Site-resolved observables in the doped spin-imbalanced triangular Hubbard model

TL;DR

This paper investigates the properties of the doped spin-imbalanced triangular Hubbard model using a Numerical Linked-Cluster Expansion, revealing critical interaction points and features relevant for ultracold atom experiments and quantum phase exploration.

Contribution

It introduces a detailed analysis of the doped and imbalanced triangular Hubbard model using NLCE, providing new insights into the Mott transition and correlation functions relevant for experiments.

Findings

Critical interaction for Mott transition: Uc/t = 7.0(2)

Correlation functions reveal features at experimentally accessible temperatures

Results aid in thermometry and exploration of exotic phases in ultracold atom systems

Abstract

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the simplest frustrated lattice geometries, a triangular lattice. Motivated by the recent realization of ultracold fermionic atoms in triangular optical lattices, we study the properties of the triangular-lattice Hubbard model through a Numerical Linked-Cluster Expansion algorithm. We investigate the Mott insulator transition finding a critical interaction $U_c/t = 7.0(2)$ and use spatial two- and three-point correlation functions to explore doped and imbalanced systems. Our results demonstrate that many interesting features occur at temperatures previously obtained for ultracold fermions in optical lattices and are accessible by upcoming experiments. Our calculations will be helpful for thermometry in ultracold atom quantum simulators and can guide experimental searches for exotic quantum phases in atomic triangular Hubbard quantum simulators.