Dynamical mean field study of the Mott transition in the half-filled Hubbard model on a triangular lattice

TL;DR

This study uses dynamical mean field theory with Quantum Monte Carlo to analyze the finite temperature Mott transition in the half-filled Hubbard model on a triangular lattice, estimating the critical interaction strength and comparing computational methods.

Contribution

It provides a detailed DMFT analysis of the Mott transition on a triangular lattice and compares DMFT with finite size DQMC methods, highlighting their respective advantages and limitations.

Findings

Critical interaction Uc ≈ 12.0 ± 0.5 t

Spectral function and magnetic moment evolution

Comparison of DMFT and DQMC results

Abstract

We employ dynamical mean field theory (DMFT) with a Quantum Monte Carlo (QMC) atomic solver to investigate the finite temperature Mott transition in the Hubbard model with the nearest neighbor hopping on a triangular lattice at half-filling. We estimate the value of the critical interaction to be $U_c=12.0 \pm 0.5$ in units of the hopping amplitude $t$ through the evolution of the magnetic moment, spectral function, internal energy and specific heat as the interaction $U$ and temperature $T$ are varied. This work also presents a comparison between DMFT and finite size determinant Quantum Monte Carlo (DQMC) and a discussion of the advantages and limitations of both methods.