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Recently, realizations of Kitaev physics have been sought in the A2IrO3 family of honeycomb iridates, originating from oxygen-mediated exchange through edge-shared octahedra. However, for the j = 1/2 Mott insulator in these materials…

Strongly Correlated Electrons · Physics 2014-03-18 Jeffrey G. Rau , Eric Kin-Ho Lee , Hae-Young Kee

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long sought example is the resonating-valence-bond (RVB) state, where atomic magnetic moments are…

Strongly Correlated Electrons · Physics 2013-07-19 Tian-Heng Han , Joel S. Helton , Shaoyan Chu , Daniel G. Nocera , Jose A. Rodriguez-Rivera , Collin Broholm , Young S. Lee

The 5d-electron honeycomb compound H$_3$LiIr$_2$O$_3$ [K. Kitagawa $et$ $al.$, Nature 554, 341-345 (2018)] exhibits an apparent quantum spin liquid (QSL) state. In this intercalated spin-orbital compound, a remarkable pile up of low-energy…

Strongly Correlated Electrons · Physics 2019-02-07 Johannes Knolle , Roderich Moessner , Natalia B. Perkins

As a candidate Kitaev material, Na$_2$Co$_2$TeO$_6$ exhibits intriguing magnetism on a honeycomb lattice that is believed to be $C_3$-symmetric. Here we report a neutron diffraction study of high quality single crystals under $a$-axis…

Strongly Correlated Electrons · Physics 2023-06-06 Weiliang Yao , Yang Zhao , Yiming Qiu , Christian Balz , J. Ross Stewart , Jeffrey W. Lynn , Yuan Li

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

Strongly Correlated Electrons · Physics 2026-01-29 A. R. Moura , L. V. Santos

Spin systems with frustrated anisotropic interactions are of significant interest due to possible exotic ground states. We have explored their phase diagram on a nearest-neighbor triangular lattice using the density-matrix renormalization…

Strongly Correlated Electrons · Physics 2018-05-17 Zhenyue Zhu , P. A. Maksimov , Steven R. White , A. L. Chernyshev

The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model. By analyzing the energy spectrum and entanglement entropy, for antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-05-08 David C. Ronquillo , Adu Vengal , Nandini Trivedi

In RuCl$_3$, inelastic neutron scattering and Raman spectroscopy reveal a continuum of non-spin-wave excitations that persists to high temperature, suggesting the presence of a spin liquid state on a honeycomb lattice. In the context of the…

Linear spin wave theory shows that ring exchange induces a quantum disordered region in the phase diagram of the title model. Spin wave spectra show that this is a direct manifestation of competing classical orders. A spin liquid is found…

Strongly Correlated Electrons · Physics 2015-06-16 Michael Holt , Ben J. Powell , Jaime Merino

The interplay of electronic interactions and frustration in crystalline systems leads to a panoply of correlated phases, including exotic Mott insulators with non-trivial patterns of entanglement. Disorder introduces additional quantum…

Strongly Correlated Electrons · Physics 2025-01-03 Sunghoon Kim , Mohammad Saad , Dan Mao , Adhip Agarwala , Debanjan Chowdhury

The ground state of the Kitaev quantum spin liquid on a honeycomb lattice is an intriguing many-body state characterized by its topological order and massive entanglement. One of the significant issues is to prepare and manipulate the…

Strongly Correlated Electrons · Physics 2025-12-05 Seongjun Park , Eun-Gook Moon

We use the constrained random phase approximation (cRPA) to derive from first principles the Ru-$t_{2g}$ Wannier function based model for the Kitaev spin-liquid candidate material $\alpha$-RuCl$_3$. We find the non-local Coulomb repulsion…

Strongly Correlated Electrons · Physics 2019-09-09 Casey Eichstaedt , Yi Zhang , Pontus Laurell , Satoshi Okamoto , Adolfo G. Eguiluz , Tom Berlijn

Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations,…

Strongly Correlated Electrons · Physics 2025-08-25 Patrick M. Lenggenhager , Santanu Dey , Tomáš Bzdušek , Joseph Maciejko

The Kitaev spin liquid, stabilized as the ground state of the Kitaev honeycomb model, is a paradigmatic example of a topological $\mathbb{Z}_2$ quantum spin liquid. The fate of the Kitaev spin liquid in presence of an external magnetic…

Strongly Correlated Electrons · Physics 2026-05-04 Will Holdhusen , Daniel Huerga , Gerardo Ortiz

We present a quantu spin liquid state in a spin-1/2 honeycomb lattice with randomness in the exchange interaction. That is, we successfully introduce randomness into the organic radial-based complex and realize a random-singlet (RS) state.…

Strongly Correlated Electrons · Physics 2017-09-26 H. Yamaguchi , M. Okada , Y. Kono , S. Kittaka , T. Sakakibara , T. Okabe , Y. Iwasaki , Y. Hosokoshi

In the search for realizations of Quantum Spin Liquids (QSL), it is essential to understand the interplay between inherent disorder and the correlated fluctuating spin ground state. H$_3$LiIr$_2$O$_6$ is regarded as a spin liquid proximate…

Strongly Correlated Electrons · Physics 2024-07-11 A. de la Torre , B. Zager , F. Bahrami , M. H. Upton , J. Kim , G. Fabbris , G. -H. Lee , W. Yang , D. Haskel , F. Tafti , K. W. Plumb

Stabilizing exotic quantum phases of matter, e.g. spin liquid, is an attractive topic in condensed matter. Here, by a Monte Carlo study of a two-orbital spin-fermion model on a honeycomb lattice, we show the cooperative effects of the…

Strongly Correlated Electrons · Physics 2025-01-13 Kaidi Xu , Shan-Shan Wang , Rong Yu , Shuai Dong

Quantum spin liquids, exotic phases of matter with topological order, have been a major focus of explorations in physical science for the past several decades. Such phases feature long-range quantum entanglement that can potentially be…

We study an exactly solvable model with bond-directional quadrupolar and octupolar interactions between spin-orbital entangled $j_{\mathrm{eff}} = \frac{3}{2}$ moments on the honeycomb lattice. We show that this model features a multipolar…

Strongly Correlated Electrons · Physics 2023-10-17 Vanuildo S. de Carvalho , Hermann Freire , Rodrigo G. Pereira

An external magnetic field can induce a transition in $\alpha$-RuCl$_3$ from an ordered zigzag state to a disordered state that is possibly related to the Kitaev quantum spin liquid. Here we present new field dependent inelastic neutron…

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