# Analytic approach to magneto-strain tuning of electronic transport through a graphene nanobubble: Perspectives for a strain sensor

## TL;DR

This paper presents an analytical model for electronic transport in graphene nanobubbles, demonstrating how magnetic fields and strain can be used to control valley polarization and develop strain sensors.

## Contribution

It provides exact solutions for scattering and conductance in strained graphene with magnetic fields, enabling strain measurement via conductance experiments.

## Key findings

- Magnetic field and strain induce valley polarization.
- Analytical expressions for scattering cross-section and conductance.
- Strain can be measured through conductance under magnetic control.

## Abstract

We consider the scattering of Dirac particles in graphene due to the superposition of an external magnetic field and mechanical strain. As a model for a graphene nanobubble, we find exact analytical solutions for single-particle states inside and outside a circular region submitted to the fields. Finally, we obtain analytical expressions for the scattering cross-section, as well as for the Landauer current through the circular region. Our results provide a fully-analytical treatment for electronic transport through a graphene nanobubble, showing that a combination of a physical magnetic field and strain leads to valley polarization and filtering of the electronic current. Moreover, our analytical model provides an explicit metrology principle to measure strain by performing conductance experiments under a controlled magnetic field imposed over the sample.