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Algebraic/Dirac spin liquids (DSLs) are a class of critical quantum ground states that do not have a quasi-particle description. DSLs and related spin liquid phases often arise in strongly frustrated quantum spin systems, in which strong…

Strongly Correlated Electrons · Physics 2026-03-19 Yunchao Zhang , Xue-Yang Song , T. Senthil

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

Quantum magnets provide the simplest example of strongly interacting quantum matter, yet they continue to resist a comprehensive understanding above one spatial dimension (1D). In 1D, a key ingredient to progress is Luttinger liquid theory…

Strongly Correlated Electrons · Physics 2021-05-07 Xue-Yang Song , Chong Wang , Ashvin Vishwanath , Yin-Chen He

Algebraic spin liquids are quantum disordered phases of insulating magnets which exhibit fractionalized gapless excitations and power-law correlations. Quantum spin liquids in this category include the experimentally established 1D…

Strongly Correlated Electrons · Physics 2025-12-09 Francesco Ferrari , Josef Willsher , Urban F. P. Seifert , Roser Valentí , Johannes Knolle

We explore the Dirac spin liquid (DSL) as a candidate for the ground state of the Mott insulating phase of fermions with six flavors on the Kagome lattice, particularly focusing on realizations using $^{173}$Yb atoms in optical lattices.…

Strongly Correlated Electrons · Physics 2025-12-02 Dániel Vörös , Kránitz Péter , Karlo Penc

The interplay of symmetry and topology has been at the forefront of recent progress in quantum matter. Here we uncover an unexpected connection between band topology and the description of competing orders in a quantum magnet. Specifically…

Strongly Correlated Electrons · Physics 2020-02-19 Xue-Yang Song , Yin-Chen He , Ashvin Vishwanath , Chong Wang

By performing experiment and model studies on a triangular-lattice dipolar magnet KBaGd(BO$_3$)$_2$ (KBGB), we find the highly frustrated magnet with a planar anisotropy hosts a strongly fluctuating dipolar spin liquid (DSL), which…

Strongly Correlated Electrons · Physics 2023-01-18 Junsen Xiang , Cheng Su , Ning Xi , Zhendong Fu , Zhuo Chen , Hai Jin , Ziyu Chen , Zhao-Jun Mo , Yang Qi , Jun Shen , Long Zhang , Wentao Jin , Wei Li , Peijie Sun , Gang Su

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…

Strongly Correlated Electrons · Physics 2023-07-26 Wei-Wei Luo , Yixuan Huang , D. N. Sheng , W. Zhu

Pursuing fractionalized particles that do not bear properties of conventional measurable objects, exemplified by bare particles in the vacuum such as electrons and elementary excitations such as magnons, is a challenge in physics. Here we…

Strongly Correlated Electrons · Physics 2021-08-17 Yusuke Nomura , Masatoshi Imada

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

The quantum spin liquid (QSL) is an exotic phase of magnetic materials where the spins continue to fluctuate without any symmetry breaking down to zero temperature. Among the handful reports of QSL with spin $S\ge$1, examples with magnetic…

The emergence of a quantum spin liquid (QSL), a state of matter that can result when electron spins are highly correlated but do not become ordered, has been the subject of a considerable body of research in condensed matter physics. Spin…

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,…

A quantum spin liquid (QSL) is a state of matter where unpaired electrons' spins in a solid are quantum entangled, but do not show magnetic order in the zero-temperature limit. Because such a state may be important to the microscopic origin…

Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system. We derive the topological partition functions that characterize…

Strongly Correlated Electrons · Physics 2022-10-05 Weicheng Ye , Meng Guo , Yin-Chen He , Chong Wang , Liujun Zou

Quantum spin liquids are commonly thought to be highly sensitive to lattice geometry, symmetry, and microscopic exchange patterns, leading to a proliferation of seemingly distinct phases across frustrated magnets. Here, we provide a…

Strongly Correlated Electrons · Physics 2026-03-18 Atanu Maity , Andreas Feuerpfeil , Ronny Thomale , Subir Sachdev , Yasir Iqbal

The Dirac spin liquid (DSL) is a two-dimensional (2D) fractionalized Mott insulator featuring massless Dirac spinon excitations coupled to a compact $U(1)$ gauge field, which allows for flux-tunneling instanton events described by magnetic…

Strongly Correlated Electrons · Physics 2024-05-08 G. Shankar , Joseph Maciejko

Quantum spin liquids are a new class of magnetic ground state in which spins are quantum mechanically entangled over macroscopic scales. Motivated by recent advances in the control of polar molecules, we show that dipolar interactions…

Strongly Correlated Electrons · Physics 2018-04-23 Norman Y. Yao , Michael P. Zaletel , Dan M. Stamper-Kurn , Ashvin Vishwanath

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…

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
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