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The existence of a gapped chiral spin liquid has been recently suggested in the vicinity of the metal-insulator transition of the Hubbard model on the triangular lattice, by intensive density-matrix renormalization group (DMRG) simulations…

强关联电子 · 物理学 2021-11-01 Luca F. Tocchio , Arianna Montorsi , Federico Becca

We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group (DMRG) calculation. With the time reversal symmetry breaking due to the magnetic…

强关联电子 · 物理学 2020-09-23 Zheng Zhu , Zheng-Yu Weng , D. N. Sheng

We study a time-reversal invariant non-abelian spin-liquid state in an $SU (2)$ symmetric spin $S = 1$ quantum magnet on a triangular lattice. The spin-liquid is obtained by quantum disordering a non-collinear nematic state. We show that…

强关联电子 · 物理学 2011-09-20 Tarun Grover , T. Senthil

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

Motivated by recent experimental observations in $\alpha$-RuCl$_3$, we study the $K$-$\Gamma$ model on the honeycomb lattice in an external magnetic field. By a slave-particle representation and Variational Monte Carlo calculations, we…

强关联电子 · 物理学 2018-05-15 Zheng-Xin Liu , Bruce Normand

We analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a…

强关联电子 · 物理学 2013-11-15 S. R. Hassan , Sandeep K Goyal , R. Shankar , David Sénéchal

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

强关联电子 · 物理学 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t'. We first study the magnetic instability of…

强关联电子 · 物理学 2015-06-17 Long Liang , Ziqiang Wang , Yue Yu

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

强关联电子 · 物理学 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle

We exactly solve a four-site spin model with site-dependent Kitaev's coupling in a tetrahedron by means of an analytical diagonalization. The non-abelian fusion rules of eigen vortex excitations in this small lattice model are explicitly…

强关联电子 · 物理学 2008-11-13 Yue Yu , Tieyan Si

We report the synthesis and properties of (H,Li)$_{6}$Ru$_{2}$O$_{6}$, which is shown to be a $J_{\text{eff}}=\frac{1}{2}$ system made out of Ru$^{3+}$ moments in a honeycomb geometry. Bulk magnetization, heat capacity, nuclear magnetic…

强关联电子 · 物理学 2025-02-06 Sanjay Bachhar , M. Baenitz , Hubertus Luetkens , John Wilkinson , Sumiran Pujari , A. V. Mahajan

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

The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically…

强关联电子 · 物理学 2024-08-01 Matthias Gohlke , Jose Carlos Pelayo , Takafumi Suzuki

We present a systematic framework to classify symmetry-enriched topological quantum spin liquids in two spatial dimensions. This framework can deal with all topological quantum spin liquids, which may be either Abelian or non-Abelian,…

强关联电子 · 物理学 2024-09-30 Weicheng Ye , Liujun Zou

The infinite projected entangled simplex state (iPESS), a type of tensor network (TN) state, has been used successfully for simulating and characterizing {\it non-chiral} spin liquids on the kagome lattice. Here, we demonstrate that iPESS…

强关联电子 · 物理学 2022-12-15 Sen Niu , Juraj Hasik , Ji-Yao Chen , Didier Poilblanc

$\alpha$-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…

强关联电子 · 物理学 2022-05-24 Daichi Takikawa , Masahiko G. Yamada , Satoshi Fujimoto

Magnetic moments arranged at the corners of a honeycomb lattice are predicted to form a novel state of matter, Kitaev quantum spin liquid, under the influence of frustration effects between bond-dependent Ising interactions. Some layered…

Quantum spin liquids are materials that feature quantum entangled spin correlations and avoid magnetic long-range order at T = 0 K. Particularly interesting are two-dimensional honeycomb spin lattices where a plethora of exotic quantum spin…

强关联电子 · 物理学 2020-11-20 C. Wessler , B. Roessli , K. W. Krämer , B. Delley , O. Waldmann , L. Keller , D. Cheptiakov , H. B. Braun , M. Kenzelmann

We develop an exactly solvable model with Kitaev-type interactions and study its phase diagram on the dual lattice of the quasicrystalline Ammann-Beenker lattice. Our construction is based on the $\Gamma$-matrix generalization of the Kitaev…

强关联电子 · 物理学 2024-11-05 M. A. Keskiner , O. Erten , M. Ö. Oktel

We investigate the stability and the nature of the chiral spin liquids which were recently uncovered in extended Heisenberg models on the kagome lattice. Using a Gutzwiller projected wave function approach -- i.e. a parton construction --…

强关联电子 · 物理学 2015-09-23 Alexander Wietek , Antoine Sterdyniak , Andreas M. Läuchli