Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study

TL;DR

This study uses quantum Monte Carlo simulations to explore magnetic properties of SU(4) and SU(6) Hubbard models on a 2D square lattice, revealing antiferromagnetic order and the effects of quantum fluctuations.

Contribution

It provides the first sign-problem-free quantum Monte Carlo analysis of SU(4) and SU(6) Hubbard models on a square lattice, highlighting magnetic order differences.

Findings

SU(4) exhibits long-range antiferromagnetic order with a small residual Neel moment.

Quantum fluctuations are stronger in the SU(6) case, weakening magnetic order.

Results suggest possible vanishing or very weak Neel order in SU(6).

Abstract

We employ the determinant projector quantum Monte-Carlo method to investigate the ground state magnetic properties in the Mott insulating states of the half-filled SU(4) and SU(6) Fermi-Hubbard model in the 2D square lattice, which is free of the sign problem. The long-range antiferromagnetic Neel order is found for the SU(4) case with a small residual Neel moment. Quantum fluctuations are even stronger in the SU(6) case. Numeric results are consistent with either a vanishing or even weaker Neel ordering than that of SU(4).