Electronic structure of smoothly deformed crystals: Cauchy‐born rule for the nonlinear tight‐binding model

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. © 2010 Wiley Periodicals, Inc.

Duke Scholars

Author Jianfeng Lu Mathematics