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The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also…

强关联电子 · 物理学 2014-09-16 Shou-Shu Gong , Wei Zhu , 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

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

We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

强关联电子 · 物理学 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

Chiral spin liquids (CSLs) are time-reversal symmetry breaking ground states of frustrated quantum magnets that show no long-range magnetic ordering, but instead exhibit topological order and fractional excitations. Their realization in…

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

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

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

强关联电子 · 物理学 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

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

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

强关联电子 · 物理学 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

We demonstrate the existence of a topological chiral spin liquid in the frustrated Shastry-Sutherland Heisenberg model with an additional spin chirality interaction, using numerically unbiased exact diagonalization and density matrix…

强关联电子 · 物理学 2024-03-06 Jian-Wei Yang , Wei-Wei Luo , W. Zhu , L. Wang , Bo Yang , Pinaki Sengupta

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

The frustrated XY model on the honeycomb lattice has drawn lots of attentions because of the potential emergence of chiral spin liquid (CSL) with the increasing of frustrations or competing interactions. In this work, we study the extended…

强关联电子 · 物理学 2021-01-27 Yixuan Huang , Xiao-Yu Dong , D. N. Sheng , C. S. Ting

We study $S=1$ spin liquid states on the kagome lattice constructed by Gutzwiller-projected $p_x+ip_y$ superconductors. We show that the obtained spin liquids are either non-Abelian or Abelian topological phases, depending on the topology…

强关联电子 · 物理学 2018-06-01 Zheng-Xin Liu , Hong-Hao Tu , Ying-Hai Wu , Rong-Qiang He , Xiong-Jun Liu , Yi Zhou , Tai-Kai Ng

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

Since strong quantum fluctuations are essential for the emergence of quantum spin liquids, there have been extensive exploration and identification of spin liquid candidates in spin-$1/2$ systems, while such activities are rare in higher…

强关联电子 · 物理学 2023-07-26 Wei-Wei Luo , Yixuan Huang , D. N. Sheng , W. Zhu

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

We study the zero-temperature phase diagram of the spin-$\frac{1}{2}$ Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large…

强关联电子 · 物理学 2021-01-01 Saeed S. Jahromi , Roman Orus , Didier Poilblanc , Frédéric Mila

Chiral Spin Liquids (CSL) are quantum spin analogs of electronic Fractional Chern Insulators. Their realizations on ultracold-atom or Rydberg-atom platforms remain very challenging. Recently, a setup of time-periodic modulations of…

强关联电子 · 物理学 2026-03-06 Didier Poilblanc , Matthieu Mambrini , Nathan Goldman

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
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