Bond alternation in ring-shaped molecules: The stability of the peierls instability

Elliott Lieb, Bruno Nachtergaele

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We investigate the phenomenon of bond alternation in ring molecules of the type (CH)2n, which occurs due to the Peierls instability. We prove that the energy-minimizing configuration of bond lengths always has period two when n is odd. When n is even, a new instability may destroy the periodicity two as long as n is not too large. We also analyze the corresponding problem for the Heisenberg antiferromagnetic "spin-Peierls" system and prove that instabilities other than period two never occur there.

Original languageEnglish (US)
Pages (from-to)699-706
Number of pages8
JournalInternational Journal of Quantum Chemistry
Volume58
Issue number6
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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