𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Metal–Insulator Transition and Lifshits Instability in the Hubbard Model

✍ Scribed by W. Weller

Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
552 KB
Volume
54
Category
Article
ISSN
0370-1972

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The metal–insulator transition (Mott transition) in the Hubbard model for a half‐filled narrow band is considered by means of the functional integral method. The functional integral is calculated in the static approximation. Higher‐order fluctuations in the exponent of the functional integral are neglected, and a self‐consistent approximation scheme analogous to the coherent potential approximation is used. An instability in the free energy leading to a first order transition is obtained. This instability corresponds to the instability studied by Lifshits in connection with the passing of an energy branch through the Fermi energy.

📜 SIMILAR VOLUMES

Metal-insulator transitions in generaliz
Metal-insulator transitions in generalized Hubbard models
✍ Erik Koch; Olle Gunnarsson; Richard M. Martin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 118 KB

We study the Mott transition in Hubbard models with a degenerate band on different 3-dimensional lattices. While for a non-degenerate band only the half-filled system may exhibit a Mott transition, with degeneracy there can be a transition for any integer filling. We analyze the filling dependence o