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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 consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation…

Strongly Correlated Electrons · Physics 2009-11-10 J. S. Caux , F. H. L. Essler , U. Loew

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

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 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

The longitudinal spin structure factor for the XXZ-chain at small wave-vector q is obtained using Bethe Ansatz, field theory methods and the Density Matrix Renormalization Group. It consists of a peak with peculiar, non-Lorentzian shape and…

Strongly Correlated Electrons · Physics 2007-05-23 R. G. Pereira , J. Sirker , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

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 present a study of the dynamic structure factor of the antiferromagnetic spin-1/2 Heisenberg chain at finite temperatures and finite magnetic fields. Using Quantum-Monte-Carlo based on the stochastic series expansion and Maximum-Entropy…

Strongly Correlated Electrons · Physics 2009-11-13 S. Grossjohann , W. Brenig

We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-like anisotropy $\Delta$. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent…

Strongly Correlated Electrons · Physics 2015-03-31 A. J. A. James , W. D. Goetze , F. H. L. Essler

The exact expression derived by Bougourzi, Couture, and Kacir for the 2-spinon contribution to the dynamic spin structure factor $S_{zz}(q,\omega)$ of he one-dimensional $S$=1/2 Heisenberg antiferromagnet at $T=0$ is evaluated for direct…

Condensed Matter · Physics 2009-10-28 Michael Karbach , Gerhard Müller , A. Hamid Bougourzi

We consider the XXZ quantum spin chain in its massless, disordered regime at zero field. We derive an exact expression for the two-spinon form-factor of $S^z=1/2\sigma^z$ by taking a limit of the massive XYZ form-factors found by Lashkevich…

Strongly Correlated Electrons · Physics 2015-06-03 J. -S. Caux , H. Konno , M. Sorrell , R. Weston

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

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

The spin-$\frac{1}{2}$ XXZ chain with easy-plane anisotropy in a transverse field describes well the thermodynamic properties of the material ${\rm Cs_2CoCl_4}$ in a wide range of temperatures and fields including the region close to the…

Strongly Correlated Electrons · Physics 2016-08-23 Benedikt Bruognolo , Andreas Weichselbaum , Jan von Delft , Markus Garst

We compute the spin structure factor of XXZ spin chains in the Heisenberg and gapped (Ising) regimes in the high-temperature limit for nonzero magnetization, within the framework of generalized hydrodynamics including diffusive corrections.…

Statistical Mechanics · Physics 2019-08-21 Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

We study the exact solution of the XXZ spin-1/2 Heisenberg chain with a boundary magnetic field in the region where the bulk excitations are gapless. It is shown that a bound state is created near the boundary with a total spin $S =…

Condensed Matter · Physics 2015-06-25 P. de Sa , A. M. Tsvelik

We study the anisotropic Heisenberg (XYZ) spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value…

Strongly Correlated Electrons · Physics 2009-11-10 Amit Dutta , Diptiman Sen

Using the Jordan-Wigner fermionization in two dimensions we obtain the zz wave vector- and frequency-dependent structure factor for the spin-1/2 isotropic XY model on a spatially anisotropic square lattice. We use the obtained results to…

Condensed Matter · Physics 2009-11-10 Oleg Derzhko , Taras Krokhmalskii

We perform a spectral decomposition of the dynamical correlation function of the spin $1/2$ XXZ model into an infinite sum of products of form factors. Beneath the four-particle threshold in momentum space the only non-zero contributions to…

High Energy Physics - Theory · Physics 2009-09-25 Robert A. Weston , A. H. Bougourzi

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
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