Publications [#243766] of Jianfeng Lu

Papers Published

1. E, W; Lu, J, Electronic structure of smoothly deformed crystals: Cauchy‐born rule for the nonlinear tight‐binding model, Communications on Pure and Applied Mathematics, vol. 63 no. 11 (November, 2010), pp. 1432-1468, Wiley, ISSN 0010-3640 [doi]
   (last updated on 2026/01/14)

   Abstract:
   AbstractThe 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.