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Related papers: Microscopic mechanism for higher-spin Kitaev model

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Metastable states with surprising properties abound in Hilbert space. We study unfrustrated isotropic spin-\half Heisenberg models in honeycomb lattice and find emergence of \textit{metastable Kitaev spin liquids having a 2-spin nematic…

Strongly Correlated Electrons · Physics 2023-09-14 Ganapathy Baskaran

We study a spin model on honeycomb lattice with two types of Heisenberg exchange couplings, $J$ and $\tilde J$, where $J$ is for the conventional spin and and $\tilde J$ for rotated spin. When $\tilde J=0$, this is the conventional…

Strongly Correlated Electrons · Physics 2015-06-04 Yue Yu , Long Liang , Qian Niu , Shaojing Qin

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

We explore the phase diagram of the Kitaev-Heisenberg model with nearest neighbor interactions on the honeycomb lattice using the exact diagonalization of finite systems combined with the cluster mean field approximation, and supplemented…

Strongly Correlated Electrons · Physics 2017-02-01 Dorota Gotfryd , Juraj Rusnačko , Krzysztof Wohlfeld , George Jackeli , Jiří Chaloupka , Andrzej M. Oleś

The spin liquid phase is one of the prominent strongly interacting topological phases of matter whose unambiguous confirmation is yet to be reached despite intensive experimental efforts on numerous candidate materials. Recently, a new…

Strongly Correlated Electrons · Physics 2018-05-10 Andrei Catuneanu , Youhei Yamaji , Gideon Wachtel , Yong Baek Kim , Hae-Young Kee

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

Strongly Correlated Electrons · Physics 2018-10-03 Urban F. P. Seifert , Julian Gritsch , Erik Wagner , Darshan G. Joshi , Wolfram Brenig , Matthias Vojta , Kai P. Schmidt

We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a two-dimensional honeycomb lattice numerically by density matrix renormalization group method. By tuning the relative value of the Kitaev and Heisenberg exchange…

Strongly Correlated Electrons · Physics 2020-09-16 Xiao-Yu Dong , D. N. Sheng

We investigate the emergence of bond-directional spin-spin interactions in a synthetic Fermi-Hubbard bilayer that can be realized with ultracold fermions in Raman optical lattices. The model exploits synthetic dimensions to couple two…

Quantum Gases · Physics 2025-11-19 Daniel González-Cuadra , Alejandro Bermudez

We combine tensor-network approaches and high-order linked-cluster expansions to investigate the quantum phase diagram of the antiferromagnetic Kitaev's honeycomb model in a magnetic field for general spin values. For the pure Kitaev model,…

Strongly Correlated Electrons · Physics 2024-10-08 Saeed S. Jahromi , Max Hörmann , Patrick Adelhardt , Sebastian Fey , Hooman Karamnejad , Roman Orus , Kai Phillip Schmidt

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,…

In addition to the Kitaev ($K$) interaction, candidate Kitaev materials also possess Heisenberg ($J$) and off-diagonal symmetric ($\Gamma$) couplings. We investigate the quantum ($S = 1/2$) $K$-$J$-$\Gamma$ model on the honeycomb lattice by…

Strongly Correlated Electrons · Physics 2019-11-14 Jiucai Wang , B. Normand , Zheng-Xin Liu

The search for Kitaev spin liquid states has recently broadened to include a number of honeycomb materials with integer spin moments. The qualitative difference with their spin-1/2 counterparts is the presence of single-ion anisotropy…

Strongly Correlated Electrons · Physics 2023-11-27 Ayushi Singhania , Jeroen van den Brink , Satoshi Nishimoto

Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

Strongly Correlated Electrons · Physics 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

The exactly solvable Kitaev model on the honeycomb lattice has recently received enormous attention linked to the hope of achieving novel spin-liquid states with fractionalized Majorana-like excitations. In this review, we analyze the…

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

Quantum spin liquid involves fractionalized quasipariticles such as spinons and visons. They are expressed as itinerant Majorana fermions and $Z_2$ fluxes in the Kitaev model with bond-dependent exchange interactions on a honeycomb spin…

Strongly Correlated Electrons · Physics 2020-02-05 Y. Nagai , T. Jinno , Y. Yoshitake , J. Nasu , Y. Motome , M. Itoh , Y. Shimizu

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 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

Quantum spin liquids, a highly topologically entangled, dynamically correlated state where quantum fluctuations preclude any long-range ordering down to absolute zero. In the search for a topologically robust qubit, the scientific community…

Strongly Correlated Electrons · Physics 2026-02-11 Vivek Kumar , Pradeep Kumar

We study the thermodynamic properties of modified spin-$S$ Kitaev models introduced by Baskaran, Sen and Shankar (Phys. Rev. B 78, 115116 (2008)). These models have the property that for half-odd-integer spins their eigenstates map on to…

Strongly Correlated Electrons · Physics 2021-02-09 Owen Bradley , Jaan Oitmaa , Diptiman Sen , Rajiv R. P. Singh