The Metal-Insulator Transition in the Hubbard Model at Zero Temperature II

TL;DR

This paper investigates the zero-temperature metal-insulator transition in the Hubbard model in infinite dimensions, demonstrating coexistence of phases and a second-order transition.

Contribution

It establishes the coexistence of metallic and insulating solutions and characterizes the transition as second order in the Hubbard model at zero temperature.

Findings

Coexistence of metallic and insulating solutions in a finite interaction range.

The metallic solution is energetically favored within the coexistence region.

The transition between phases is of second order.

Abstract

We study the metal-to-insulator transition of the Hubbard model at zero temperatures in infinite dimensions. The coexistence of metallic and insulating solutions for a finite range of the interaction is established. It is shown that the metallic solution is lower in energy for any interaction in the coexistence region and that the transition is of second order.