Fingerprints of a charge ice state in the doped Mott insulator Nb$_3$Cl$_8$

TL;DR

This paper predicts a charge ice state in doped monolayer Nb$_3$Cl$_8$, characterized by phase separation and distinctive charge susceptibility features, revealing complex electronic correlations in a frustrated triangular lattice Mott insulator.

Contribution

It introduces the concept of a charge ice state in a doped triangular lattice Mott insulator and links it to observable charge susceptibility signatures.

Findings

Phase separation region upon doping

Distinctive bow-tie structure in charge susceptibility

Charge ice state with power-law correlations

Abstract

The interplay between strong electronic correlations and the inherent frustration of certain lattice geometries is a common mechanism for the formation of nontrivial states of matter. In this work, we theoretically explore the collective electronic effects in the monolayer Nb$_3$Cl$_8$, a recently discovered triangular lattice Mott insulator. Our advanced many-body numerical simulations predict the emergence of a phase separation region upon doping this material. Notably, in close proximity to the phase separation, the static charge susceptibility undergoes a drastic change and reveals a distinctive bow-tie structure in momentum space. The appearance of such a fingerprint in the context of spin degrees of freedom would indicate the formation of a spin ice state. This finding allows us to associate the observed phase separation to a charge ice state, a state with a remarkable power law dependence of both the effective exchange interaction and correlations between electronic densities in real space.