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

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.

V2 19 pages, 8 figures, 34 references. Title changed, expanded discussion and a new conclusions and summary section. Version accepted for publication in the Journal of Physics: Condensed Matter

References in corpus (9)

• The electronic properties of graphene
• Colloquium: The transport properties of graphene: An introduction
• Midgap states and charge inhomogeneities in corrugated graphene
• Graphene as an electronic membrane
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Resonant modes in strain-induced graphene superlattices
• Magneto-strain-driven quantum engine on a graphene flake
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene

Cited by in corpus (13)

• Local versus extended deformed graphene geometries for valley filtering
• Quantum Hall response to time-dependent strain gradients in graphene
• Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals
• Electron dynamics in strained graphene
• Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
• Electronic transport in torsional strained Weyl semimetals
• Thermoelectric transport in torsional strained Weyl semimetals
• Valley filters, accumulators, and switches induced in graphene quantum dots by lines of adsorbed hydrogen atoms
• Taylor series of Landauer conductance
• Thermoelectric transport in graphene under strain fields modeled by Dirac oscillators
• Electromagnetic coupling and transport in a topological insulator-graphene hetero-structure
• Mode-Resolved Multiband Ballistic Transport and Conductance Thresholds in Bilayer Graphene Junctions
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal