ transition metal ions on a honeycomb lattice has been much explored in search for unconventional magnetic orders or quantum spin liquids expected for compass spin models,…

Strongly Correlated Electrons · Physics 2024-10-15 Ryutaro Okuma , Kylie MacFarquharson , Roger D. Johnson , David Voneshen , Pascal Manuel , Radu Coldea

Recent theoretical studies have suggested that the low-energy Hamiltonian of honeycomb cobaltate systems could be dominated by anisotropic Kitaev interactions. Motivated by the theory, a honeycomb layered material Na$_{2}$Co$_{2}$TeO$_{6}$…

Strongly Correlated Electrons · Physics 2023-08-14 Emilie Dufault , Faranak Bahrami , Alenna Streeter , Xiaohan Yao , Enrique Gonzalez , Qiang Zhang , Fazel Tafti

Kitaev quantum spin liquid, massively quantum entangled states, is so scarce in nature that searching for new candidate systems remains a great challenge. Honeycomb heterostructure could be a promising route to realize and utilize such an…

Two-dimensional coherent terahertz spectroscopy (2DCS) emerges as a valuable tool to probe the nature, couplings, and lifetimes of excitations in quantum materials. It thus promises to identify unique signatures of spin liquid states in…

Strongly Correlated Electrons · Physics 2024-10-22 Yihua Qiang , Victor L. Quito , Thaís V. Trevisan , Peter P. Orth

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

We study the ordered moment direction in the extended Kitaev-Heisenberg model relevant to honeycomb lattice magnets with strong spin-orbit coupling. We utilize numerical diagonalization and analyze the exact cluster groundstates using a…

Strongly Correlated Electrons · Physics 2016-09-01 Jiří Chaloupka , Giniyat Khaliullin

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…

Motivated by recent reports of a quantum disordered ground state in the triangular lattice compound NaRuO$_2$, we derive a $j_{\rm eff}=1/2$ magnetic model for this system by means of first-principles calculations. The pseudospin…

Two-dimensional honeycomb lattices, characterized by their low coordination numbers, provide a fertile platform for exploring various quantum phenomena due to the intricate interplay between competing magnetic interactions, spin-orbit…

Strongly Correlated Electrons · Physics 2025-12-15 J. Khatua , Suheon Lee , M. Pregelj , Samiul Sk , S. K. Panda , Bassam Hitti , Gerald D. Morris , I. da Silva , Kwang-Yong Choi , P. Khuntia

We report a rich anisotropic magnetic phase diagram of Na$_3$Co$_2$SbO$_6$, a previously proposed cobaltate Kitaev candidate, based on field- and temperature-dependent magnetization, specific heat, and magnetocaloric effect studies. At low…

In $\alpha$-RuCl$_3$, an external magnetic field applied within the honeycomb plane can induce a transition from a magnetically ordered state to a disordered state that is potentially related to the Kitaev quantum spin liquid. In zero…

The pure Kitaev honeycomb model harbors a quantum spin liquid in zero magnetic fields, while applying finite magnetic fields induces a topological spin liquid with non-Abelian anyonic excitations. This latter phase has been much sought…

Strongly Correlated Electrons · Physics 2020-03-31 Dirk Wulferding , Youngsu Choi , Seung-Hwan Do , Chan Hyeon Lee , Peter Lemmens , Clement Faugeras , Yann Gallais , Kwang-Yong Choi