The elastic continuum limit of the tight binding model

E. Weinan, Jianfeng Lu

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

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
Volume28
Issue number6
DOIs
StatePublished - Dec 1 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

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

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