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We study the longitudinal dynamical structure factor $S^{zz}(q,\omega)$ for the anisotropic spin-1/2 (XXZ) chain at finite magnetic field using bosonization. The leading irrelevant operators in the effective bosonic model stemming from band…

Strongly Correlated Electrons · Physics 2008-03-03 J. Sirker , R. G. Pereira , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

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

Exact formulas for the singularities of the dynamical structure factor, S^{zz}(q,omega), of the S=1/2 xxz spin chain at all q and any anisotropy and magnetic field in the critical regime are derived, expressing the exponents in terms of the…

Strongly Correlated Electrons · Physics 2009-11-13 Rodrigo G. Pereira , Steven R. White , Ian Affleck

We study the dynamic structure factor $S(k,\omega)$ of the spin-1/2 chain with long-range, power-law decaying unfrustrated (sign alternating) Heisenberg interactions $J_r \sim (-1)^{r-1} r^{-\alpha}$ by means of stochastic analytic…

Strongly Correlated Electrons · Physics 2025-06-05 Sibin Yang , Gabe Schumm , Anders W. Sandvik

Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and…

Statistical Mechanics · Physics 2009-11-10 Jun Sato , Masahiro Shiroishi , Minoru Takahashi

Dynamical correlation functions contain important physical information on correlated spin models. Here a dynamical theory suitable suitable to the isotropic spin-1/2 Heisenberg chain in a longitudinal magnetic field is extended to…

Strongly Correlated Electrons · Physics 2021-11-29 José M. P. Carmelo , Pedro D. Sacramento

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for $U_q(sl(2))$ symmetry of the Hamiltonian.…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 V. Fridkin , Yu. Stroganov , D. Zagier

Recently there has been a renewed interest in the spectra and role in dynamical properties of excited states of the spin-1/2 Heisenberg antiferromagnetic chain in longitudinal magnetic fields associated with Bethe strings. The latter are…

Other Condensed Matter · Physics 2020-09-23 J. M. P. Carmelo , T. Cadez , P. D. Sacramento

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 calculate the dynamic structure factor S (omega, q) of spinless fermions in one dimension with quadratic energy dispersion k^2/2m and long range density-density interaction whose Fourier transform f_q is dominated by small…

Strongly Correlated Electrons · Physics 2008-08-15 Peyman Pirooznia , Florian Schuetz , Peter Kopietz

Using Bethe-ansatz solutions, we uncover a well-defined continuum in dynamical structure factor $S^{+-}(k,\omega)$ of the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields. It comes from string solutions which continuously…

Strongly Correlated Electrons · Physics 2009-03-23 Masanori Kohno

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

We derive exactly scalar products and form factors for integrable higher-spin XXZ chains through the algebraic Bethe-ansatz method. Here spin values are arbitrary and different spins can be mixed. We show the affine quantum-group symmetry,…

Statistical Mechanics · Physics 2011-07-06 Tetsuo Deguchi , Chihiro Matsui

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

The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density…

Other Condensed Matter · Physics 2016-10-19 M. Motta , E. Vitali , M. Rossi , D. E. Galli , G. Bertaina

We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime ($\Delta > 1$). Specializing to the case of zero field, we use two independent approaches…

Strongly Correlated Electrons · Physics 2009-11-13 J. -S. Caux , J. Mossel , I. Pérez Castillo

The dynamical structure factor of the S=1/2 bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic field is investigated using the continued fraction method based on the Lanczos algorithm. When the plateau exists…

Strongly Correlated Electrons · Physics 2009-10-31 Mamoru Usami , Sei-ichiro Suga

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

The dynamical properties of the S=1/2 antiferromagnetic XXZ chain are studied by the exact diagonalization and the recursion method of finite systems up to 24 sites. Two types of the exchange interaction are considered: one is the…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

Inelastic neutron scattering experiments are commonly used to unveil how excitations on Heisenberg spin models play a role in dynamical correlations functions. For a certain class of materials, like CsCoCl$_3$ or CsCoBr$_3$ salts, it turns…

Strongly Correlated Electrons · Physics 2020-05-22 Isaac Pérez Castillo
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