The Kohn Sham Equation For Deformed Crystals

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The Kohn-Sham Equation for Deformed Crystals

The Kohn-Sham Equation for Deformed Crystals
Author :
Publisher : American Mathematical Soc.
Total Pages : 109
Release :
ISBN-10 : 9780821875605
ISBN-13 : 0821875604
Rating : 4/5 (604 Downloads)

Book Synopsis The Kohn-Sham Equation for Deformed Crystals by : Weinan E

Download or read book The Kohn-Sham Equation for Deformed Crystals written by Weinan E and published by American Mathematical Soc.. This book was released on 2013-01-25 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solution to the Kohn-Sham equation in the density functional theory of the quantum many-body problem is studied in the context of the electronic structure of smoothly deformed macroscopic crystals. An analog of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure of the deformed crystal under the following physical conditions: (1) the band structure of the undeformed crystal has a gap, i.e. the crystal is an insulator, (2) the charge density waves are stable, and (3) the macroscopic dielectric tensor is positive definite. The effective equation governing the piezoelectric effect of a material is rigorously derived. Along the way, the authors also establish a number of fundamental properties of the Kohn-Sham map.


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