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Single atomic defects are prominent windows to look into host quantum states because collective responses from the host states emerge as localized states around the defects. Friedel oscillations and Kondo clouds in Fermi liquids are…

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

Significant efforts have focused on the magnetic excitations of relativistic Mott insulators, predicted to realize the Kitaev quantum spin liquid (QSL). This exactly solvable model involves a highly entangled state resulting from…

A key characteristic of quantum spin liquids(QSL) is the presence of fractional excitations related to their entanglement properties, yet experimental verification of their statistics is missing. For example, in the potential Kitaev spin…

Quantum spin liquids (QSLs) form an extremely unusual magnetic state in which the spins are highly correlated and fluctuate coherently down to the lowest temperatures, but without symmetry breaking and without the formation of any static…

We develop a microscopic theory for plasmon excitations of graphene/${\alpha}$-RuCl${_3}$ heterostructures. Within a Kondo-Kitaev model with various interactions, a heavy Fermi liquid hosting flat bands emerges in which the itinerant…

Strongly Correlated Electrons · Physics 2021-07-29 Hui-Ke Jin , J. Knolle

Quantum spin liquids can arise from Kitaev magnetic interactions, and exhibit fractionalized excitations with the potential for a topological form of quantum computation. This review surveys recent experimental and theoretical progress on…

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…

The Kitaev quantum spin liquid epitomizes an entangled topological state, for which two flavors of fractionalized low-energy excitations are predicted: the itinerant Majorana fermion and the Z2 gauge flux. Detection of these excitations…

Strongly Correlated Electrons · Physics 2021-06-17 H. Li , T. T. Zhang , A. Said , G. Fabbris , D. G. Mazzone , J. Q. Yan , D. Mandrus , G. B. Halasz , S. Okamoto , S. Murakami , M. P. M. Dean , H. N. Lee , H. Miao

Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

Strongly Correlated Electrons · Physics 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

Mott insulators with localized magnetic moments will exhibit a quantum spin liquid (QSL) state when the quantum fluctuations are strong enough to suppress the ordering of the spins. Such an entangled state will give rise to collective…

Strongly Correlated Electrons · Physics 2025-04-17 Haiyang Chen , Fo-Hong Wang , Qiang Gao , Xue-Jian Gao , Zhenhua Chen , Yaobo Huang , Kam Tuen Law , Xiao Yan Xu , Peng Chen

The spin-orbit coupled Mott insulator $\alpha$-RuCl$_3$ has emerged as a prime candidate for realizing the Kitaev quantum spin liquid (KQSL), characterized by Majorana quasiparticles, whose edge states exhibit a distinctive half-integer…

The charge and spin patterns of a quantum dot embedded into a spin-orbit coupled quantum wire subject to a magnetic field are investigated. A Luttinger liquid theory is developed, taking into account open boundaries and finite magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 F. M. Gambetta , N. Traverso Ziani , S. Barbarino , F. Cavaliere , M. Sassetti

The quantum anomalous Hall (QAH) effect, first proposed in the Haldane model, is a paradigmatic example of the application of band topology in condensed matter physics. The recent experimental discoveries of high Chern number QAH effect in…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Zhaochen Liu , Jing Wang

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 exactly-solvable Kitaev model of two-dimensional honeycomb magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic…

Strongly Correlated Electrons · Physics 2022-09-13 O. Tanaka , Y. Mizukami , R. Harasawa , K. Hashimoto , K. Hwang , N. Kurita , H. Tanaka , S. Fujimoto , Y. Matsuda , E. -G. Moon , T. Shibauchi

Quantum spin liquids (QSLs) host emergent, fractionalized fermionic excitations that are charge-neutral. Identifying clear experimental signatures of these excitations remains a central challenge in the field of strongly correlated systems,…

Strongly Correlated Electrons · Physics 2025-12-04 Penghao Zhu , Archisman Panigrahi , Leonid Levitov , Nandini Trivedi

The Kitaev quantum spin liquid (QSL) on the two-dimensional honeycomb lattice epitomizes an entangled topological state, where the spins fractionalize into Majorana fermions. This state has aroused tremendous interest because it harbors…

Strongly Correlated Electrons · Physics 2022-12-12 S. Suetsugu , Y. Ukai , M. Shimomura , M. Kamimura , T. Asaba , Y. Kasahara , N. Kurita , H. Tanaka , T. Shibauchi , J. Nasu , Y. Motome , Y. Matsuda

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

The pursuit of quantum spin liquid (QSL) in the Kitaev honeycomb magnets has drawn intensive attention recently. In particular, $\alpha$-RuCl$_3$ has been widely recognized as a promising candidate for the Kitaev QSL. Although the compound…

Strongly Correlated Electrons · Physics 2023-03-29 Han Li , Wei Li , Gang Su
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