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Topologically ordered states of matter are generically characterized by excitations with quantum number fractionalization. A prime example is the spin liquid realized in Kitaev's honeycomb-lattice compass model where spin-flip excitations…

Strongly Correlated Electrons · Physics 2018-11-12 C. Wellm , J. Zeisner , A. Alfonsov , A. U. B. Wolter , M. Roslova , A. Isaeva , T. Doert , M. Vojta , B. Büchner , V. Kataev

The honeycomb magnet $\alpha$-RuCl$_{3}$ has been a leading candidate for realizing the Kitaev quantum spin liquid (QSL), but its intrinsic spin dynamics have remained obscured by crystal twinning. Here we apply biaxial anisotropic strain…

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

Quantum spin liquid (QSL) is an exotic quantum phase of matter whose ground state is quantum-mechanically entangled without any magnetic ordering. A central issue concerns emergent excitations that characterize QSLs, which are…

Strongly Correlated Electrons · Physics 2018-05-08 Y. Tokiwa , T. Yamashita , D. Terazawa , K. Kimura , Y. Kasahara , T. Onishi , Y. Kato , M. Halim , P. Gegenwart , T. Shibauchi , S. Nakatsuji , E. -G. Moon , Y. Matsuda

While a quantum spin liquid (QSL) phase has been identified in the $J_1$-$J_2$ Heisenberg model on a triangular lattice via numerical calculations, debate persists about whether or not such a QSL is gapped or gapless, with contradictory…

Strongly Correlated Electrons · Physics 2022-08-25 Ta Tang , Brian Moritz , Thomas P. Devereaux

Quantum spin liquids (QSLs) represent a novel state where spins are highly entangled but do not order even at zero temperature due to strong quantum fluctuations. Such a state is mostly studied in Heisenberg models defined on geometrically…

$\alpha$-RuCl$_3$ is a promising candidate material for the Kitaev spin liquid state where the half quantization of the thermal Hall effect, suggesting a topological character, has been observed. However, its relation to the existence of…

Strongly Correlated Electrons · Physics 2022-05-24 Daichi Takikawa , Masahiko G. Yamada , Satoshi Fujimoto

The spin-orbit assisted Mott insulator $\alpha$-RuCl3 is proximate to the coveted quantum spin liquid (QSL) predicted by the Kitaev model. In the search for the pure Kitaev QSL, reducing the dimensionality of this frustrated magnet by…

The quasi two-dimensional Mott insulator $\alpha$-RuCl$_3$ is proximate to the sought-after Kitaev quantum spin liquid (QSL). In a layer of $\alpha$-RuCl$_3$ on graphene the dominant Kitaev exchange is further enhanced by strain. Recently,…

Strongly Correlated Electrons · Physics 2021-03-24 V. Leeb , K. Polyudov , S. Mashhadi , S. Biswas , Roser Valenti , M. Burghard , J. Knolle

Recent studies have brought $\alpha$-RuCl$_3$ to the forefront of experimental searches for materials realizing Kitaev spin-liquid physics. This material exhibits strongly anisotropic exchange interactions afforded by the spin-orbit…

Strongly Correlated Electrons · Physics 2018-02-21 Stephen M. Winter , Kira Riedl , David Kaib , Radu Coldea , Roser Valenti

The combination of electronic correlation and spin-orbit coupling is thought to precipitate a variety of highly unusual electronic phases in solids, including topological and quantum spin liquid states. We report a Raman scattering study…

Strongly Correlated Electrons · Physics 2015-04-22 Luke J. Sandilands , Yao Tian , Kemp W. Plumb , Young-June Kim , Kenneth S. Burch

Excitation by light pulses enables the manipulation of phases of quantum condensed matter. Here, we photoexcite high-energy holon-doublon pairs as a way to alter the magnetic free energy landscape of the Kitaev-Heisenberg magnet…

We develop a gauge-invariant renormalized mean-field theory (RMFT) to reliably find the quantum spin liquid (QSL) states and their field response for realistic Kitaev materials under strong magnetic fields and described by the generalized…

Strongly Correlated Electrons · Physics 2026-01-06 Po-Hao Chou , Chung-Yu Mou , Chung-Hou Chung , Sungkit Yip

Quantum spin liquids (QSLs) are long-range entangled phases of frustrated magnets exhibiting fractionalized spin excitations. In two dimensions, there is limited analytical understanding of their excitation spectra beyond parton mean-field…

Strongly Correlated Electrons · Physics 2025-08-01 Josef Willsher , Johannes Knolle

A quantum spin liquid (QSL) is a state of matter where unpaired electrons' spins in a solid are quantum entangled, but do not show magnetic order in the zero-temperature limit. Because such a state may be important to the microscopic origin…

Quantum spin liquid (QSL) is a novel state of matter with exotic excitations and was theoretically predicted to be realized most possibly in an S=1/2 kagome antiferromagnet. Experimentally searching for the candidate materials is a big…

Strongly Correlated Electrons · Physics 2014-09-15 Yuesheng Li , Bingying Pan , Shiyan Li , Wei Tong , Langsheng Ling , Zhaorong Yang , Junfeng Wang , Zhongjun Chen , Zhonghua Wu , Qingming Zhang

Using quantum chemistry calculations we shed fresh light on the electronic structure and magnetic properties of RuCl3, a proposed realization of the honeycomb Kitaev spin model. It is found that the nearest-neighbor Kitaev exchange K is…

Strongly Correlated Electrons · Physics 2017-01-19 Ravi Yadav , Nikolay A. Bogdanov , Vamshi M. Katukuri , Satoshi Nishimoto , Jeroen van den Brink , Liviu Hozoi

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

Quantum spin liquids (QSLs) represent an exotic quantum many-body state characterized by the suppression of long-range magnetic order due to strong quantum fluctuations. The kagome spin-1/2 antiferromagnet (AFM) is a prime candidate for…

Strongly Correlated Electrons · Physics 2024-07-24 S. Suetsugu , T. Asaba , S. Ikemori , Y. Sekino , Y. Kasahara , K. Totsuka , B. Li , Y. Zhao , Y. Li , Y. Kohama , Y. Matsuda

KCuCl$_3$ is a three dimensionally coupled spin dimer system, which undergoes a pressure-induced quantum phase transition from a gapped ground state to an antiferromagnetic state at a critical pressure of $P_{\rm c} \simeq 8.2$ kbar.…

Strongly Correlated Electrons · Physics 2009-11-13 K. Goto , T. Osakabe , K. Kakurai , Y. Uwatoko , A. Oosawa , J. Kawakami , H. Tanaka