Sum rules for four-spinon dynamic structure factor in XXX model

B. Si Lakhal, A. Abada

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In the context of the antiferromagnetic spin 12 Heisenberg quantum spin chain (XXX model), we estimate the contribution of the exact four-spinon dynamic structure factor S4 by calculating a number of sum rules the total dynamic structure factor S is known to satisfy exactly. These sum rules are: the static susceptibility, the integrated intensity, the total integrated intensity, the first frequency moment and the nearest-neighbor correlation function. We find that the contribution of S4 is between 1% and 2.5%, depending on the sum rule, whereas the contribution of the exact two-spinon dynamic structure factor S2 is between 70% and 75%. The calculations are numerical and Monte Carlo based. Good statistics are obtained.

Original languageEnglish
Pages (from-to)196-208
Number of pages13
JournalPhysica B: Condensed Matter
Volume369
Issue number1-4
DOIs
Publication statusPublished - Dec 1 2005

Keywords

  • Antiferromagnetic Heisenberg spin chain
  • Exact dynamic structure function
  • Sum rules

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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