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A quantum spin liquid (QSL) is a novel phase of matter with long-range entanglement where localized spins are highly correlated with the vanishing of magnetic order. Such exotic quantum states provide the opportunities to develop new…

Strongly Correlated Electrons · Physics 2022-09-21 Wen-Yuan Liu , Juraj Hasik , Shou-Shu Gong , Didier Poilblanc , Wei-Qiang Chen , Zheng-Cheng Gu

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 liquid (QSL) has become an exciting topic in interacting spin systems that do not order magnetically down to the lowest experimentally accessible temperature; however, conclusive experimental evidence remains lacking. Motivated…

Strongly Correlated Electrons · Physics 2023-10-26 Saikat Banerjee , Wei Zhu , Shi-Zeng Lin

A quantum spin liquid (QSL) arises from a highly entangled superposition of many degenerate classical ground states in a frustrated magnet, and is characterized by emergent gauge fields and deconfined fractionalized excitations (spinons).…

Strongly Correlated Electrons · Physics 2025-06-24 Bin Gao , Félix Desrochers , David W. Tam , Paul Steffens , Arno Hiess , Yixi Su , Sang-Wook Cheong , Yong Baek Kim , Pengcheng Dai

Quantum spin liquids (QSL) have generated considerable excitement as phases of matter with emergent gauge structures and fractionalized excitations. In this context, phase transitions out of QSLs have been widely discussed as Higgs…

Strongly Correlated Electrons · Physics 2021-09-15 Hyeok-Jun Yang , Nic Shannon , SungBin Lee

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 glance at recent research on magnetism turns up a curious set of articles discussing, or claiming evidence for, a state of matter called a quantum spin liquid (QSL). These articles are notable in their invocation of exotic notions of…

Strongly Correlated Electrons · Physics 2023-10-31 T. Lancaster

The quantum spin liquid (QSL) state has been searched intensively in Kitaev-like materials, such as the Iridium oxides $A_2$IrO$_3$ and $\alpha$-RuCl$_3$. The half-filled Kitaev-Hubbard model with bond dependent hopping terms is used to…

Strongly Correlated Electrons · Physics 2022-10-06 Shaojun Dong , Hao Zhang , Chao Wang , Meng Zhang , Yong-Jian Han , Lixin He

Pursuing fractionalized particles that do not bear properties of conventional measurable objects, exemplified by bare particles in the vacuum such as electrons and elementary excitations such as magnons, is a challenge in physics. Here we…

Strongly Correlated Electrons · Physics 2021-08-17 Yusuke Nomura , Masatoshi Imada

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 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

A quantum spin liquid (QSL) is an exotic state of matter in which electrons' spins are quantum entangled over long distances, but do not show symmetry-breaking magnetic order in the zero-temperature limit. The observation of QSL states is a…

Strongly Correlated Electrons · Physics 2017-03-08 J. A. M. Paddison , M. Daum , Z. L. Dun , G. Ehlers , Y. Liu , M. B. Stone , H. D. Zhou , M. Mourigal

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

Quantum spin liquids (QSLs) are long-range entangled states of quantum magnets which lie beyond the Landau paradigm of classifying phases of matter via broken symmetries. A physical route to arriving at QSLs is via frustration-induced…

Strongly Correlated Electrons · Physics 2017-09-20 Ciarán Hickey , Lukasz Cincio , Zlatko Papić , Arun Paramekanti

We study the ground-state properties of the quantum spin liquid (QSL) phases of the spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice with nearest- ($J_1$), next-nearest- ($J_2$), and third-neighbor ($J_3$)…

Strongly Correlated Electrons · Physics 2023-05-10 Yi-Fan Jiang , Hong-Chen Jiang

Organic solids host various electronic phases. Especially, a milestone compound of organic solid, $\beta'$-$X$[Pd(dmit)$_2$]$_2$ with $X$=EtMe$_3$Sb shows quantum spin-liquid (QSL) properties suggesting a novel state of matter. However,…

Strongly Correlated Electrons · Physics 2022-04-29 Kota Ido , Kazuyoshi Yoshimi , Takahiro Misawa , Masatoshi Imada

Quantum spin liquids (QSLs) are exotic phases with intrinsic massive entanglements. Instead of microscopic spins, fractionalized particles and gauge fluctuations are emergent, revealing QSLs' exotic natures. Quantum spins with strong…

Strongly Correlated Electrons · Physics 2019-01-16 Sangjin Lee , Eun-Gook Moon

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…

The possible existence of a quantum spin liquid (QSL) phase, an exotic state of matter with long-range quantum entanglement and fractionalized excitations, in $\alpha$-RuCl$_3$ has sparked widespread interests in exploring QSLs in various…

Strongly Correlated Electrons · Physics 2023-04-04 Shun-Yao Yu , Han Li , Qi-Rong Zhao , Yuan Gao , Xiao-Yu Dong , Zheng-Xin Liu , Wei Li , Shou-Shu Gong
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