The Elastic Continuum Limit of the Tight Binding Model*

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.

Keywords

Continuum limit / Elasticity theory / Cauchy-Born rule / Tight binding model / 74B20 / 35Q72

References

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