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We show that a honeycomb lattice of Heisenberg spin-$1/2$ chains with three-spin junction interactions allows for controlled analytical studies of chiral spin liquids (CSLs). Tuning these interactions to a chiral fixed point, we find a…

Strongly Correlated Electrons · Physics 2019-09-26 Gabriel Ferraz , Flavia B. Ramos , Reinhold Egger , Rodrigo G. Pereira

Triangular lattice quantum antiferromagnet has recently emerged to be a promising playground for realizing Dirac spin liquids (DSLs) -- a class of highly entangled quantum phases hosting emergent gauge fields and gapless Dirac fermions.…

Strongly Correlated Electrons · Physics 2020-12-18 Vladimir Calvera , Chong Wang

We use the tensor network algorithm to show evidences of a non-uniform chiral spin-liquid (CSL) ground state in a frustrated spin-1/2 model on a square lattice, in the regime of moat-like band structure of the lattice, i.e., a band with…

Strongly Correlated Electrons · Physics 2018-12-06 Rui Wang , Haiyuan Zou , Tigran Sedrakyan , Baigeng Wang , D. Y. Xing

While the existence of a chiral spin liquid (CSL) on a class of spin-1/2 kagome antiferromagnets is by now well-established numerically, a controlled theoretical path from the lattice model leading to a low energy topological field theory…

Strongly Correlated Electrons · Physics 2016-01-06 Yin-Chen He , Subhro Bhattacharjee , Frank Pollmann , R. Moessner

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…

Strongly Correlated Electrons · Physics 2019-12-25 Shou-Shu Gong , Wayne Zheng , Mac Lee , Yuan-Ming Lu , D. N. Sheng

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

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…

Strongly Correlated Electrons · Physics 2024-03-06 Jian-Wei Yang , Wei-Wei Luo , W. Zhu , L. Wang , Bo Yang , Pinaki Sengupta

We study dynamics of a chiral soliton lattice (CSL) in a classical one-dimensional spin chain coupled to the conduction electrons under an electric field. The CSL has attracted much interest because its period can be easily controlled by an…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 Kunio Tokushuku , Jun-ichiro Kishine , Masao Ogata

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…

Strongly Correlated Electrons · Physics 2015-08-05 W. Zhu , S. S. Gong , D. N. Sheng

Frustrated magnetic systems can host highly interesting phases known as classical spin liquids (CSLs), which feature {extensive} ground state degeneracy and lack long-range magnetic order. Recently, Yan and Benton et al. proposed a…

Strongly Correlated Electrons · Physics 2024-10-08 Yuan Fang , Jennifer Cano , Andriy H. Nevidomskyy , Han Yan

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…

Strongly Correlated Electrons · Physics 2026-01-19 Hee Seung Kim , Hyeok-Jun Yang , Karlo Penc , SungBin Lee

The hallmark of highly frustrated systems is the presence of many states close in energy to the ground state. Fluctuations between these states can preclude the emergence of any form of order and lead to the appearance of spin liquids. Even…

Strongly Correlated Electrons · Physics 2023-05-31 Han Yan , Owen Benton , Andriy H. Nevidomskyy , Roderich Moessner

The triangular lattice Hubbard model at strong coupling, whose effective spin model contains both Heisenberg and ring exchange interactions, exhibits a rich phase diagram as the ratio of the hopping $t$ to onsite Coulomb repulsion $U$ is…

Strongly Correlated Electrons · Physics 2026-04-21 Daniel J. Schultz , Alexandre Khoury , Félix Desrochers , Omid Tavakol , Emily Z. Zhang , Yong Baek Kim

Few level quantum systems driven by $n_\mathrm{f}$ incommensurate fundamental frequencies exhibit temporal analogues of non-interacting phenomena in $n_\mathrm{f}$ spatial dimensions, a consequence of the generalisation of Floquet theory in…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Philip J. D. Crowley , Ivar Martin , Anushya Chandran

In the present work, we revisit a recently proposed and experimentally realized topological 2D lattice with periodically time-dependent interactions. We identify the fundamental solitons, previously observed in experiments and direct…

Pattern Formation and Solitons · Physics 2022-04-26 Ross Parker , Jesús Cuevas-Maraver , P. G. Kevrekidis , Alejandro Aceves

Quantum spin liquids (QSLs) host exotic fractionalized magnetic and gauge-field excitations whose microscopic origins and experimental verification remain frustratingly elusive. In the absence of static magnetic order, the spin excitation…

Strongly Correlated Electrons · Physics 2026-03-31 Jiahang Hu , Runze Chi , Yibin Guo , B. Normand , Hai-Jun Liao , T. Xiang

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…

Strongly Correlated Electrons · Physics 2025-11-07 Anjishnu Bose , Andrew Hardy , Naren Manjunath , Ramanjit Sohal , Arun Paramekanti

We study an optical Raman square lattice with $\mathrm{U}(1)$ synthetic gauge flux to show chiral spin liquid (CSL) phase for cold atoms based on slave-rotor theory and spinon mean-field theory, respectively. An effective U($1$) gauge flux…

Strongly Correlated Electrons · Physics 2024-04-04 Jian Yang , Xiong-Jun Liu

We propose an SU(3) symmetric Hamiltonian with short-range interactions on the Kagome lattice and show that it hosts an Abelian chiral spin liquid (CSL) state. We provide numerical evidence based on exact diagonalization to show that this…

Strongly Correlated Electrons · Physics 2018-10-17 Ying-Hai Wu , Hong-Hao Tu

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…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao