The electronic structure of a smoothly deformed crystal is analyzed using a minimalist model in quantum many-body theory, the nonlinear tight-binding model. An extension of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure under sharp stability conditions. A nonlinear elasticity model is rigorously derived. The onset of instability is briefly examined.
|Original language||English (US)|
|Number of pages||37|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Nov 2010|
All Science Journal Classification (ASJC) codes
- Applied Mathematics