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Physics - Atomic, Molecular, Optical & Plasma Physics | Optical Absorption Spectra Calculated Using Linear-Scaling Density-Functional Theory

Optical Absorption Spectra Calculated Using Linear-Scaling Density-Functional Theory

Series: Springer Theses

Ratcliff, Laura

2013, XI, 116 p. 37 illus., 24 illus. in color.

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  • Nominated as an outstanding Ph.D. thesis by Imperial College London
  • Awarded the Thomas Young Centre Imperial prize for 'the most important and innovative contribution to research in the theory and simulation of materials'  
  • Describes a method for optimizing localized basis functions to accurately represent unoccupied states
  • Combines linear-scaling density-functional theory with theoretical spectroscopy to allow ab initio spectroscopy calculations of very large systems
The development of linear-scaling density functional theory (LS-DFT) has made ab initio calculations on systems containing thousands of atoms possible. These systems range from nanostructures to biomolecules. These methods rely on the use of localized basis sets, which are optimised for the representation of occupied Kohn-Sham states but do not guarantee an accurate representation of the unoccupied states.  This is problematic if one wishes to combine the power of LS-DFT with that of theoretical spectroscopy, which provides a direct link between simulation and experiment.  In this work a new method is presented for optimizing localized functions to accurately represent the unoccupied states, thus allowing theoretical spectroscopy of large systems. Results are presented for optical absorption spectra calculated using the ONETEP code, but the method is equally applicable to other spectroscopies and LS formulations. Other topics covered include a study of some simple one dimensional basis sets and the presentation of two methods for band structure calculation using localized basis sets, both of which have important implications for the use of localized basis sets within LS-DFT.

Content Level » Research

Keywords » Absorption Spectra for Large Electronic Systems - Band Structure Calcuation - Kohn-Sham States - LS-DFT - Linear-scaling Density Functional Theory - Localized States in DFT - ONETEP Code - Spectroscopy Theory and Models - Theoretical Spectroscopy - Toy Model for Unoccupied States

Related subjects » Atomic, Molecular, Optical & Plasma Physics - Materials - Optics & Lasers

Table of contents 

Density Functional Theory.- Linear-Scaling Methods.- Theoretical Spectroscopy.- Basis Sets and Band Structures.- Conduction States: Methods and Applications.- Results and Discussion.

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