The Elastic Continuum Limit of the Tight Binding Model*
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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.
KeywordsContinuum limit Elasticity theory Cauchy-Born rule Tight binding model
2000 MR Subject Classification74B20 35Q72
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