The elastic continuum limit of the tight binding model

E. Weinan, Jianfeng Lu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The authors consider the simplest quantum mechanics model of solids, the tight binding model, and prove that in the continuum limit, the energy of tight binding model converges to that of the continuum elasticity model obtained using Cauchy-Born rule. The technique in this paper is based mainly on spectral perturbation theory for large matrices.

Original languageEnglish (US)
Pages (from-to)665-676
Number of pages12
JournalChinese Annals of Mathematics. Series B
Issue number6
StatePublished - Dec 2007

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


  • Cauchy-born rule
  • Continuum limit
  • Elasticity theory
  • Tight binding model


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