arXiv:2102.12904 · Physical Review X

Mott Insulating States with Competing Orders in the Triangular Lattice Hubbard Model

Alexander Wietek, Riccardo Rossi, Fedor Šimkovic, Marcel Klett, P. Hansmann, Michel Ferrero, Edwin Miles Stoudenmire, Thomas Schäfer, Antoine Georges

Published Oct 19, 2021• 104 citations

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Abstract

Interacting electrons on triangular lattice structures arrange themselves in various competing magnetic and possible topological orders, leading to paradoxical electron localization as temperature increases.

DOI: 10.1103/physrevx.11.041013

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arXiv:2102.12904 · Physical Review X

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Abstract

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(π, π)

and

(2π/3, 2π/3)

structures. It is shown that a non-magnetic Mott insulating state is not realized as the ground state, in the present framework, but as a meta-stable state near the magnetically ordered phase with

(2π/3, 2π/3)

structure.

U_{\rm c} \sim 7.4t

, where t is the transfer integral. A detailed analysis around the transition point shows that the Mott transition is of first order.

We consider the fermionic

\mathrm{SU}(3)

Hubbard model on the triangular lattice at

1/3

filling in the presence of a three-sublattice staggered potential which provides the possibility to investigate the competition of charge and magnetic order in three-component systems. We show that, depending on the strength of the staggered potential $\mathrm{\ensuremath{\Delta}}$, the Hubbard interaction

U

destabilizes the band insulator at small

U

into the Mott insulator at large

U

in three different ways with different intermediate phases. This leads to a rich phase diagram in the $U\text{\ensuremath{-}}\mathrm{\ensuremath{\Delta}}$ plane. Our results indicate that multicomponent systems show not only exotic states in the Mott regime as has been considered previously, but also interesting competition between charge and magnetic orders which can lead to the emergence of charge-ordered magnetic insulators and charge-ordered magnetic metals.