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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

The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a centre of attraction, since a microscopic theory to realize such an interaction in solid-state materials was discovered. A challenge…

Strongly Correlated Electrons · Physics 2022-05-20 Jiefu Cen , Hae-Young Kee

Materials manifesting the Kitaev model, characterized by bond-dependent interactions on a honeycomb lattice, can host exotic phenomena like quantum spin liquid states and topological magnetic excitations. However, finding such materials…

Strongly Correlated Electrons · Physics 2024-12-31 Yiqing Gu , Yimeng Gu , Feiyang Liu , Seiko Ohira-Kawamura , Naoki Murai , Jun Zhao

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,…

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…

The Kitaev interaction in a honeycomb lattice with higher-spin $S$ has been one of the central attractions, as it may offer quantum spin liquids. A microscopic theory showed that when the Hund's coupling at the transition metal generates…

Strongly Correlated Electrons · Physics 2024-01-23 Jiefu Cen , Hae-Young Kee

A range of honeycomb-lattice compounds has been proposed and investigated in the search for a topological Kitaev spin liquid. However, sizable Heisenberg interactions and additional symmetry-allowed exchange anisotropies in the magnetic…

Strongly Correlated Electrons · Physics 2018-10-18 Ravi Yadav , Stephan Rachel , Liviu Hozoi , Jeroen van den Brink , George Jackeli

Honeycomb lattice Kitaev magnets exhibit exotic magnetic properties governed by the Kitaev interaction. This study delves into $\alpha$-RuCl$_3$, a prototypical example described by effective Hamiltonians encompassing bond-dependent Kitaev…

Strongly Correlated Electrons · Physics 2025-05-29 Hamid Mosadeq , Mohammad-Hossein Zare

We study the rare-earth magnets on a honeycomb lattice, and are particularly interested in the experimental consequences of the highly anisotropic spin interaction due to the spin-orbit entanglement. We perform a high-temperature series…

Strongly Correlated Electrons · Physics 2020-10-06 Zhu-Xi Luo , Gang Chen

Co$^{2+}$ ions in an octahedral crystal field, stabilise a j$_{eff}$ = 1/2 ground state with an orbital degree of freedom and have been recently put forward for realising Kitaev interactions, a prediction we have tested by investigating…

Compounds of transition metal ions with strong spin-orbit coupling recently attracted attention due to the possibility to host frustrated bond-dependent anisotropic magnetic interactions. In general, such interactions lead to complex phase…

Strongly Correlated Electrons · Physics 2019-02-21 Juraj Rusnačko , Dorota Gotfryd , Jiří Chaloupka

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

Bond-dependent magnetic interactions, particularly those described by the Kitaev model, have emerged as a key pathway toward realizing unconventional magnetic states such as quantum spin liquids and topologically nontrivial excitations,…

Spin liquid crystals are magnetic analogs of liquid crystals, possessing properties of both liquids and solids, a typical example of which are spin nematics. Spin nematics share many features with spin liquids, and the interplay between…

Strongly Correlated Electrons · Physics 2023-04-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

We show that interactions in quantum spin liquids can result in non-Hermitian phenomenology that differs qualitatively from mean-field expectations. We demonstrate this in two prominent cases through the effects of phonons and disorder on a…

Strongly Correlated Electrons · Physics 2022-11-16 Kang Yang , Daniel Varjas , Emil J. Bergholtz , Sid Morampudi , Frank Wilczek

We show that ultracold polar molecules pinned in an optical lattice can be used to access a variety of exotic spin models, including the Kitaev honeycomb model. Treating each molecule as a rigid rotor, we use DC electric and microwave…

Quantum Gases · Physics 2015-06-12 Alexey V. Gorshkov , Kaden R. A. Hazzard , Ana Maria Rey

We address the following important question: how to distinguish Kitaev models experimentally realized on small lattices from other non-topological interacting spin models. Based on symmetry arguments and exact diagonalization, we show that…

Strongly Correlated Electrons · Physics 2010-07-20 Han-Dong Chen , B. Wang , S. Das Sarma

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

Despite the exciting implications of the Kitaev spin-Hamiltonian, finding and confirming the quantum spin liquid state has proven incredibly difficult. Recently the applicability of the model has been expanded through the development of a…

Strongly Correlated Electrons · Physics 2022-09-23 K. M. Taddei , V. O. Garlea , A. M. Samarakoon , L. D. Sanjeewa , J. Xing , T. W. Heitmann , C. dela Cruz , A. S. Sefat , D. Parker

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
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