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The family of rare earth chalcogenides $ARECh_{2}$ (A = alkali or monovalent ions, RE = rare earth, and Ch = O, S, Se, and Te) appears as an inspiring playground for studying quantum spin liquids (QSL). The crucial low-energy spin dynamics…

Conventionally ordered magnets possess bosonic elementary excitations, called magnons. By contrast, no magnetic insulators in more than one dimension are known whose excitations are not bosons but fermions. Theoretically, some quantum spin…

Strongly Correlated Electrons · Physics 2016-07-06 J. Nasu , J. Knolle , D. L. Kovrizhin , Y. Motome , R. Moessner

We study the transverse electrical conductivity and the corresponding magnetic noise of a two-dimensional U(1) spin liquid state with a spinon Fermi surface. We show that in the quasi-static regime these responses have the same wave-vector…

Strongly Correlated Electrons · Physics 2022-09-21 Jun Yong Khoo , Falko Pientka , Patrick A. Lee , Inti Sodemann Villadiego

We study the uniform time reversal invariant $U(1)$ quantum spin liquid (QSL) with low energy fermionic quasi-particles for rare earth pyrochlore magnets and explore its magnetic instability employing an augmented fermionic parton mean…

Strongly Correlated Electrons · Physics 2019-04-24 Sambuddha Sanyal , Kusum Dhochak , Subhro Bhattacharjee

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long sought example is the resonating-valence-bond (RVB) state, where atomic magnetic moments are…

Strongly Correlated Electrons · Physics 2013-07-19 Tian-Heng Han , Joel S. Helton , Shaoyan Chu , Daniel G. Nocera , Jose A. Rodriguez-Rivera , Collin Broholm , Young S. Lee

We consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. It is shown…

Condensed Matter · Physics 2008-02-03 A. M. Tsvelik

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

A quantum spin liquid (QSL) is a state of matter in which magnetic spins interact strongly, but quantum fluctuations inhibit long-range magnetic order even at zero temperature. A QSL has been predicted to have a host of exotic properties,…

Quantum spin liquid (QSL) with spinon Fermi surface is an exotic insulator that hosts neutral Fermi surfaces inside the gap. In an external magnetic field, it has been pointed out that the neutral Fermi surfaces are Landau quantized to form…

Strongly Correlated Electrons · Physics 2023-06-05 Wen-Yu He , Patrick. A. Lee

Motivated by the rich physics of honeycomb magnetic materials, we obtain the phase diagram and analyze magnetic properties of the spin-1/2 and spin-1 J1-J2-J3 Heisenberg model on the honeycomb lattice. Based on the SU(2) and SU(3) symmetry…

Strongly Correlated Electrons · Physics 2018-05-16 J. Merino , A. Ralko

We employ a variational Monte Carlo approach to efficiently obtain the dynamical structure factor for the spin-1/2 $J_1-J_2$ Heisenberg model on the square lattice. Upon increasing the frustrating ratio $J_2/J_1$, the ground state undergoes…

Strongly Correlated Electrons · Physics 2018-09-26 Francesco Ferrari , Federico Becca

Based on the mapping between $s=1/2$ spin operators and hard-core bosons, we extend the cluster perturbation theory to spin systems and study the whole excitation spectrum of the antiferromagnetic $J_{1}$-$J_{2}$ Heisenberg model on the…

Strongly Correlated Electrons · Physics 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

We propose a family of layered quantum spin-orbital models as a platform to study fractionalization, unconventional forms of symmetry-breaking order, and their possible coexistence. The models are built by stacking $N$ layers of a…

Strongly Correlated Electrons · Physics 2026-05-25 Pedro M. Cônsoli , Aayush Vijayvargia , Onur Erten

Electronic spins can form long-range entangled phases of condensed matter named quantum spin liquids. Their existence is conceptualized in models of two- or three-dimensional frustrated magnets that evade symmetry-breaking order down to…

The kagome lattice, with its unique geometric structure, has emerged as a leading platform for exploring quantum many-body physics, particularly in the study of quantum spin liquids (QSLs) and unconventional superconductivity. This review…

Strongly Correlated Electrons · Physics 2025-12-19 Li-Wei He , Shun-Li Yu , Jian-Xin Li

In this work we study the crystal symmetry fractionalization in chiral spin liquids with the chiral-semion topological order. We show that if such a chiral spin liquid is realized in a two-dimensional lattice model with odd number of…

Strongly Correlated Electrons · Physics 2015-11-26 Lukasz Cincio , Yang Qi

We present the results of muon spin relaxation ($\mu$SR) and neutron scattering on the Ce-based quasikagome lattice CeRh$_{1-x}$Pd$_{x}$Sn ($x=0.1$ to 0.75). Our ZF-$\mu$SR results reveal the absence of static long-range magnetic order down…

Recent advances in material synthesis made it possible to realize two-dimensional monolayers of candidate materials for a quantum spin liquid (QSL) such as $\alpha$-RuCl$_3$,1T-TaSe$_2$ and 1T-TaS$_2$. In this work, we propose an…

Strongly Correlated Electrons · Physics 2023-07-27 Raffaele Mazzilli , Alex Levchenko , Elio J. König

A broad effort is underway to understand and harness the interaction between superconductors and spin-active color centers with an eye on the realization of hybrid quantum devices and novel imaging modalities of superconducting materials.…

In quantum spin liquid states, the fractionalized spinon excitations can carry fractional crystal symmetry quantum numbers, and this symmetry fractionalization distinguishes different topologically ordered spin liquid states. In this work…

Strongly Correlated Electrons · Physics 2015-03-04 Yang Qi , Liang Fu