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Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We…

Strongly Correlated Electrons · Physics 2015-05-27 Johannes Reuther , Dmitry Abanin , Ronny Thomale

The Kitaev model on a honeycomb lattice predicts a paradigmatic quantum spin liquid (QSL) exhibiting Majorana Fermion excitations. The insight that Kitaev physics might be realized in practice has stimulated investigations of candidate…

We present a modification of exactly solvable spin-(1/2) Kitaev model on the decorated honeycomb lattice, with a ground state of "spin metal" type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state…

Strongly Correlated Electrons · Physics 2013-05-29 K. S. Tikhonov , M. V. Feigel'man

In frustrated Ising magnets, classical spin liquids (CSLs) with macroscopic ground-state degeneracy can survive against conventional magnetic order, as exemplified by systems on triangular, kagome and pyrochlore lattices at zero field. Here…

Unlike conventional magnets where the magnetic moments are partially or completely static in the ground state, in a quantum spin liquid they remain in collective motion down to the lowest temperatures. The importance of this state is that…

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 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

The study of magnetic frustration in classical spin systems was motivated by the prediction and discovery of classical spin liquid states. These uncommon magnetic phases are characterized by a massive degeneracy of their ground state…

Quantum spin liquids are exotic states of matter that may be realized in frustrated quantum magnets and feature fractionalized excitations and emergent gauge fields. Here, we consider a gapless U(1) spin liquid with spinon Fermi pockets in…

Strongly Correlated Electrons · Physics 2021-10-25 Wilhelm G. F. Krüger , Lukas Janssen

Currently under active study in condensed matter physics, both theoretically and experimentally, are quantum spin liquid (QSL) states, in which no long-range magnetic ordering appears at low temperatures due to strong quantum fluctuations…

Strongly Correlated Electrons · Physics 2019-07-04 Ruidan Zhong , Shu Guo , Guangyong Xu , Zhijun Xu , Robert J. Cava

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

Inelastic neutron experiments on the classical triangular-lattice geometrically frustrated antiferromagnet h-YMnO$_3$ reveal diffuse, gapless magnetic excitations present both below and far above the ordering temperature, $T_N$. The…

Frustration in magnetic materials arising from competing exchange interactions can prevent the system from adopting long-range magnetic order and can instead lead to a diverse range of novel quantum and topological states with exotic…

Strongly Correlated Electrons · Physics 2023-11-16 J. Khatua , B. Sana , A. Zorko , M. Gomilšek , K. Sethupathi M. S. Ramachandra Rao , M. Baenitz , B. Schmidt , P. Khuntia

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

Recently several triangular-lattice magnets with delafossite structure have been found to display spin-liquid behavior down to the lowest temperatures. Remarkably, applying a magnetic field destroys the spin liquid which then gives way to…

Strongly Correlated Electrons · Physics 2024-07-09 Santanu Dey , Joseph Maciejko , Matthias Vojta

Hyperhoneycomb iridate $\beta$-Li$_2$IrO$_3$ is a three-dimensional analogue of two-dimensional honeycomb iridates, such as $\alpha$-Li$_2$IrO$_3$, which recently appeared as another playground for the physics of Kitaev-type spin liquid.…

Strongly Correlated Electrons · Physics 2019-03-27 T. Takayama , A. Krajewska , A. S. Gibbs , A. N. Yaresko , H. Ishii , H. Yamaoka , K. Ishii , N. Hiraoka , N. P. Funnell , C. L. Bull , H. Takagi

YbOCl is a representative member of the van der Waals layered honeycomb rare-earth chalcohalide REChX (RE = rare earth, Ch = O, S, Se, and Te, and X = F, Cl, Br, and I) family reported recently. Its spin ground state remains to be explored…

Strongly Correlated Electrons · Physics 2024-09-13 Zheng Zhang , Yanzhen Cai , Jinlong Jiao , Jing Kang , Dehong Yu , Bertrand Roessli , Anmin Zhang , Jianting Ji , Feng Jin , Jie Ma , Qingming Zhang

We synthesized a quasi-two-dimensional distorted triangular lattice antiferromagnet Ca$_3$CoNb$_2$O$_9$, in which the effective spin of Co$^{2+}$ is 1/2 at low temperatures, whose magnetic properties were studied by dc susceptibility and…

Strongly Correlated Electrons · Physics 2015-12-25 J. Dai , P. Zhou , P. S. Wang , F. Pang , T J. Munsie , G. M. Luke , J. S. Zhang , Weiqiang Yu

Skyrmions -- topologically nontrivial magnetic quasi-particles -- can emerge in two-dimensional chiral magnets due to moderate or high strength of the Dzyaloshinskii-Moriya (DM) interaction. In this work, we show that the inclusion of weak…

Strongly Correlated Electrons · Physics 2025-09-24 M. Mohylna , F. A. Gómez Albarracín , M. Žukovič , H. Diego Rosales

PbCuTe$_2$O$_6$ is considered as one of the rare candidate materials for a three-dimensional quantum spin liquid (QSL). This assessment was based on the results of various magnetic experiments, performed mainly on polycrystalline material.…