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Chiral spin liquids (CSLs) in three dimensions and thermal phase transitions to paramagnet are studied by unbiased Monte Carlo simulations. For an extension of the Kitaev model to a three-dimensional tricoordinate network dubbed the…

强关联电子 · 物理学 2018-05-21 Yasuyuki Kato , Yoshitomo Kamiya , Joji Nasu , Yukitoshi Motome

We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL…

强关联电子 · 物理学 2009-11-13 Hong Yao , Steven A. Kivelson

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…

强关联电子 · 物理学 2017-09-20 Ciarán Hickey , Lukasz Cincio , Zlatko Papić , Arun Paramekanti

We consider the spin rotationally invariant Kalmeyer-Laughlin chiral spin liquid (CSL) in systems with broken time-reversal symmetry and explore symmetry constraints on possible conventional spin crystal states accessible via a direct…

强关联电子 · 物理学 2025-11-07 Anjishnu Bose , Andrew Hardy , Naren Manjunath , Ramanjit Sohal , Arun Paramekanti

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…

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are…

强关联电子 · 物理学 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

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…

强关联电子 · 物理学 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

We established a large class of exactly soluble spin liquids and chiral spin liquids on three dimensional helix lattices by introducing Kitaev-type's spin coupling. In the chiral spin liquids, exact stable ground states with spontaneous…

强关联电子 · 物理学 2012-06-07 Tieyan Si , Yue Yu

Kalmeyer-Laughlin (KL) chiral spin liquid (CSL) is a type of quantum spin liquid without time-reversal symmetry, and it is considered as the parent state of an exotic type of superconductivity--anyon superconductor. Such exotic state has…

强关联电子 · 物理学 2014-04-23 Yin-Chen He , D. N. Sheng , Yan Chen

The breaking of chiral and time-reversal symmetries provides a pathway to exotic quantum phenomena and topological phases. In particular, the breaking of chiral (mirror) symmetry in quantum materials has been shown to have important…

强关联电子 · 物理学 2023-02-13 Anjishnu Bose , Arijit Haldar , Erik S. Sørensen , Arun Paramekanti

Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the…

强关联电子 · 物理学 2025-12-10 Tingyu Gao , Niklas Tausendpfund , Erik L. Weerda , Jan Naumann , Matteo Rizzi , David F. Mross

Frustrated quantum magnets can harbor unconventional spin liquid ground states in which the elementary magnetic moments fractionalize into new emergent degrees of freedom. While the fractionalization of quantum numbers is one of the…

强关联电子 · 物理学 2016-07-12 Kevin O'Brien , Maria Hermanns , Simon Trebst

We study the interplay of competing interactions in spin-$1/2$ triangular Heisenberg model through tuning the first- ($J_1$), second- ($J_2$), and third-neighbor ($J_3$) couplings. Based on large-scale density matrix renormalization group…

强关联电子 · 物理学 2019-12-25 Shou-Shu Gong , Wayne Zheng , Mac Lee , Yuan-Ming Lu , D. N. Sheng

The topological quantum spin liquids (SL) and the nature of quantum phase transitions between them have attracted intensive attentions for the past twenty years. The extended kagome spin-1/2 antiferromagnet emerges as the primary candidate…

强关联电子 · 物理学 2015-08-05 W. Zhu , S. S. Gong , D. N. Sheng

In the field of frustrated magnetism, Kitaev models provide a unique framework to study the phenomena of spin fractionalization and emergent lattice gauge theories in two and three spatial dimensions. Their ground states are quantum spin…

Topological phases in frustrated quantum magnetic systems have captivated researchers for decades, with the chiral spin liquid (CSL) standing out as one of the most compelling examples. Featured by long-range entanglement, topological…

强关联电子 · 物理学 2025-12-03 Chenan Wei , Liu Yang , Qing-Dong Jiang

We study the spin-1/2 Kitaev honeycomb gapless spin liquid in the presence of Stone-Wales-type local lattice defects with odd-sided plaquettes. While the clean Kitaev model has no finite-temperature phase transitions, we find that…

强关联电子 · 物理学 2026-05-05 Arnab Seth , Fay Borhani , Itamar Kimchi

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…

强关联电子 · 物理学 2022-01-21 Hidenori Takagi , Tomohiro Takayama , George Jackeli , Giniyat Khaliullin , Stephen E. Nagler

As one of the most intriguing states of matter, the chiral spin liquid (CSL) has attracted much scientific interest while its existence and mechanism in crystalline strongly correlated systems remain hotly debated. On the other hand, strong…

强关联电子 · 物理学 2024-04-09 Yixuan Huang , D. N. Sheng , Jian-Xin Zhu

Chiral spin liquids, which break time-reversal symmetry, are of great interest due to their topological properties and fractionalized excitations (anyons). In this work, we investigate chiral spin liquids (CSL) on the kagome lattice arising…

强关联电子 · 物理学 2026-01-19 Hee Seung Kim , Hyeok-Jun Yang , Karlo Penc , SungBin Lee
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