Density Functional Theory for Quantum Freezing: The Wigner Crystallization in A2d Electron System
Exploring the Thermodynamics and Crystal Structures of A2d Electron Systems using Density Functional Theory
by Amit Yadav*, Vandana Yadav,
- Published in Journal of Advances and Scholarly Researches in Allied Education, E-ISSN: 2230-7540
Volume 16, Issue No. 4, Mar 2019, Pages 1841 - 1846 (6)
Published by: Ignited Minds Journals
ABSTRACT
The density functional theory (DFT) is based on an exact correspondence between equilibrium one-particle densities and external potentials [10]. If we denote by n(r) the one-particle density of the system, the system can be characterized by an appropriate thermodynamic potential which attains its minimum [11] value for the correct (equilibrium) density n0(r). For the study of crystallization, the relevant thermodynamic potentials are the grand potential Ω and the intrinsic Helmholtz free energy F, the latter being a unique functional of the one–particle density.
KEYWORD
Density Functional Theory, Quantum Freezing, Wigner Crystallization, A2d Electron System, thermodynamic potential, equilibrium, one-particle densities, external potentials, crystallization
