The elastic continuum limit of the tight binding model

DOI10.1007/s11401-006-0447-2zbMath1136.74003OpenAlexW2079282397MaRDI QIDQ926544

E. Weinan, Jian-feng Lu

Publication date: 20 May 2008

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-006-0447-2

zbMATH Keywords

large matricesCauchy-Born rulespectral perturbation theory

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Applications of quantum theory to specific physical systems (81V99) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (6)

Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model ⋮ The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule ⋮ Thermodynamic limit of crystal defects with finite temperature tight binding ⋮ QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model ⋮ The Kohn-Sham equation for deformed crystals ⋮ Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model

Cites Work

• Cauchy-Born rule and the stability of crystalline solids: Static problems
• The Thomas-Fermi theory of atoms, molecules and solids
• On some periodic Hartree-type models for crystals
• From molecular models to continuum mechanics
• The variation of the spectrum of a normal matrix
• HANS BETHE'S CONTRIBUTIONS TO SOLID-STATE PHYSICS
• On the thermodynamic limit for Hartree-Fock type models
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