Anomalous scaling and breakdown of conventional density functional theory methods for the description of Mott phenomena and stretched bonds

作者：Ying Zu Jian^*; Brosco Valentina; Lopez Giorgia Maria; Varsano Daniele; Gori Giorgi Paola; Lorenzana Jose

来源：Physical Review B, 2016, 94(7): 075154.

DOI：10.1103/PhysRevB.94.075154

Density functional theory provides the most widespread framework for the realistic description of the electronic structure of solids, but the description of strongly correlated systems has remained so far elusive. We consider a particular limit of electrons and ions in which a one-band description becomes exact all the way from the weakly correlated metallic regime to the strongly correlated Mott-Hubbard regime. We provide a necessary condition a density functional should fulfill to describe Mott-Hubbard behavior in this one-band limit and show that it is not satisfied by standard and widely used local, semilocal, and hybrid functionals. We illustrate the condition in the case of few-atom systems and provide an analytic approximation to the exact exchange-correlation potential based on a variational wave function which shows explicitly the correct behavior, combining in a neat way lattice and continuum methods.

• 出版日期2016-8-29
• 单位北京计算科学研究中心