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Using Monte Carlo integration methods, we describe the behavior of the exact four-spinon dynamic structure function $S_{4}$ in the antiferromagnetic spin 1/2 Heisenberg quantum spin chain as a function of the neutron energy $\omega$ and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Abada , B. Si-Lakhal

In this paper we derive the exact expression of the four-spinon contribution to the dynamical correlation function of the spin S= 1/2 anisotropic (XXZ) Heisenberg model in the antiferromagnetic regime. We extensively study its isotropic…

High Energy Physics - Theory · Physics 2009-10-30 A. Abada , A. H. Bougourzi , B. Si-Lakhal

We derive the exact contribution of two spinons to the dynamical correlation function of the spin-1/2 Heisenberg model. For this, we use the isotropic limits of the exact form factors that have been recently computed through the quantum…

q-alg · Mathematics 2009-10-30 A. H. Bougourzi , M. Couture , M. Kacir

We report a neutron scattering study of the dynamic spin correlations in Rb$_2$MnF$_4$, a two-dimensional spin-5/2 antiferromagnet. By tuning an external magnetic field to the value for the spin-flop line, we reduce the effective spin…

Condensed Matter · Physics 2009-11-07 R. J. Christianson , R. L. Leheny , R. J. Birgeneau , R. W. Erwin

We present low-temperature dynamic properties of the quantum two-dimensional antiferromagnetic Heisenberg model with spin S=1/2. The calculation of the dynamic correlation function is performed by combining a projection operator formalism…

Strongly Correlated Electrons · Physics 2009-11-11 A. F. Albuquerque , A. S. T. Pires , M. E. Gouvea

We report a neutron scattering study of the spin correlations for the spin 5/2, two-dimensional antiferromagnet Rb_2MnF_4 in an external magnetic field. Choosing fields near the system's bicritical point, we tune the effective anisotropy in…

Strongly Correlated Electrons · Physics 2009-10-31 R. L. Leheny , R. J. Christianson , R. J. Birgeneau , R. W. Erwin

We compute the exact 4-spinon contribution to the zero-temperature dynamical structure factor of the spin-1/2 Heisenberg isotropic antiferromagnet in zero magnetic field, directly in the thermodynamic limit. We make use of the expressions…

Strongly Correlated Electrons · Physics 2016-05-17 J. -S. Caux , R. Hagemans

We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb_2MnF_4. The measured correlation lengths are quantitatively described, with no…

Strongly Correlated Electrons · Physics 2009-10-31 Y. S. Lee , M. Greven , B. O. Wells , R. J. Birgeneau , G. Shirane

We revisit our initial derivations of the exact 2-spinon $S_2$ and 4-spinon $S_4$ dynamical structure factors (DSF). First we show that the latter derivations had normalization factors that are twice and quadriple the correct ones…

Statistical Mechanics · Physics 2025-05-13 A. H. Bougourzi

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

The exact 2-spinon part of the dynamic spin structure factor $S_{xx}(Q,\omega)$ for the one-dimensional $s$=1/2 $XXZ$ model at $T$=0 in the antiferromagnetically ordered phase is calculated using recent advances by Jimbo and Miwa in the…

Condensed Matter · Physics 2009-10-30 A. Hamid Bougourzi , Michael Karbach , Gerhard Müller

A model relevant for the study of certain molecular magnets is the ring of N=4 classical spins with equal near-neighbor isotropic Heisenberg exchange interactions. Assuming classical Heisenberg spin dynamics, we solve explicitly for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard A. Klemm , Marshall Luban

We study dynamical properties of the anisotropic triangular quantum antiferromagnet Cs_2CuCl_4. Inelastic neutron scattering measurements have established that the dynamical spin correlations cannot be understood within a linear spin wave…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Y. Veillette , Andrew J. A. James , Fabian H. L. Essler

We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the antiferromagnetic ground state. We give two different…

Condensed Matter · Physics 2009-10-22 Vladimir E. Korepin , Anatoli G. Izergin , Fabian H. L. Essler , Denis B. Uglov

Using the spinon picture we derive an integral representation for the exact n-spinon dynamic structure factor of the spin-1/2 Heisenberg model.

q-alg · Mathematics 2008-02-03 A. H. Bougourzi

We consider the one-dimensional Ising-like fully anisotropic S=1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of transverse magnetic field $h_x$. We obtain dynamical spin…

Strongly Correlated Electrons · Physics 2009-11-07 Asimkumar Ghosh

In the context of the antiferromagnetic spin 1/2 Heisenberg quantum spin chain (XXX model), we estimate the contribution of the exact four-spinon dynamic structure factor $S_4$ by calculating a number of sum rules the total dynamic…

Strongly Correlated Electrons · Physics 2009-11-11 B. Si Lakhal , A. Abada

We compute all dynamical spin-spin correlation functions for the spin-1/2 $XXZ$ anisotropic Heisenberg model in the gapless antiferromagnetic regime, using numerical sums of exact determinant representations for form factors of spin…

Strongly Correlated Electrons · Physics 2009-11-11 J. -S. Caux , R. Hagemans , J. -M. Maillet

We present a series expansion study of spin-S square-lattice Heisenberg antiferromagnets. The numerical data are in excellent agreement with recent neutron scattering measurements. Our key result is that the correlation length for S>1/2…

Condensed Matter · Physics 2009-10-28 N. Elstner , A. Sokol , R. R. P. Singh , M. Greven , R. J. Birgeneau

We study the dynamic spin structure factor of the spin-$1/2$ square-lattice Heisenberg antiferromagnet and of the $J$-$Q$ model (with 4-spin interactions $Q$ and Heisenberg exchange $J$). Using an improved method for stochastic analytic…

Strongly Correlated Electrons · Physics 2018-01-03 Hui Shao , Yan Qi Qin , Sylvain Capponi , Stefano Chesi , Zi Yang Meng , Anders W. Sandvik
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