The Mott-Hubbard metal-insulator transition in the limit of large dimensions—Insights and outlook

Abstract

The Mott-Hubbard metal-insulator transition is one of the classical and fundamental problems in solid-state physics. A new theoretical approach has become possible within the limit of large dimensions (dynamical mean field theory). Numerous analytical and numerical techniques have since addressed the question of the d=∞ Mott-Hubbard transition. However, the nature of this transition is still controversial. In this paper a brief account is presented of some of the recent results regarding the d=∞ Mott-Hubbard transition.