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We present a new application of the traditional thermodynamic Bethe ansatz to the spin-1/2 antiferromagnetic uniform Heisenberg chain and derive exact nonlinear integral equations for just {\em two} functions describing the elementary…

凝聚态物理 · 物理学 2010-11-17 A. Klümper , D. C. Johnston

The $S=1/2$ kagome- and triangular-lattice Heisenberg antiferromagnets are investigated using the numerical exact diagonalization and the finite-size scaling analysis. The behaviour of the field derivative at zero magnetization is examined…

强关联电子 · 物理学 2018-05-23 Toru Sakai , Hiroki Nakano

We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain…

统计力学 · 物理学 2008-12-18 Michael Bortz , Jun Sato , Masahiro Shiroishi

A microscopic magnetic model for the spin-1/2 Heisenberg chain compound CuSe2O5 is developed based on the results of a joint experimental and theoretical study. Magnetic susceptibility and specific heat data give evidence for quasi-1D…

强关联电子 · 物理学 2009-11-20 O. Janson , W. Schnelle , M. Schmidt , Yu. Prots , S. -L. Drechsler , S. K. Filatov , H. Rosner

Haldane's seminal work established two fundamentally different types of excitation spectra for antiferromagnetic Heisenberg quantum spin chains: gapped excitations in integer-spin chains and gapless excitations in half-integer-spin chains.…

The exact solution of an integrable anisotropic Heisenberg spin chain with nearest-neighbour, next-nearest-neighbour and scalar chirality couplings is studied, where the boundary condition is the antiperiodic one. The detailed construction…

数学物理 · 物理学 2020-06-03 Yi Qiao , Jian Wang , Junpeng Cao , Wen-Li Yang

We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_{3}$ and a dimer field with period $q$ and strength $\delta$. The latter generates a magnetization…

强关联电子 · 物理学 2016-08-15 A. Fledderjohann , C. Gerhardt , M. Karbach , K. -H. Mütter , R. Wießner

We have studied the low-energy excitation spectrum of a dimerized and frustrated antiferromagnetic Heisenberg chain. We use an analytic approach, based on a description of the excitations as triplets above a strong-coupling singlet ground…

超导电性 · 物理学 2009-10-31 P. V. Shevchenko , V. N. Kotov , O. P. Sushkov

Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s=1/2 Heisenberg antiferromagnet in zero and nonzero magnetic…

统计力学 · 物理学 2009-10-31 Michael Karbach , Kun Hu , Gerhard Muller

We study Heisenberg spin-1/2 and spin-1 chains with alternating ferromagnetic ($J_1^F$) and antiferromagnetic ($J_1^A$) nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction ($J_2^F$). In this model frustration…

强关联电子 · 物理学 2014-06-19 Shaon Sahoo , V. M. L. Durga Prasad Goli , Diptiman Sen , S. Ramasesha

We derive a master equation for the dynamical spin-spin correlation functions of the XXZ spin-1/2 Heisenberg finite chain in an external magnetic field. In the thermodynamic limit, we obtain their multiple integral representation.

高能物理 - 理论 · 物理学 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

Recent experiments of the quasi-one-dimensional spin-1/2 antiferromagnet Copper Benzoate established the existence of a magnetic field induced gap. The observed neutron scattering intensity exhibits resolution limited peaks at both the…

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

We discuss spin-$\frac12$ Heisenberg antiferromagnet on the triangular lattice using the recently proposed bond-operator technique (BOT). We use the variant of the BOT which takes into account all spin degrees of freedom in the magnetic…

强关联电子 · 物理学 2022-04-14 A. V. Syromyatnikov

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap distribution and the string order parameter are…

无序系统与神经网络 · 物理学 2009-10-30 Kazuo Hida

Strong quantum fluctuations and unconventional spin dynamics are well established in the spin-1/2 triangular lattice Heisenberg antiferromagnet. However, their survival in the spin-1 case remains an open question. We investigate the spin…

Frustrated spin systems can show phases with spontaneous breaking of spin-rotational symmetry without the formation of local magnetic order. We study the dynamic response of the spin-nematic phase of one-dimensional spin-1/2 systems,…

强关联电子 · 物理学 2018-10-02 Flávia B. Ramos , Sebas Eliëns , Rodrigo G. Pereira

We determine the spin-exchange dynamical structure factor of the Heisenberg spin chain, as is measured by indirect Resonant Inelastic X-ray Scattering (RIXS). We find that two-spin RIXS excitations nearly entirely fractionalize into *two…

强关联电子 · 物理学 2012-12-03 Antoine Klauser , Jorn Mossel , Jean-Sebastien Caux , Jeroen van den Brink

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

强关联电子 · 物理学 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

We study the excitation spectrum of the $S=1/2$ Heisenberg model on the randomly diluted square lattice by analytic continuation of QMC data. At dilution fractions $p=1/16$ and $p=1/8$, the dynamic structure factor $S({\bf q},\omega)$…

强关联电子 · 物理学 2025-05-27 Liuyun Dao , Hui Shao , Anders W. Sandvik

We use numerical techniques to study dynamical properties at finite temperature ($T$) of the Heisenberg spin chain with random exchange couplings, which realizes the random singlet (RS) fixed point in the low-energy limit. Specifically, we…

强关联电子 · 物理学 2018-04-02 Yu-Rong Shu , Maxime Dupont , Dao-Xin Yao , Sylvain Capponi , Anders W. Sandvik