Transport Anisotropy in One-dimensional Graphene Superlattice in the High Kronig-Penney Potential Limit

Abstract

One-dimensional graphene superlattice subjected to strong Kronig-Penney (KP) potential is promising for achieving electron lensing effect, while previous studies utilizing the modulated dielectric gates can only yield a moderate, spatially dispersed potential profile. Here, we realize high KP potential modulation of graphene via nanoscale ferroelectric domain gating. Graphene transistors are fabricated on PbZr${}_{0.2}$Ti${}_{0.8}$O${}_3$ back-gates patterned with periodic, 100-200 nm wide stripe domains. Due to band reconstruction, the h-BN top-gating induces satellite Dirac points in samples with current along the superlattice vector $\hat{s}$, a feature absent in samples with current perpendicular to $\hat{s}$. The satellite Dirac point position scales with the superlattice period ($L$) as $\propto L^{\beta }$, with $\beta =-1.18\pm 0.06$. These results can be well explained by the high KP potential scenario, with the Fermi velocity perpendicular to $\hat{s}$ quenched to about 1% of that for pristine graphene. Our study presents a promising material platform for realizing electron supercollimation and investigating flat band phenomena.

arXiv comment12 pages, 5 figures, and Supplemental Material

References in corpus (32)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Cloning of Dirac fermions in graphene superlattices
• Stacking-engineered ferroelectricity in bilayer boron nitride
• Interfacial Ferroelectricity by van-der-Waals Sliding
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Electron optics with ballistic graphene junctions
• Electron Beam Supercollimation in Graphene Superlattices
• Extra Dirac points in the energy spectrum for superlattices on single-layer graphene
• Gate-controlled non-volatile graphene-ferroelectric memory
• Emerging Zero Modes for Graphene in a Periodic Potential
• Band Structure Engineering of 2D Materials using Patterned Dielectric Superlattices
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Dry release transfer of graphene and few-layer h-BN by utilizing thermoplasticity of polypropylene carbonate for fabricating edge-contact-free van der Waals heterostructures
• Dirac electrons in a Kronig-Penney potential: dispersion relation and transmission periodic in the strength of the barriers
• Transport and localization in periodic and disordered graphene superlattices
• Anisotropic band flattening in graphene with 1D superlattices
• Tunable Superlattice in Graphene To Control the Number of Dirac Points
• Conductance of disordered graphene superlattice
• Single-layer and bilayer graphene superlattices: collimation, additional Dirac points and Dirac lines
• Ferroelectric Domain Patterning Controlled Schottky Junction State in Monolayer MoS${}_2$
• Superlattices based on van der Waals 2D materials
• Electron supercollimation in graphene and Dirac fermion materials using one-dimensional disorder potentials
• Giant Transport Anisotropy in ReS${}_2$ Revealed via Nanoscale Conducting Path Control
• Two-dimensional Dirac fermions in a mass superlattice
• Remote Surface Optical Phonon Scattering in Ferroelectric Ba${}_{0.6}$Sr${}_{0.4}$TiO${}_3$ Gated Graphene

Cited by in corpus (6)

• Anisotropic effects in two-dimensional materials
• Understanding Disorder in Monolayer Graphene Devices with Gate-Defined Superlattices
• Nanoscale ferroelectric programming of van der Waals heterostructures
• Relativistic particles in super-periodic potentials: exploring graphene and fractal systems
• One-dimensional Lieb superlattices: from the discrete to the continuum limit
• Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices