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Spin-orbit coupled honeycomb magnets with the Kitaev interaction have received a lot of attention due to their potential of hosting exotic quantum states including quantum spin liquids. Thus far, the most studied Kitaev systems are…

The identification of quantum spin liquid phases in Kitaev candidate materials remains a major experimental challenge. Since most Kitaev candidates develop antiferromagnetic (AFM) order at low temperatures, currently there are great…

Quantum spin liquids (QSLs) host a variety of fractionalized particles. In Kitaev's paradigmatic honeycomb model a spin-$\tfrac{1}{2}$ fractionalizes into $Z_2$ flux due to emergent $Z_2$ gauge field and matter Majorana fermions. Although…

Strongly Correlated Electrons · Physics 2026-01-22 Shi Feng , Nandini Trivedi

Spin systems with honeycomb structures have recently attracted a great deal of attention in connection with the Kitaev quantum spin liquid state (QSL) predicted theoretically. One possible Kitaev QSL candidate is Na$_2$Co$_2$TeO$_6$…

Strongly Correlated Electrons · Physics 2023-12-11 A. K. Bera , S. M. Yusuf , F. Orlandi , P. Manuel , L. Bhaskaran , S. A. Zvyagin

We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group (DMRG) calculation. With the time reversal symmetry breaking due to the magnetic…

Strongly Correlated Electrons · Physics 2020-09-23 Zheng Zhu , Zheng-Yu Weng , D. N. Sheng

We have investigated the magnetic properties and mapped out the phase diagram of the honeycomb magnet Na2Co2TeO6 with Co 3d7 in out-of-plane magnetic fields. This material has previously been proposed to show nearest-neighbor Kitaev…

Strongly Correlated Electrons · Physics 2024-06-03 Shengzhi Zhang , Sangyun Lee , Eric Brosha , Qing Huang , Haidong Zhou , Vivien S. Zapf , Minseong Lee

A decade ago, Alexei Kitaev proposed an exactly solvable $S$ = 1/2 model on a two-dimensional honeycomb lattice, where the spins fractionalize into Majorana fermions and form a topological quantum spin liquid (QSL) in the ground state. It…

Strongly Correlated Electrons · Physics 2022-01-21 Hidenori Takagi , Tomohiro Takayama , George Jackeli , Giniyat Khaliullin , Stephen E. Nagler

Magnetic moments arranged at the corners of a honeycomb lattice are predicted to form a novel state of matter, Kitaev quantum spin liquid, under the influence of frustration effects between bond-dependent Ising interactions. Some layered…

Strongly Correlated Electrons · Physics 2022-03-09 Sean K. Takahashi , Jiaming Wang , Alexandre Arsenault , Mykola Abramchuk , Fazel Tafti , Philip M. Singer , Takashi Imai

The realization of quantum spin liquids (QSLs) in Kitaev magnets represents an intriguing topic in frustrated quantum magnetism. Despite prediction in the pure Kitaev honeycomb model, realization of QSLs in realistic systems and materials…

Strongly Correlated Electrons · Physics 2025-09-11 Han Li , Xu-Guang Zhou , Gang Su , Wei Li

We study the exchange interactions and resulting magnetic phases in the honeycomb cobaltates. For a broad range of trigonal crystal fields acting on Co2+ ions, the low-energy pseudospin-1/2 Hamiltonian is dominated by bond-dependent Ising…

Strongly Correlated Electrons · Physics 2020-07-23 Huimei Liu , Jiri Chaloupka , Giniyat Khaliullin

The honeycomb magnet Na$_3$Co$_2$SbO$_6$ recently emerged as a promising candidate for realizing Kitaev quantum spin liquid with relatively low levels of structural disorder. While the precise spin Hamiltonian remains controversial, the…

Strongly Correlated Electrons · Physics 2025-07-16 Rongsheng Li , Liyu Shi , Yuchen Gu , Yue Chen , Xintong Li , Qiong Wu , Shuxiang Xu , Dong Wu , Yuan Li , Fa Wang , Tao Dong , Nanlin Wang

Kitaev interactions, arising from the interplay of frustration and bond anisotropy, can lead to strong quantum fluctuations and, in an ideal case, to a quantum-spin-liquid state. However, in many nonideal materials, spurious non-Kitaev…

The layered honeycomb iridate $\alpha$-Li$_2$IrO$_3$ displays an incommensurate magnetic structure with counterrotating moments on nearest-neighbor sites, proposed to be stabilized by strongly-frustrated anisotropic Kitaev interactions…

Strongly Correlated Electrons · Physics 2019-03-06 Sungkyun Choi , S. Manni , J. Singleton , C. V. Topping , T. Lancaster , S. J. Blundell , D. T. Adroja , V. Zapf , P. Gegenwart , R. Coldea

Quantum spin liquid is a disordered magnetic state with fractional spin excitations. Its clearest example is found in an exactly solved Kitaev honeycomb model where a spin flip fractionalizes into two types of anyons, quasiparticles that…

Strongly Correlated Electrons · Physics 2018-05-10 N. Janša , A. Zorko , M. Gomilšek , M. Pregelj , K. W. Krämer , D. Biner , A. Biffin , Ch. Rüegg , M. Klanjšek

Using optical magneto-spectroscopy, we investigate the magnetic excitations of Na$_2$Co$_2$TeO$_6$ in a broad magnetic field range ($0\ \rm{T}\leq B\leq 17.5\ \rm{T}$) at low temperature. Our measurements reveal rich spectra of in-plane…

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

The honeycomb Kitaev model describes a $Z_2$ spin liquid with topological order and fractionalized excitations consisting of gapped $\pi$-fluxes and free Majorana fermions. Competing interactions, even when not very strong, are known to…

Strongly Correlated Electrons · Physics 2025-01-14 Jagannath Das , Sarbajaya Kundu , Aman Kumar , Vikram Tripathi

Honeycomb iridates are thought to have strongly spin-anisotropic exchange interactions that could lead to an extraordinary state of matter known as the Kitaev quantum spin liquid. The realization of this state requires almost perfectly…

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

Nearly two decades ago, Alexei Kitaev proposed a model for spin-$1/2$ particles with bond-directional interactions on a two-dimensional honeycomb lattice which had the potential to host a quantum spin-liquid ground state. This work…

Materials Science · Physics 2022-01-19 Faranak Bahrami , Mykola Abramchuk , Oleg I. Lebedev , Fazel Tafti
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