A First-Principles Approach to Insulators in Finite Electric Fields
Ivo Souza, Jorge Iniguez, David Vanderbilt
Abstract
We describe a method for computing the response of an insulator to a static, homogeneous electric field. It consists of iteratively minimizing an electric enthalpy functional expressed in terms of occupied Bloch-like states on a uniform grid of k points. The functional has equivalent local minima below a critical field Ec that depends inversely on the density of k points; the disappearance of the minima at Ec signals the onset of Zener breakdown. We illustrate the procedure by computing the piezoelectric and nonlinear dielectric susceptibility tensors of III-V semiconductors.
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