Carvajal Rivero, Miguel A. (2017) Implementación de la funcional de intercambio exacto con la aproximación de KLI en el quantum espresso. / Implementation of the exact exchange funtional with the KLI aproximation on quantum espresso. Maestría en Ciencias Físicas, Universidad Nacional de Cuyo, Instituto Balseiro.
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Resumen en español
En este trabajo presentamos una implementación númerica de la aproximación de KLI a la funcional de OEP para evaluar el intercambio exacto (EXX) en el marco de la teora de la funcional densidad. Con este fin implementamos un programa para calcular la estructura electronica en su estado fundamental para sistemas atomicos usando DFT. Discutimos los aspectos fundamentales de la implementacion y presentamos los resultados obtenidos para el hidrogeno y el helio. Posteriormente discutimos los aspectos generales del calculo en solidos cristalinos y presentamos dos metodos: el metodo de ondas planas aumentadas (APW) y el metodo de pseudopotenciales semiempricos (EPM). Estos fueron aplicados al cobre y al silicio respectivamente para obtener su estructura de bandas, encontrandose que los resultados obtenidos reproducen correctamente los valores reportados en la literatura. Luego presentamos formalmente el metodo de OEP y en particular la aproximacion de KLI, sus propiedades fundamentales y las ventajas sobre las funcionales tradicionales. Implementamos dentro del programa atomic la funcional de KLI y la aplicamos con exito al calculo del estado fundamental de los atomos mas ligeros de la tabla periodica, incluyendo aquellos con capas semillenas. Finalmente presentamos una implementacion de KLI en el programa pw.x basada en ondas planas y pseudopotenciales, vericandose que se obtuvo el comportamiento correcto al tratar sistemas con numero de electrones fraccionario. Aplicamos la funcional de KLI para el estudio de la disociacion de la molecula de H_2, encontrandose una mejora sustancial con respecto a las funcionales tradicionales.
Resumen en inglés
In this work, we present a numerical implementation of the KLI aproximation to the optimized effective potential method (OEP) to evaluate the exact exchange in the frame of density functional theory (DFT). With this purpose, we implemented a program to compute the ground state of atomic systems usind DFT. We discuss the fudamental aspects of the implementation and present the results we obtained for the hidrogen and helium atoms. Then, we discuss the general aspects of the computations in crystaline solids and periodic systems and we present two fundamental methods: the augmented plane waves method and the empirical pseudopotential method (EPM).We apply those methods to the calculation of band structure of copper and silicon and we show that the results obtained match the one reported in the literature. Later, we present the OEP method formaly and the KLI aproximation, the fundamental properties and the advantages to traditionals functionals. We implemented inside the atomic program the KLI functional and applied it to the calculation of the ground state of the lightest atoms on the periodic table, including those with semilled subshells. Finally, we present an implementation of the KLI functional in the program pw.x based on plane waves and pseudopotentials, finding the correct behavior for systems with fractional electronic occupancy. We applied this program to the study of the disociation of the H_2 molecule founding a substantial improvement over traditional functionals.
| Tipo de objeto: | Tesis (Maestría en Ciencias Físicas) |
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| Palabras Clave: | Fortran; Fortran; Solids; Sólidos; [Atomic structure; Estructura atómica; Density functional theory; Kohn-Sham equations; Ecuación de Kohn-Sham; Condensed nater; Materia condensada] |
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| Materias: | Física > Materia condensada |
| Divisiones: | Gcia. de área de Investigación y aplicaciones no nucleares > Gcia. de Física > Materia condensada > Teoría de sólidos |
| Código ID: | 682 |
| Depositado Por: | Tamara Cárcamo |
| Depositado En: | 28 May 2018 13:55 |
| Última Modificación: | 28 May 2018 13:55 |
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