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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…

强关联电子 · 物理学 2009-11-11 J. -S. Caux , R. Hagemans , J. -M. Maillet

We consider one-dimensional (1D) interacting spinless fermions with a non-linear spectrum in a clean quantum wire (non-linear bosonization). We compute diagrammatically the 1D dynamical structure factor, $S(\om,q)$, beyond the Tomonaga…

强关联电子 · 物理学 2007-05-23 Sofian Teber

The dynamical spin structure factor S^{zz}(Q,omega) in the small momentum region is derived analytically for the one-dimensional supersymmetric t-J model with 1/r^2 interaction. Strong spin-charge separation is found in the spin dynamics.…

强关联电子 · 物理学 2007-05-23 Mitsuhiro Arikawa , Yasuhiro Saiga

We investigate the relaxation dynamics of equal-time correlations in the antiferromagnetic phase of the XXZ spin-1/2 chain following a global quantum quench of the anisotropy parameter. We focus, in particular, on the relaxation dynamics…

强关联电子 · 物理学 2024-01-02 Flávia B. Ramos , Andrew Urichuk , Imke Schneider , Jesko Sirker

We investigate dynamical stability of the ground state against a time-periodic and spatially-inhomogeneous magnetic field for finite quantum XXZ spin chains. We use the survival probability as a measure of stability and demonstrate that it…

其他凝聚态物理 · 物理学 2009-05-22 Kazue Kudo , Katsuhiro Nakamura

Form factors for local spin operators of the XXZ Heisenberg spin-1/2 finite chain are computed. Representation theory of Drinfel'd twists for the sl2 quantum affine algebra in finite dimensional modules is used to calculate scalar products…

数学物理 · 物理学 2018-08-30 N. Kitanine , J. M. Maillet , V. Terras

We calculate the bulk and boundary parts of the free energy for an open spin-1/2 XXZ-chain in the critical regime by bosonisation. We identify the cutoff independent contributions and determine their amplitudes by comparing with Bethe…

强关联电子 · 物理学 2011-02-16 J. Sirker , M. Bortz

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.…

高能物理 - 理论 · 物理学 2009-10-31 V. Fridkin , Yu. Stroganov , D. Zagier

We study the open XXZ spin chain in the anti-ferromagnetic regime and for generic longitudinal magnetic fields at the two boundaries. We discuss the ground state via the Bethe ansatz and we show that, for a chain of even length L and in a…

统计力学 · 物理学 2019-08-21 Sebastian Grijalva , Jacopo De Nardis , Veronique Terras

A spin-orbital chain with different Land\'e $g$ factors and one-ion anisotropy is studied in the context of the thermodynamical Bethe ansatz. It is found that there exists a magnetization plateau resulting from the different Land\'e $g$…

强关联电子 · 物理学 2009-11-10 Zu-Jian Ying , Angela Foerster , Xi-Wen Guan , Bin Chen , Itzhak Roditi

The dynamical structure factor $S(q,\omega)$ of the K-component (K = 2,3,4) spin chain with the 1/r^2 exchange is derived exactly at zero temperature for arbitrary size of the system. The result is interpreted in terms of a free…

强关联电子 · 物理学 2009-10-31 Takashi Yamamoto , Yasuhiro Saiga , Mitsuhiro Arikawa , Yoshio Kuramoto

We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-1/2 XXZ model under a magnetic field. These data are…

强关联电子 · 物理学 2009-11-10 T. Hikihara , A. Furusaki

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…

强关联电子 · 物理学 2015-03-31 A. J. A. James , W. D. Goetze , F. H. L. Essler

Two-body weak decays / and are examined under isospin analysis to study nonfactorizable contributions. After extracting the strong phases and obtaining the factorizable contributions from spectator-quark diagrams for Nc=3, we determine…

高能物理 - 唯象学 · 物理学 2024-12-04 Maninder Kaur , Supreet Pal Singh , R. C. Verma

The spin-1/2 Heisenberg XXZ chain is a paradigmatic quantum integrable model. Although it can be solved exactly via Bethe ansatz techniques, there are still open issues regarding the spectrum at root of unity values of the anisotropy. We…

统计力学 · 物理学 2021-09-22 Yuan Miao , Jules Lamers , Vincent Pasquier

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

统计力学 · 物理学 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering problem for local spins, we obtain multiple integral representations of the $n$-point correlation functions of the XXZ Heisenberg spin-$1 \over 2$…

数学物理 · 物理学 2018-08-30 N. Kitanine , J. M. Maillet , V. Terras

We consider the problem of computing form factors of the massless XXZ Heisenberg spin-1/2 chain in a magnetic field in the (thermodynamic) limit where the size M of the chain becomes large. For that purpose, we take the particular example…

高能物理 - 理论 · 物理学 2009-11-19 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We compute the momentum- and frequency-dependent longitudinal spin structure factor for the one-dimensional spin-1/2 $XXZ$ Heisenberg spin chain in a magnetic field, using exact determinant representations for form factors on the lattice.…

强关联电子 · 物理学 2009-11-11 J. -S. Caux , J. -M. Maillet

This work focuses on the calculation of the large-volume behaviour of form factors of local operators in the XXZ spin-$1/2$ chain taken between the ground state and an excited state containing bound states. The analysis is rigorous and…

数学物理 · 物理学 2017-04-26 Karol K. Kozlowski