Quantized transport, strain-induced perfectly conducting modes and valley filtering on shape-optimized graphene Corbino devices

Abstract

The extreme mechanical resilience of graphene and the peculiar coupling it hosts between lattice and electronic degrees of freedom have spawned a strong impetus towards strain-engineered graphene where, on the one hand, strain augments the richness of its phenomenology and makes possible new concepts for electronic devices and, on the other hand, new and extreme physics might take place. Here, we demonstrate that the shape of substrates supporting graphene sheets can be optimized for approachable experiments where strain-induced pseudomagnetic fields (PMF) can be tailored by pressure for directionally selective electronic transmission and pinching-off of current flow down to the quantum channel limit. The Corbino-type layout explored here furthermore allows filtering of charge carriers according to valley and current direction, which can be used to inject or collect valley-polarized currents, thus realizing one of the basic elements required for valleytronics. Our results are based on a framework developed to realistically determine the combination of strain, external parameters, and geometry optimally compatible with the target spatial profile of a desired physical property --- the PMF in this case. Characteristic conductance profiles are analyzed through quantum transport calculations on large graphene devices having the optimal shape.

5+7 figures. Supporting information included

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• Electron dynamics in strained graphene
• Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
• Correlated states of a triangular net of coupled quantum wires: Implications for the phase diagram of marginally twisted bilayer graphene
• Tuning transport properties on graphene multi-terminal structures by mechanical deformations
• Reverse strain-induced snake states in graphene nanoribbons
• Graphene disk in a solenoid magnetic potential: Aharonov-Bohm effect without a two-slit-like setup
• Inverse Design of a Graphene-Based Quantum Transducer via Neuroevolution
• Fingerprints of a position-dependent Fermi velocity on scanning tunnelling spectra of strained graphene
• Switching valley filtered current directions in multi-terminal graphene systems
• Transport through dynamic pseudo-gauge fields and snake states in a Corbino geometry
• Effective tunnel conductance and effective ac conductivity of randomly strained graphene
• Tunneling Effect in Gapped Graphene Disk in Magnetic Flux and Electrostatic Potential