# Doping-dependent competition between superconductivity and polycrystalline charge density waves

## TL;DR

This study maps the phase diagram of La$_{2-x}$Sr$_x$CuO$_{4}$ thin films, revealing a doping-dependent competition between charge density waves and superconductivity, with coexistence at specific doping levels and suppression of charge order at higher doping.

## Contribution

It provides the first detailed experimental phase diagram showing doping-dependent competition and coexistence of charge density waves and superconductivity in this material.

## Key findings

- Charge density waves and superconductivity compete across doping levels 0.08 to 0.19.
- Superconductivity persists under strong magnetic fields around x≈0.09 and x≈0.19.
- Charge density wave onset temperature vanishes above x=0.19.

## Abstract

From systematic analysis of the high pulsed magnetic field resistance data of La$_{2-x}$Sr$_x$CuO$_{4}$ thin films, we extract an experimental phase diagram for several doping values ranging from the very underdoped to the very overdoped regimes. Our analysis highlights a competition between charge density waves and superconductivity which is ubiquitous between $x=0.08$ and $x=0.19$ and produces the previously observed double step transition. When suppressed by a strong magnetic field, superconductivity is resilient for two specific doping ranges centered around respectively $x\approx 0.09$ and $x\approx 0.19$ and the characteristic temperature for the onset of the competing charge density wave phase is found to vanish above $x = 0.19$. At $x=1/8$ the two phases are found to coexist exactly at zero magnetic field.