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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…

强关联电子 · 物理学 2009-11-10 J. S. Caux , F. H. L. Essler , U. Loew

The T=0 dynamical properties of the one-dimensional (1D) $s=1/2$ Heisenberg antiferromagnet in a uniform magnetic field are studied via Bethe ansatz for cyclic chains of $N$ sites. The ground state at magnetization $0<M_z<N/2$, which can be…

强关联电子 · 物理学 2009-11-07 Michael Karbach , Daniel Biegel , Gerhard Muller

We combine Bethe Ansatz and field theory methods to study the longitudinal dynamical structure factor S^{zz}(q,omega) for the anisotropic spin-1/2 chain in the gapless regime. Using bosonization, we derive a low energy effective model,…

强关联电子 · 物理学 2009-11-13 R. G. Pereira , J. Sirker , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

We study the dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field h, focusing in particular on the singularities at excitation energies in the vicinity of the lower thresholds of the leading-order dominant…

强关联电子 · 物理学 2015-10-28 J. M. P. Carmelo , P. D. Sacramento , D. K. Campbell

The dynamical structure factor $S(Q,\omega)$ of the $S=1$ antiferromagnetic Heisenberg chain with length 20 at zero temperature is calculated. The lowest energy states have the delta-function peak at the region $\pi\ge \vert Q\vert…

凝聚态物理 · 物理学 2009-10-22 Minoru Takahashi

We predict that spin-waves in an ordered square quantum antiferromagnet in a transverse magnetic field (h) may demonstrate three modes of spin excitations. Starting from the self-consistent rotation-invariant Green's function method, a new…

强关联电子 · 物理学 2020-12-30 P. S. Savchenkov , A. F. Barabanov

The magnetic and thermodynamic properties of spin-1/2 Heisenberg diamond chains are investigated in three different cases: (a) J1, J2, J3>0 (frustrated); (b) J1, J3<0, J2>0 (frustrated); and (c) J1, J2>0, J3<0 (non-frustrated). The density…

强关联电子 · 物理学 2009-11-13 Bo Gu , Gang Su

We study the finite temperature, low energy, long wave-length spectrum of the dynamic structure factor of the spin-$1/2$ antiferromagnetic Heisenberg chain in the presence of exchange anisotropy and external magnetic fields. Using…

强关联电子 · 物理学 2015-01-15 Yousef Rahnavard , Robin Steinigeweg , Wolfram Brenig

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

Measurements are reported of the magnetic field dependence of excitations in the quantum critical state of the spin S=1/2 linear chain Heisenberg antiferromagnet copper pyrazine dinitrate (CuPzN). The complete spectrum was measured at k_B…

强关联电子 · 物理学 2009-11-10 M. B. Stone , D. H. Reich , C. Broholm , K. Lefmann , C. Rischel , C. P. Landee , M. M. Turnbull

We investigate a spin-1/2 antiferromagnetic chain with trimerized exchange couplings relevant to Na$_2$Cu$_3$Ge$_4$O$_{12}$. We show that the low-energy Hilbert space maps onto an effective Heisenberg chain of composite spin-1/2 trimer…

强关联电子 · 物理学 2026-05-26 Snehasish Sen , Sudhansu S. Mandal

By circumventing the difficulty of obtaining exact string state solutions to Bethe ansatz equations, we devise a truncated string state space approach for investigating spin dynamics in a nonintegrable spin-$\frac{1}{2}$ Heisenberg chain…

强关联电子 · 物理学 2024-06-26 Jiahao Yang , Jianda Wu

A systematic perturbation theory is developed for the ESR shift and is applied to the spin-1/2 Heisenberg chain. Using the Bethe ansatz technique, we exactly analyze the resonance shift in the first order of perturbative expansion with…

统计力学 · 物理学 2009-11-11 Y. Maeda , K. Sakai , M. Oshikawa

We calculate the exact dynamical magnetic structure factor S(Q,E) in the ground state of a one-dimensional S=1/2 antiferromagnet with gapless free S=1/2 spinon excitations, the Haldane-Shastry model with inverse-square exchange, which is in…

凝聚态物理 · 物理学 2009-10-22 F. D. M. Haldane , M. R. Zirnbauer

We study the spin excitation spectra of the two-dimensional spin-$1/2$ Heisenberg model with a checkerboard structures using stochastic analytic continuation of the imaginary-time correlation function obtained from a quantum Monte Carlo…

强关联电子 · 物理学 2019-02-13 Yining Xu , Zijian Xiong , Han-Qing Wu , Dao-Xin Yao*

In the presence of a uniform field the one-dimensional spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model develops zero frequency excitations at field-dependent 'soft mode' momenta. We determine three types of critical quantities, which…

凝聚态物理 · 物理学 2009-10-28 A Fledderjohann , C Gerhardt , K H Mutter , A Schmitt , M Karbach

A new exactly solvable one-dimensional spin-3/2 Heisenberg model with SO(5)-invariance is proposed. The eigenvalues and Bethe ansatz equations of the model are obtained by using the nested algebraic Bethe ansatz approach. Several exotic…

强关联电子 · 物理学 2009-07-08 Yuzhu Jiang , Junpeng Cao , Yupeng Wang

The natural explanation of the excitation spectrum of the spin-1 antiferromagnetic Heisenberg chain is given from the viewpoint of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain. The energy spectrum of the latter…

凝聚态物理 · 物理学 2009-10-22 Kazuo Hida

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…

强关联电子 · 物理学 2007-05-23 R. G. Pereira , J. Sirker , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

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…

强关联电子 · 物理学 2009-11-07 Asimkumar Ghosh