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The infinite Heisenberg XXZ spin-(1/2) chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations.…

Strongly Correlated Electrons · Physics 2022-10-17 S. B. Rutkevich

Confinement is a process by which particles with fractional quantum numbers bind together to form quasiparticles with integer quantum numbers. The constituent particles are confined by an attractive interaction whose strength increases with…

We study the tuning effect of a transverse magnetic field on the confinement of spinons in the infinite XXZ spin-1/2 chain. The spinon confinement in this model takes place in the gapped antiferromagnetic phase upon application of a…

Strongly Correlated Electrons · Physics 2024-01-15 S. B. Rutkevich

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

The idea of confinement states that in certain systems constituent particles can be discerned only indirectly being bound by an interaction whose strength increases with increasing particle separation. Though the most famous example is the…

Strongly Correlated Electrons · Physics 2009-12-06 B. Lake , A. M. Tsvelik , S. Notbohm , D. A. Tennant , T. G. Perring , M. Reehuis , C. Sekar , G. Krabbes , B. Büchner

For quasi-one dimensional quantum spin systems theory predicts the occurrence of a confinement of spinon excitation due to interchain couplings. Here we investigate the system SrCo2V2O8, a realization of the weakly-coupled Ising-like XXZ…

Strongly Correlated Electrons · Physics 2015-04-10 Zhe Wang , M. Schmidt , A. K. Bera , A. T. M. N. Islam , B. Lake , A. Loidl , J. Deisenhofer

Fractionalization remains one of the most fascinating manifestations of strong interactions in quantum many-body systems. In quantum magnetism, the existence of spinons -- collective magnetic excitations that behave as quasiparticles with…

Strongly Correlated Electrons · Physics 2025-07-31 N. E. Shaik , E. Fogh , B. Dalla Piazza , B. Normand , D. Ivanov , H. M. Rønnow

We investigate the nature of low-energy excitations in a spin chain with antiferrmomagnetic nearest-neighbor $J_1$, next-nearest-neighbor $J_2$, and three-site $J_3$ interactions using the time-dependent density matrix renormalization group…

Strongly Correlated Electrons · Physics 2026-03-06 Aman Sharma , Mithilesh Nayak , Natalia Chepiga , Henrik M. Rønnow , Frédéric Mila

Using Random Phase Approximation, we show that a crossed-chains model of a spin-1/2 Heisenberg spins, with frustrated interchain couplings, has a non-dimerized spin-liquid ground state in 2D, with deconfined spinons as the elementary…

Strongly Correlated Electrons · Physics 2009-11-07 Oleg A. Starykh , Rajiv R. P. Singh , Gregory C. Levine

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

Strongly Correlated Electrons · Physics 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux

We present a systematic inelastic neutron scattering and neutron diffraction study of the magnetic structure of the quasi-1D spin-1/2 magnet SrCo2V2O8, where the interchain coupling in the Neel-type antiferromagnetic ground state breaks the…

Strongly Correlated Electrons · Physics 2022-03-04 L. Shen , E. Campillo , O. Zaharko , P. Steffens , M. Boehm , K. Beauvois , B. Ouladdiaf , Z. He , D. Prabhakaran , A. T. Boothroyd , E. Blackburn

The Ising chain realizes the fundamental paradigm of spin fractionalization, where locally flipping a spin creates two domain walls (spinons) that can separate apart at no energy cost. In a quasi-one-dimensional system, the mean-field…

Strongly Correlated Electrons · Physics 2023-11-21 Leonie Woodland , David Macdougal , Ivelisse M. Cabrera , Jordan D. Thompson , D. Prabhakaran , Robert I. Bewley , Radu Coldea

One-dimensional (1D) magnetic insulators have attracted significant interest as a platform for studying emergent phenomena such as quasiparticle fractionalization and quantum criticality. The antiferromagnetic Heisenberg chain of spins-1/2…

Strongly Correlated Electrons · Physics 2018-12-20 J. Schlappa , U. Kumar , K. J. Zhou , S. Singh , M. Mourigal , V. N. Strocov , A. Revcolevschi , L. Patthey , H. M. Rønnow , S. Johnston , T. Schmitt

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

The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed matter physics. We explore the possibility in a realistic model for several materials, the spin-1/2 spatially anisotropic…

Strongly Correlated Electrons · Physics 2009-03-23 Masanori Kohno , Oleg A. Starykh , Leon Balents

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

Strongly Correlated Electrons · Physics 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

Exotic quantum states and fractionalized magnetic excitations, such as spinons in one-dimensional chains, are generally viewed as belonging to the domain of 3d transition metal systems with spins 1/2. Our neutron scattering experiments on…

We introduce an entanglement entropy analysis to quantitatively identify the confinement and deconfinement of the spinons in the spin excitations of quantum magnets. Our proposal is implemented by the parton construction of a…

Strongly Correlated Electrons · Physics 2021-12-01 Zhao-Yang Dong , Wei Wang , Zhao-Long Gu , Jian-Xin Li

We explore the magnetic excitations of the spin-1/2 triangular antiferromagnet Ba3CoSb2O9 in its 120 degree ordered phase using single-crystal high-resolution inelastic neutron scattering. Sharp magnons with no decay are observed throughout…

Strongly Correlated Electrons · Physics 2020-08-26 David Macdougal , Stephanie Williams , Dharmalingam Prabhakaran , Robert I. Bewley , David J. Voneshen , Radu Coldea

We report high-resolution inelastic neutron scattering measurements of the excitation spectrum in large single crystals of the spin-1/2 triangular lattice Ising-like antiferromagnet Na2BaCo(PO4)2 in magnetic fields applied transverse to the…

Strongly Correlated Electrons · Physics 2025-09-16 Leonie Woodland , Ryutaro Okuma , J. Ross Stewart , Christian Balz , Radu Coldea
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