Mott transitions in the half-filled SU(2M) symmetric Hubbard model

TL;DR

This paper investigates the Mott transition in the half-filled SU(2M) symmetric Hubbard model with up to 8 bands, using dynamical mean-field theory and quantum Monte Carlo, establishing scaling laws for phase boundaries.

Contribution

It provides the first comprehensive analysis of the SU(2M) Hubbard model's phase diagram for large M, deriving accurate scaling laws for the Mott transition boundaries.

Findings

Established scaling laws for phase boundaries at arbitrary M

Computed static properties for up to 8 bands

Validated phase transition predictions with high accuracy

Abstract

The Hubbard model with large orbital degeneracy has recently gained relevance in the context of ultracold earth alkali like atoms. We compute its static properties in the SU(2M) symmetric limit for up to M=8 bands at half filling within dynamical mean-field theory, using the numerically exact multigrid Hirsch-Fye quantum Monte Carlo approach. Based on this unbiased data, we establish scaling laws which predict the phase boundaries of the paramagnetic Mott metal-insulator transition at arbitrary orbital degeneracy M with high accuracy.