# Enhancement of the upper critical field in disordered transition metal dichalcogenide monolayers

## TL;DR

This paper investigates how impurities affect the superconducting phase diagram of transition metal dichalcogenide monolayers under in-plane magnetic fields, revealing that strong spin-orbit coupling enhances the upper critical field beyond the Pauli limit, with impurity effects depending on scattering types.

## Contribution

It provides a detailed analysis of impurity effects on the upper critical field in disordered transition metal dichalcogenide monolayers, highlighting the roles of intravalley and intervalley scattering.

## Key findings

- Upper critical field exceeds Pauli limit at low temperatures due to spin-orbit coupling.
- Insensitivity of critical field to intravalley scattering.
- Critical field limited by intervalley scattering.

## Abstract

We calculate the effect of impurities on the superconducting phase diagram of transition metal dichalcogenide monolayers in the presence of an in-plane magnetic field. Due to strong intrinsic spin-orbit coupling, the upper critical field greatly surpasses the Pauli limit at low temperatures. We find that it is insensitive to intravalley scattering and, ultimately, limited by intervalley scattering.