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Quantum spin liquids are exotic many-body states featured with long-range entanglement and fractional anyon quasiparticles. Quantum phase transitions of spin liquids are particularly interesting problems related with novel phenomena of…

Strongly Correlated Electrons · Physics 2024-07-19 Kyusung Hwang

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

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

After reviewing the concept of vison excitations in Z_2 dimer liquids, we study the liquid-crystal transition of the Quantum Dimer Model on the triangular lattice by means of a semiclassical spin-wave approximation to the dispersion of…

Strongly Correlated Electrons · Physics 2008-05-27 Gregoire Misguich , Frederic Mila

We present an example for the phase transition between a topological non-trivial solid phase and a trivial solid phase in the quantum dimer model(QDM) on triangular lattice. Such a transition is beyond the Landau's paradigm of phase…

Strongly Correlated Electrons · Physics 2018-07-10 Jianhua Yang , Tao Li

Transitions between quantum spin liquids (QSLs) are fundamental problems lying beyond the Landau paradigm and requiring a deep understanding of the entanglement structures of QSLs called topological orders. The novel concept of anyon…

Strongly Correlated Electrons · Physics 2024-04-10 Kyusung Hwang

We consider a family of generalized Rokhsar-Kivelson (RK) Hamiltonians, which are reverse-engineered to have an arbitrary edge-weighted superposition of dimer coverings as their exact ground state at the RK point. We focus on a quantum…

Strongly Correlated Electrons · Physics 2026-03-17 Laura Shou , Jeet Shah , Matthew Lerner-Brecher , Amol Aggarwal , Alexei Borodin , Victor Galitski

We construct a lattice model of topological order (kagome quantum spin liquids) and solve it with unbiased quantum Monte Carlo simulations. A three-stage anyon condensation with two transitions from a $\mathbb Z_2\boxtimes\mathbb Z_2$…

Strongly Correlated Electrons · Physics 2021-01-08 Yan-Cheng Wang , Zheng Yan , Chenjie Wang , Yang Qi , Zi Yang Meng

The nontrivialness of quantum spin liquid (QSL) typically manifests in the non-local observables that signifies their existence, however, this fact actually casts shadow on detecting QSL with experimentally accessible probes. Here, we…

Strongly Correlated Electrons · Physics 2018-08-22 Guang Yu Sun , Yan-Cheng Wang , Chen Fang , Yang Qi , Meng Cheng , Zi Yang Meng

We consider a quantum dimer model (QDM) on the kagome lattice which was introduced recently [Phys. Rev. Lett. 89, 137202 (2002)]. It realizes a Z_2 liquid phase and its spectrum was obtained exactly. It displays a topological degeneracy…

Strongly Correlated Electrons · Physics 2007-05-23 Gregoire Misguich , Vincent Pasquier , Frederic Mila , Claire Lhuillier

The properties and experimental identification of quantum spin liquids (QSLs) remain an important topic with many fundamental questions. Here, we explore the dynamics of a single charge dopant (hole) in a $t$-$J_{1}$-$J_{2}$ model on a…

Strongly Correlated Electrons · Physics 2025-02-26 J. H. Nyhegn , K. Knakkergaard Nielsen , G. M. Bruun

Quantum loop and dimer models are prototypical correlated systems with local constraints, which are not only intimately connected to lattice gauge theories and topological orders but are also widely applicable to the broad research areas of…

Strongly Correlated Electrons · Physics 2024-07-01 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Rhine Samajdar , Junchen Rong , Subir Sachdev , Yang Qi , Zi Yang Meng

Realization of non-Abelian anyons in topological phases is a crucial step toward topological quantum computation. We propose a scheme to realize a non-Abelian quantum spin liquid (QSL) phase in a three-component Bose gas with contact…

Quantum Gases · Physics 2024-03-20 Kaiye Shi , Wei Zhang , Zheng-Xin Liu

The $\mathbb{Z}_2$ topological phase in the quantum dimer model on the Kagom\'e-lattice is a candidate for the description of the low-energy physics of the anti-ferromagnetic Heisenberg model on the same lattice. We study the extend of the…

Strongly Correlated Electrons · Physics 2017-12-20 Marc D. Schulz

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

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

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints. Obtaining generic solutions for these models is difficult due to the lack of controlled methods to solve them in the thermodynamic limit.…

Strongly Correlated Electrons · Physics 2024-06-12 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

The complex interplay between charge and spin dynamics lies at the heart of strongly correlated quantum materials, and it is a fundamental topic in basic research with far reaching technological perspectives. We explore in this paper the…

Strongly Correlated Electrons · Physics 2025-12-09 Jens H. Nyhegn , Kristian Knakkergaard Nielsen , Leon Balents , Georg M. Bruun

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

Dual-species arrays of ultracold neutral atoms have recently attracted increased interest due to the ability to independently control different atomic species and tune the interatomic interactions. This capability provides additional…

Quantum Physics · Physics 2026-05-06 Ahmed M. Farouk , Ilya I. Beterov , Ghadeer Suliman , Junxi Chen , Igor I. Ryabtsev
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