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The Heisenberg XXZ spin-1/2 chain is considered in the massive antiferromagnetic regime in the presence of a staggered longitudinal magnetic field. The Hamiltonian of the model is characterised by the anisotropy parameter $\Delta<-1$, and…

Statistical Mechanics · Physics 2018-04-18 S. B. Rutkevich

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

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

The fundamental excitations in an antiferromagnetic chain of spins-1/2 are spinons, de-confined fractional quasiparticles that when combined in pairs, form a triplet excitation continuum. In an Ising-like spin chain the continuum is gapped…

Strongly Correlated Electrons · Physics 2019-07-10 W. J. Gannon , I. A. Zaliznyak , L. S. Wu , A. E. Feiguin , A. M. Tsvelik , F. Demmel , Y. Qiu , J. R. D. Copley , M. S. Kim , M. C. Aronson

Integrable models support elementary excitations with infinite lifetimes. In the spin-1/2 Heisenberg chain these are known as spinons. We consider the stability of spinons when a weak integrability breaking perturbation is added to the…

Strongly Correlated Electrons · Physics 2017-08-09 Stefan Groha , Fabian H. L. Essler

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

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…

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

Experimental platforms based on trapped ions, cold molecules, and Rydberg atoms have made possible the investigation of highly-nonlocal spin-${1/2}$ Hamiltonians with long-range couplings. Here, we study the effects of such non-local…

Quantum Gases · Physics 2022-01-05 T. Macrì , L. Lepori , G. Pagano , M. Lewenstein , L. Barbiero

We study the excitation spectrum of the one-dimensional spin-1/2 XXZ chain with antiferromagnetic Ising anisotropy across a magnetic quantum phase transition induced by the application of a site-dependent transverse magnetic field.…

Strongly Correlated Electrons · Physics 2024-07-30 Catalin-Mihai Halati , Zhe Wang , Thomas Lorenz , Corinna Kollath , Jean-Sébastien Bernier

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

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

The familiar spin-1/2 quantum Heisenberg antiferromanget in a 2d square lattice is shown, within the non linear sigma model approximations, to be another novel state of matter that has excitations with fractional quantum numbers above a…

Strongly Correlated Electrons · Physics 2013-05-29 G. Baskaran

We consider the effects of interactions on the nature of spinon excitations in Heisenberg spin-1/2 chains. We explicitly compute the two-spinon part of the longitudinal structure factor of the infinite chain in zero field for all values of…

Strongly Correlated Electrons · Physics 2015-03-17 J. -S. Caux , H. Konno , M. Sorrell , R. Weston

We study the excitation energy spectrum in the S=1/2 ferromagnetic Ising spin chain with the easy axis z in a magnetic field h={h_x,0,h_z}. According to Wu and McCoy's scenario of weak confinement, the fermionic spinon excitations (kinks),…

Statistical Mechanics · Physics 2008-05-05 S. B. Rutkevich

A quantum mechanical picture is presented to describe the behavior of confined spinons in a variety of S=1/2 chains. The confinement is due to dimerization and frustration and it manifests itselfas a nonlinear potential V(x)~ |x|^b,…

Strongly Correlated Electrons · Physics 2009-10-31 Goetz S. Uhrig , Friedhelm Schoenfeld , Markus Laukamp , Elbio Dagotto

We use Monte Carlo methods to study spinons in two-dimensional quantum spin systems, characterizing their intrinsic size $\lambda$ and confinement length $\Lambda$. We confirm that spinons are deconfined, $\Lambda \to \infty$ and $\lambda$…

Strongly Correlated Electrons · Physics 2013-07-10 Ying Tang , Anders W. Sandvik

The Heisenberg-Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an…

Statistical Mechanics · Physics 2021-09-30 Gianluca Lagnese , Federica Maria Surace , Márton Kormos , Pasquale Calabrese

Confinement of fractionalized excitations can strongly restructure many-body spectra. We investigate this phenomenon in the gapped spin-$\frac{1}{2}$ XXZ chain subject to a staggered field, where spinons bind into domain-wall ``mesons''…

Strongly Correlated Electrons · Physics 2025-11-20 Julia Wildeboer , Marton Lajer , Robert M. Konik

Spin transport properties of the one-dimensional Heisenberg antiferromagnetic spin systems for both $S=1/2$ and S=1 are studied by applying twisted boundary magnetic field. The spin current displays significantly different behavior of the…

Strongly Correlated Electrons · Physics 2009-11-11 Wei Zhuo , Xiaoqun Wang , Yupeng Wang
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