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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,…

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 S=3/2 Kitaev honeycomb model (KHM) is a quantum spin liquid (QSL) state coupled to a static Z$_2$ gauge field. Employing an SO(6) Majorana representation of spin 3/2's, we find an exact representation of the conserved plaquette fluxes…

Strongly Correlated Electrons · Physics 2022-07-07 Hui-Ke Jin , W. M. H. Natori , F. Pollmann , J. Knolle

Due to the combination of a substantial spin-orbit coupling and correlation effects, iridium oxides hold a prominent place in the search for novel quantum states of matter, including, e.g., Kitaev spin liquids and topological Weyl states.…

Strongly Correlated Electrons · Physics 2017-07-11 Vamshi M. Katukuri , Ravi Yadav , Liviu Hozoi , Satoshi Nishimoto , Jeroen van den Brink

Very recently, a 3$d$ based honeycomb cobaltate Na$_2$Co$_2$TeO$_6$ has garnered tremendous attention due to the proposed proximity to the Kitaev spin-liquid state as its 4$d$/5$d$ counterparts. Here, we use Zn to substitute Co in a broad…

Very recently a quantum liquid was reported to form in H$_3$LiIr$_2$O$_6$, an iridate proposed to be a close realization of the Kitaev honeycomb model. To test this assertion we perform detailed quantum chemistry calculations to determine…

Strongly Correlated Electrons · Physics 2018-11-13 Ravi Yadav , Rajyavardhan Ray , Mohamed S. Eldeeb , Satoshi Nishimoto , Liviu Hozoi , Jeroen van den Brink

Motivated by experiments on spin-orbit coupled magnets with Kitaev exchange in magnetic fields, we present an analysis of the classical Kitaev honeycomb model in the presence of a magnetic field. We show that there is a spin liquid regime…

Strongly Correlated Electrons · Physics 2026-03-12 Paul A. McClarty , Roderich Moessner , Karlo Penc , Jeffrey G. Rau

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

It is now well established that the Kitaev honeycomb model in a magnetic field along the $[111]$-direction harbors an intermediate gapless quantum spin liquid (QSL) phase sandwiched between a gapped non-abelian QSL at low fields $H< H_{c1}$…

Strongly Correlated Electrons · Physics 2020-05-13 Subhasree Pradhan , Niravkumar D. Patel , Nandini Trivedi

Candidate materials for Kitaev spin liquid phase have been intensively studied recently because of their potential applications in fault-tolerant quantum computing. Although most of the studies on Kitaev spin liquid have been done in 4$d$…

Strongly Correlated Electrons · Physics 2022-12-02 Subhasis Samanta , Panyalak Detrattanawichai , Sutassana Na-Phattalung , Heung-Sik Kim

The Kitaev model, characterized by bond-dependent Ising spin interactions among spin-orbit entangled dipole moments in Mott insulators, offered a new approach to quantum spin liquids. Motivated by another type of bond-dependent interaction…

Strongly Correlated Electrons · Physics 2023-03-08 Ahmed Rayyan , Derek Churchill , Hae-Young Kee

Due to the dominant Kitaev exchange interactions, the cobaltate, Na$_{3}$Co$_{2}$SbO$_{6}$, has been considered to be approximate to the Kitaev quantum spin liquid (QSL). Here, we investigate both magnetic dilution and chemical pressure…

Strongly Correlated Electrons · Physics 2025-05-14 Jinou Dong , Xueqin Zhao , Lingfeng Xie , Xun Pan , Haoyuan Tang , Zhicheng Xu , Guoxiang Zhi , Chao Cao , Xiaoqun Wang , Fanlong Ning

Recent advances in the study of cobaltites have unveiled their potential as a promising platform for realizing Kitaev physics in honeycomb systems and the Ising model in weakly coupled chain materials. In this manuscript, we explore the…

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

H3LiIr2O6 is the first honeycomb-lattice system without any signs of long-range magnetic order down to the lowest temperatures, raising the hope for the realization of an ideal Kitaev quantum spin liquid. Its honeycomb layers are coupled by…

Strongly Correlated Electrons · Physics 2020-05-13 K. Geirhos , P. Lunkenheimer , M. Blankenhorn , R. Claus , Y. Matsumoto , K. Kitagawa , T. Takayama , H. Takagi , I. Kézsmárki , A. Loidl

Two-dimensional honeycomb antiferromagnet becomes an important class of materials as it can provide a route to Kitaev quantum spin liquid, characterized by massive quantum entanglement and fractional excitations. The signatures of its…

The 3$d^7$ Co$^{2+}$-based insulating magnet \NCTO{} has recently been reported to have strong Kitaev interactions on a honeycomb lattice, and is thus being considered as a Kitaev quantum spin liquid candidate. However, due to the existence…

The Kitaev honeycomb model has been suggested as a useful starting point to describe the honeycomb iridates. However, the zigzag ordering seen in Na2IrO3 and the magnetic transition in Li2IrO3 have raised questions to their connection to…

Strongly Correlated Electrons · Physics 2014-08-22 Jeffrey G. Rau , Hae-Young Kee

In the field of quantum magnetism, the exactly solvable Kitaev honeycomb model serves as a paradigm for the fractionalization of spin degrees of freedom and the formation of $\mathbb{Z}_2$ quantum spin liquids. An intense experimental…

Strongly Correlated Electrons · Physics 2019-02-07 Ciarán Hickey , Simon Trebst

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