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The current efforts to find the materials hosting Kitaev model physics have been focused on Mott insulators of d^5 pseudospin-1/2 ions Ir^{4+} and Ru^{3+} with t_{2g}^5(S=1/2, L=1) electronic configuration. Here we propose that the Kitaev…

Strongly Correlated Electrons · Physics 2018-01-11 Huimei Liu , Giniyat Khaliullin

The quantum spin liquid states as a natural ground state of the Kitaev model has led to a quest for new materials candidates hosting Kitaev physics. Yet, there are very few material candidates in this category. Using a combination of $ab$…

Strongly Correlated Electrons · Physics 2023-03-29 Shishir Kumar Pandey , Qiangqiang Gu , Yihao Lin , Rajarshi Tiwari , Ji Feng

The quest for Kitaev quantum spin liquids has led to great interest in honeycomb quantum magnets with strong spin-orbit coupling. It has been recently proposed that even Mott insulators with $3d$ transition metal ions, having nominally weak…

Strongly Correlated Electrons · Physics 2021-11-25 Shreya Das , Sreekar Voleti , Tanusri Saha-Dasgupta , Arun Paramekanti

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

Strongly Correlated Electrons · Physics 2022-12-20 Shishir Kumar Pandey , Ji Feng

Kitaev exchange, a new paradigm in quantum magnetism research, occurs for 90$^{\circ}$ metal-ligand-metal links, $t_{2g}^5$ transition ions, and sizable spin-orbit coupling. It is being studied in honeycomb compounds but also on triangular…

Strongly Correlated Electrons · Physics 2023-10-11 Pritam Bhattacharyya , Nikolay A. Bogdanov , Satoshi Nishimoto , Stephen D. Wilson , Liviu Hozoi

The realization of Kitaev's honeycomb magnetic model in real materials has become one of the most pursued topics in condensed matter physics and materials science. If found, it is expected to host exotic quantum phases of matter and offers…

Strongly Correlated Electrons · Physics 2021-12-08 Chaebin Kim , Heung-Sik Kim , Je-Geun Park

The magnetic anisotropy af a rectangular Cu-O-Cu bond is investigated in second order of the spin-orbit interaction. Such a bond is characteristic for cuprates having edge sharing CuO_2 chains, and exists also in the Cu_3O_4 plane or in…

Strongly Correlated Electrons · Physics 2009-10-31 V. Yu. Yushankhai , R. Hayn

A microscopic magnetic model for alpha-Cu2P2O7 is evaluated in a combined theoretical and experimental study. Despite a dominant intradimer coupling J1, sizable interdimer couplings enforce long-range magnetic ordering at T_N=27 K. The spin…

Strongly Correlated Electrons · Physics 2011-04-05 O. Janson , A. A. Tsirlin , J. Sichelschmidt , Y. Skourski , F. Weickert , H. Rosner

In the search for quantum spin liquids, candidate materials for the Kitaev model and its extensions have been intensively explored during the past decade, as the models realize the exact quantum spin liquids in the ground state. Thus far,…

Strongly Correlated Electrons · Physics 2018-01-22 Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

Rare-earth materials hold promise to realize exotic magnetic states owing to synergy between electron correlations and spin-orbit coupling. Recently, quasi-two-dimensional honeycomb magnets $A_2$PrO$_3$ ($A$ = alkali metals) were predicted…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

Heisenberg interactions are ubiquitous in magnetic materials and have been prevailing in modeling and designing quantum magnets. Bond-directional interactions offer a novel alternative to Heisenberg exchange and provide the building blocks…

Spin-orbit coupling locks spin direction and spatial orientation and generates, in semi-classical magnets, a local spin easy-axis and associated ordering. Quantum spin-1/2's defy this fate: rather than spins becoming locally anisotropic,…

Magnetic insulators in the regime of strong spin-orbit coupling exhibit intriguing behaviors in external magnetic fields, reflecting the frustrated nature of their effective interactions. We review the recent advances in understanding the…

Strongly Correlated Electrons · Physics 2019-07-30 Lukas Janssen , Matthias Vojta

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

A magnet is a collection of magnetic moments. How those interact is determined by what lies in between. In transition-metal and rare-earth magnetic compounds, the configuration of the ligands around each magnetic center and the connectivity…

Strongly Correlated Electrons · Physics 2026-04-21 Pritam Bhattacharyya , Nikolay A. Bogdanov , Liviu Hozoi

The Kitaev model, a honeycomb network of spins with bond-dependent anisotropic interactions, is a rare example of having a quantum spin liquid ground state. Although most Kitaev model candidate materials eventually order magnetically due to…

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

An investigation of the spin excitation spectrum of charge ordered (CO) NaV2O5 is presented. We discuss several different exchange models which may be relevant for this compound, namely in- line and zig-zag chain models with weak as well as…

Strongly Correlated Electrons · Physics 2015-06-25 P. Thalmeier , A. N. Yaresko

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

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
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