{
  "id": "cond-mat/9611077",
  "version": "v1",
  "published": "1996-11-11T09:51:01.000Z",
  "updated": "1996-11-11T09:51:01.000Z",
  "title": "Dynamic correlations of antiferromagnetic spin-1/2 XXZ chains at arbitrary temperature from complete diagonalization",
  "authors": [
    "Klaus Fabricius",
    "Ute Löw",
    "Joachim Stolze"
  ],
  "comment": "30 pages, REVTEX, 21 figures, to appear in Physical Review B",
  "doi": "10.1103/PhysRevB.55.5833",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "All eigenstates and eigenvalues are determined for the spin- 1/2 $XXZ$ chain $H = 2J \\sum_i ( S_{i}^{x} S_{i + 1}^{x} + S_{i}^{y} S_{i + 1}^{y} + \\Delta S_i^z S_{i + 1}^{z})$ for rings with up to N=16 spins, for anisotropies $\\Delta=0 , \\cos(0.3\\pi)$, and 1. The dynamic spin pair correlations $< S_{l+n}^{\\mu}(t) S_l^{\\mu} > , (\\mu=x,z)$, the dynamic structure factors $S^{\\mu}(q,\\omega)$, and the intermediate structure factors $I^{\\mu}(q,t)$ are calculated for arbitrary temperature T. It is found, that for all T, $S^{z}(q,\\omega)$ is mainly concentrated on the region $|\\omega| < \\varepsilon_2(q)$, where $\\varepsilon_2(q)$ is the upper boundary of the two-spinon continuum, although excited states corresponding to a much broader frequency spectrum contribute. This is also true for the Haldane-Shastry model and the frustrated Heisenberg model. The intermediate structure factors $I^{\\mu}(q,t)$ for $\\Delta \\neq 0$ show exponential decay for high T and large q. Within the accessible time range, the time-dependent spin correlation functions do not display the long-time signatures of spin diffusion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-11-11T09:51:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary temperature",
      "dynamic correlations",
      "complete diagonalization",
      "xxz chains",
      "intermediate structure factors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}