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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 have investigated the spin dynamics in the strongly correlated chain copper oxide SrCuO$_2$ for energies up to $\gtrsim 0.6$ eV using inelastic neutron scattering. We observe an acoustic band of magnetic excitations which is well…

Strongly Correlated Electrons · Physics 2010-07-28 I. A. Zaliznyak , H. Woo , T. G. Perring , C. L. Broholm , C. D. Frost , H. Takagi

We study the doping evolution of spin excitations in a 1D Hubbard model and its downfolded spin Hamiltonians, by using exact diagonalization combined with cluster perturbation theory. In all models, we observe hardening (softening) of spin…

Strongly Correlated Electrons · Physics 2019-05-08 Ekaterina M. Pärschke , Yao Wang , Brian Moritz , Thomas P. Devereaux , Cheng-Chien Chen , Krzysztof Wohlfeld

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 confinement of a spinon liberated by doping two-dimensional frustrated quantum antiferromagnets with a non-magnetic impurity or a mobile hole is investigated. For a static vacancy, an intermediate behavior between complete deconfinement…

Strongly Correlated Electrons · Physics 2007-05-23 Didier Poilblanc , Andreas Laeuchli , Matthieu Mambrini , Frederic Mila

Equal time spin--spin and pair field correlation functions are calculated for a two-chain Hubbard model using a density-matrix numerical renormalization group approach. At half-filling, the antiferromagnetic and pair field correlations both…

Condensed Matter · Physics 2009-10-22 R. M. Noack , S. R. White , D. J. Scalapino

We investigate the out-of-equilibrium dynamics after a local quench that connects two spin-1/2 XXZ chains prepared in the ground state of the Hamiltonian in different phases, one in the ferromagnetic phase and the other in the critical…

Strongly Correlated Electrons · Physics 2017-01-19 A. L. de Paula , H. Bragança , R. G. Pereira , R. C. Drumond , M. C. O. Aguiar

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

We study the weak-coupling limit of the $t-t^\prime-U$ Hubbard model on a two-dimensional square lattice using a direct perturbative approach. Aided by symbolic computational tools, we compute the longitudinal density-density correlation…

Strongly Correlated Electrons · Physics 2022-08-10 B. D. E. McNiven , Hanna Terletska , G. T. Andrews , J. P. F. LeBlanc

Using a time-dependent density matrix renormalization group approach, we study the dynamical structure factor of the $J_1 - J_2$ spin-1 chain. As $J_2$ increases, the magnon mode develops incommensurability. The system undergoes a…

Strongly Correlated Electrons · Physics 2025-02-06 Aman Sharma , Mithilesh Nayak , Henrik M. Rønnow , Frédéric Mila

Asymptotic properties of nearly-half-filled one-dimensional conductors coupled with phonons are studied through a renormalization group method. Due to spin-charge coupling via electron-phonon interaction, the spin correlation varies with…

Strongly Correlated Electrons · Physics 2009-04-27 K. Yonemitsu , M. Imada

We use numerical and analytical results to construct a simple ansatz for the energy dynamical correlation function of the 1D antiferromagnetic Heisenberg model. This is applied to compute the phonon assisted absorption spectra of magnetic…

Condensed Matter · Physics 2008-06-16 J. Lorenzana , R. Eder

Based on the Majumdar-Ghosh chain we construct several spin models which allow us to investigate spinon dynamics in the regime close to deconfinement of spinons. We consider the J_1 - J_2 - \delta model, two coupled J_1 - J_2 chains…

Condensed Matter · Physics 2009-10-31 T. M. R. Byrnes , M. T. Murphy , O. P. Sushkov

Combining high-temperature expansions with the recursion method and quantum Monte Carlo simulations with the maximum entropy method, we study the dynamics of the spin-1/2 Heisenberg chain at temperatures above and below the coupling J. By…

Strongly Correlated Electrons · Physics 2009-10-30 O. A. Starykh , A. W. Sandvik , R. R. P. Singh

We find novel confined states in the spin-$S$ nearest-neighbor antiferromagnetic Heisenberg model on the two-dimensional Penrose lattice. Linear spin waves have massively degenerate eigenstates strictly confined to tricoordinated sites.…

Strongly Correlated Electrons · Physics 2026-05-26 Takashi Inoue , Shoji Yamamoto

We study the dynamical spin excitations of the one-dimensional $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy by using quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation…

Strongly Correlated Electrons · Physics 2021-01-13 Jun-Han Huang , Guang-Ming Zhang , Dao-Xin Yao

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

Superconductivity · Physics 2022-03-02 Thomas A. Maier , Elbio Dagotto

We analyze the low-energy dynamics of quasi one dimensional, large-$S$ quantum antiferromagnets with easy-axis anisotropy, using a semi-classical non-linear sigma model. The saddle point approximation leads to a sine Gordon equation which…

Strongly Correlated Electrons · Physics 2020-07-23 H. Lane , C. Stock , S. -W. Cheong , F. Demmel , R. A. Ewings , F. Krüger

Recent work has demonstrated that quantum Fisher information (QFI), a witness of multipartite entanglement, and magnetic Van Hove correlations $G(r,t)$, a probe of local real-space real-time spin dynamics, can be successfully extracted from…

Strongly Correlated Electrons · Physics 2022-08-09 Pontus Laurell , Allen Scheie , D. Alan Tennant , Satoshi Okamoto , Gonzalo Alvarez , Elbio Dagotto

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