# Emergent charge order near the doping-induced Mott-insulating quantum   phase transition in Sr$_{3}$Ru$_{2}$O$_{7}$

**Authors:** Justin Leshen, Mariam Kavai, Ioannis Giannakis, Yoshio Kaneko, Yoshi, Tokura, Shantanu Mukherjee, Wei-Cheng Lee, and Pegor Aynajian

arXiv: 1812.02881 · 2019-07-09

## TL;DR

This study reveals how doping induces a Mott-insulating state and emergent charge order in Sr$_{3}$Ru$_{2}$O$_{7}$, highlighting universal features of doped Mott insulators through spectroscopic imaging.

## Contribution

First direct visualization of charge order emergence near a doping-induced Mott transition in Sr$_{3}$Ru$_{2}$O$_{7}$ using STM.

## Key findings

- Partial gap develops with doping indicating Mott insulating state.
- Spatial charge order forms near the quantum phase transition.
- Charge order resembles that in cuprate pseudogap phases.

## Abstract

We investigate the double layered Sr$_{3}$(Ru$_{1-x}$Mn$_{x}$)$_{2}$O$_{7}$ and its doping-induced quantum phase transition (QPT) from a metal to an antiferromagnetic (AFM) Mott insulator. Using spectroscopic imaging with the scanning tunneling microscope (STM), we visualize the evolution of the electronic states in real- and momentum-space. We find a partial-gap in the tunneling density of states at the Fermi energy (E$_{F}$) that develops with doping to form a weak Mott insulating ({\Delta} ~ 100meV) state. Near the QPT, we discover a spatial electronic reorganization into a commensurate checkerboard charge order. These findings share some resemblance to the well-established universal charge order in the pseudogap phase of cuprates. Our experiments therefore demonstrate the ubiquity of the incipient charge order that emanates from doped Mott insulators.

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Source: https://tomesphere.com/paper/1812.02881