Interacting Dirac Fermions on Honeycomb Lattice

TL;DR

This paper explores how non-local correlations influence the Mott transition of interacting Dirac fermions on a honeycomb lattice, using advanced simulation techniques, and proposes an experimental observation method with ultracold atoms.

Contribution

It introduces a new understanding of the semimetal-Mott insulator transition by emphasizing the importance of non-local correlations beyond previous DMFT studies.

Findings

Non-local correlations are crucial for the Mott transition.

A novel transition scenario is identified.

Experimental protocols for ultracold atoms are proposed.

Abstract

We investigate the interacting Dirac fermions on honeycomb lattice by cluster dynamical mean-field theory (CDMFT) combined with continuous time quantum Monte Carlo simulation (CTQMC). A novel scenario for the semimetal-Mott insulator transition of the interacting Dirac fermions is found beyond the previous DMFT studies. We demonstrate that the non-local spatial correlations play a vital role in the Mott transition on the honeycomb lattice. We also elaborate the experimental protocol to observe this phase transition by the ultracold atoms on optical honeycomb lattice.