Sum rules for the frequency spectrum of linear magnetic chains

P. C. Hohenberg, W. F. Brinkman

Research output: Contribution to journalArticlepeer-review

161 Scopus citations


Exact sum rules are obtained for the nearest-neighbor Heisenberg antiferromagnet and XY ferromagnet in one dimension. In the Heisenberg case the sum rules may be used to show that most of the spectral weight of the spin correlation function at small k and T=0 is concentrated near the frequency of the "des Cloizeaux-Pearson" states. In the XY case, the corresponding "Schultz-Lieb-Mattis" states only carry a negligible portion of the weight at small k.

Original languageEnglish (US)
Pages (from-to)128-131
Number of pages4
JournalPhysical Review B
Issue number1
StatePublished - 1974

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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