Unveiling the physics of the doped phase of the Kagome $t-J$ model

TL;DR

This paper explores the ground state of the doped Kagome $t-J$ model, revealing a novel 'Star of David' valence bond crystal phase resulting from a unique balance of spin and kinetic exchanges.

Contribution

It introduces a new phase of matter in the doped Kagome $t-J$ model characterized by a distinctive valence bond crystal structure.

Findings

Identification of a 'Star of David' valence bond crystal phase.

Particles prefer hopping in hexagons, spin exchange occurs on stars.

Relevance to real Kagome lattice compounds and impurity effects.

Abstract

We investigate the ground state properties of the Kagome lattice $t-J$ model at low doping. We propose a new state of matter. Our results suggest an interesting phase with a balance of spin-exchange and kinetic exchange through the building blocks of stars and their internal hexagons, being linked by triangles. The particles favor to hop in the hexagons, while the spin-exchange is taking place mainly on the stars. The combined effect leads to the formation of the "Star of David" valence bond crystal. We discuss our result in connection with static impurities, and show the likely relevance to the diluted Kagome lattice Heisenberg model, describing actual compounds.