Scalable tight-binding model for strained graphene

Abstract

We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is readily applicable to strained graphene, provided that the displacement fields corresponding to the deformed graphene lattice are properly scaled. In particular, we show that the long-wavelength theory remains invariant when the strain tensor is scaled by $s$. This is achieved in practice by scaling the in-plane displacement fields by $s$ while the out-of-plane displacements have to be scaled by $\sqrt{s}$. We confirm these scaling laws by extensive numerical simulations, starting with the pseudomagnetic field and the local density of states for different scaled lattices. The latter allows us to study pseudo-Landau levels as well as hybrid Landau levels in the presence of an external magnetic field. Finally, we consider quantum transport simulations motivated by a recent experiment, where a uniaxial strain barrier is engineered in monolayer graphene by vertically misaligned gates. Our work generalizes the scalable tight-binding model to allow for efficient modeling of quantum transport in large-scale strained graphene devices.

13 pages, 7 figures; published version

References in corpus (43)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• A tight-binding approach to uniaxial strain in graphene
• Kwant: a software package for quantum transport
• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
• Gauge fields in graphene
• Graphene: new bridge between condensed matter physics and quantum electrodynamics
• Novel effects of strains in graphene and other two dimensional materials
• Generating quantizing pseudomagnetic fields by bending graphene ribbons
• Graphene as an electronic membrane
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Visualizing Strain-induced Pseudo magnetic Fields in Graphene through an hBN Magnifying Glass
• Gaps tunable by electrostatic gates in strained graphene
• Programmable Extreme Pseudomagnetic Fields in Graphene by a Uniaxial Stretch
• Zero-magnetic-field Hall effects in artificially corrugated bilayer graphene
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Programming moiré patterns in 2D materials by bending
• Graphenes flakes under controlled biaxial deformation
• Scalable Tight-Binding Model for Graphene
• Room temperature strain-induced Landau levels in graphene on a wafer-scale platform
• Current splitting and valley polarization in elastically deformed graphene
• Strained fold assisted transport in graphene systems
• Pseudomagnetic fields and triaxial strain in graphene
• Strain controlled valley filtering in multi-terminal graphene structures
• Pseudo-magnetic field-induced ultra-slow carrier dynamics in periodically strained graphene
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Electronic states in a graphene flake strained by a Gaussian bump
• Band flattening in buckled monolayer graphene
• Pseudo-magnetic fields, particle-hole asymmetry, and microscopic effective continuum Hamitonians of twisted bilayer graphene
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• All-strain based valley filter in graphene nanoribbons using snake states
• Mobility enhancement in graphene by in situ reduction of random strain fluctuations
• Propagating edge states in strained honeycomb lattices
• Imaging de Haas-van Alphen quantum oscillations and milli-Tesla pseudomagnetic fields
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Reverse strain-induced snake states in graphene nanoribbons
• Gate-tunable Veselago Interference in a Bipolar Graphene Microcavity
• Mechanical control of quantum transport in graphene
• Strain field in graphene induced by nanopillar mesh
• Elastic Screening of Pseudogauge Fields in Graphene
• Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide