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Related papers: Classification of Classical Spin Liquids: Topologi…

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Spin liquids are exotic phases of matter that often support emergent gauge fields and quasi-particle excitations. While spin liquids are commonly known for remaining disordered, their definition has been extended to include phases with…

Strongly Correlated Electrons · Physics 2021-12-28 E. Lhotel , L. D. C. Jaubert , P. C. W. Holdsworth

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

Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correlations at zero…

Strongly Correlated Electrons · Physics 2023-08-29 Naïmo Davier , Flavia A. Gómez Albarracín , H. Diego Rosales , Pierre Pujol

Motivated by the search for chiral spin liquids (CSL), we consider a simple model defined on the kagome lattice of interacting SU(3) spins (in the fundamental representation) including two-site and three-site permutations between nearest…

Classical spin liquids (CSLs) have proved to be a fruitful setting for the emergence of exotic gauge theories. Vacancy clusters in CSLs can introduce gauge charges into the system, and the resulting behavior in turn reveals the nature of…

Strongly Correlated Electrons · Physics 2025-04-10 R. Flores-Calderón , Owen Benton , Roderich Moessner

The search for quantum spin liquids (QSL) -- topological magnets with fractionalized excitations -- has been a central theme in condensed matter and materials physics. While theories are no longer in short supply, tracking down materials…

Strongly Correlated Electrons · Physics 2022-05-11 Anish Bhardwaj , Shu Zhang , Han Yan , Roderich Moessner , Andriy H. Nevidomskyy , Hitesh J. Changlani

We present a general review of the projective symmetry group classification of fermionic quantum spin liquids for lattice models of spin $S=1/2$. We then introduce a systematic generalization of the approach for symmetric $\mathbb{Z}_2$…

Strongly Correlated Electrons · Physics 2016-03-31 Samuel Bieri , Claire Lhuillier , Laura Messio

Spin liquids are a paradigmatic example of a non-trivial state of matter, and the search for new spin liquids is a key direction of physics, chemistry, and materials science. Geometric frustration -- where the geometry of the net that the…

Strongly Correlated Electrons · Physics 2024-07-29 Joseph A. M. Paddison , Matthew J. Cliffe

We report that a possible Z2 quantum spin liquid (QSL) can be observed in a new class of frustrated system: spinor bosons subject to a pi flux in a square lattice. We construct a new class of Ginsburg-Landau (GL) type of effective action to…

Strongly Correlated Electrons · Physics 2020-05-12 Fadi Sun , Jinwu Ye

Geometrical frustration in quantum magnets provides a fertile setting for unconventional phases of matter, including quantum spin liquids (QSLs). The trellis lattice, with its complex site arrangements and edge-sharing triangular motifs,…

Dissipative dynamics of quantum systems can be classified topologically based on the correspondence between the Lindbladian in the Gorini-Kossakowski-Sudarshan-Lindblad equation and the non-Hermitian Hamiltonian in the Schr\"{o}dinger…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Makio Kawasaki , Ken Mochizuki , Hideaki Obuse

By including a material-relevant off-diagonal interaction called the $\Gamma$ term into the Kitaev model and introducing spatial anisotropy in the interaction strength on the honeycomb lattice, we obtain a series of nodal Z$_2$ quantum spin…

Strongly Correlated Electrons · Physics 2020-09-15 Jiucai Wang , Zheng-Xin Liu

Spin layer groups are the crystallographic symmetry groups with a periodic plane, and their symmetry operations are inherited from three-dimensional (3D) spin space groups. However, the direct application of 3D symmetry groups to…

Materials Science · Physics 2026-05-26 Zeying Zhang , Gui-Bin Liu , Mu Tian , Run-Wu Zhang , Zhi-Ming Yu , Yugui Yao

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…

Strongly Correlated Electrons · Physics 2025-12-03 Chenan Wei , Liu Yang , Qing-Dong Jiang

Spin liquids are exotic quantum states characterized by the existence of fractional and deconfined quasiparticle excitations, referred to as spinons and visons. Their fractional nature establishes topological properties such as a protected…

Strongly Correlated Electrons · Physics 2017-12-20 Jonas Sonnenschein , Johannes Reuther

Quantum Spin Liquids (QSLs) are phases of interacting spins that do not order even at the absolute zero temperature, making it impossible to characterize them by a local order parameter. In this article, we review the unique view provided…

Strongly Correlated Electrons · Physics 2013-02-06 Tarun Grover , Yi Zhang , Ashvin Vishwanath

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…

Strongly Correlated Electrons · Physics 2018-05-21 Yasuyuki Kato , Yoshitomo Kamiya , Joji Nasu , Yukitoshi Motome

Classification of possible quantum spin liquid (QSL) states of interacting spin-1/2's in two dimensions has been a fascinating topic of condensed matter for decades, resulting in enormous progress in our understanding of low-dimensional…

Strongly Correlated Electrons · Physics 2016-09-28 Hyunyong Lee , Jung Hoon Han

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

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…

Strongly Correlated Electrons · Physics 2014-04-23 Yin-Chen He , D. N. Sheng , Yan Chen