The XXZ Chain - SpringerLink The XXZ spin chain is an integrable generalization of the Heisenberg chain that accounts for a uni-axial anisotropy in the spin interaction
The XXZ Spin chain - ETH Z Let us introduce the usual raising and lowering spin operators S = Sx iSy, such that where is some real number and Sa = L+1 Sa 1 This spin chain is called the XXZ-spin chain and is integrable We will solve its spectrum by using both the algebraic and coordinate Bethe Ansatz Let us have a look at a symmetry of the Hamiltonian
The Bethe Ansatz: \(XXZ\) chain - integrability. org We will consider the dynamical spin-spin correlations (with \(a, b = x, y, z\)) \begin{equation*} {\boldsymbol S}^{ab} (k, \omega) = \frac{1}{N} \sum_{j, j'} e^{-i k (j - j')} \int_{-\infty}^\infty dt e^{i \omega (t-t')} \frac{1}{2} \langle \left[ S^a_j (t), S^b_{j'} (t') \right] \rangle \end{equation*}
The XXZ spin-1 2 chain: an integrable approach The XXZ spin-1 2 chain: an integrable approach Karol K Kozlowski 1 Univ Lyon, ENS de Lyon, Univ Claude Bernard Lyon 1, CNRS, Laboratoire de Physique, F-69342 Lyon, France Contents 1 Introduction 1 2 A detour through the six vertex model 1 2 1 The transfer matrix formalism for vertex models 1
Integrable Deformations of the XXZ Spin Chain - arXiv. org We consider integrable deformations of the XXZ spin chain for pe-riodic and open boundary conditions In particular, we classify all long-range deformations and study their impact on the spectrum
THE INFINITE XXZ QUANTUM SPIN CHAIN REVISITED: STRUCTURE OF LOW LYING . . . The XXZ chain is a one-dimensional anisotropic version of the spin-1 2 Heisenberg (or XXX) model One of the XXZ chain’s key properties, making it accessible to rigorous investigation, is that it preserves the particle number, i e the number of, say, down spins in a spin configuration
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