Commensurate and incommensurate double moire interference in graphene encapsulated by hexagonal boron nitride

  title={Commensurate and incommensurate double moire interference in graphene encapsulated by hexagonal boron nitride},
  author={Nicolas Leconte and Jun Jung},
  journal={2D Materials},
Interference of double moire patterns of graphene (G) encapsulated by hexagonal boron nitride (BN) can alter the electronic structure features near the primary/secondary Dirac points and the electron-hole symmetry introduced by a single G/BN moire pattern depending on the relative stacking arrangements of the top/bottom BN layers. We show that strong interference effects are found in nearly aligned BN/G/BN and BN/G/NB and obtain the evolution of the associated density of states as a function of… 

Electron-hole asymmetry and band gaps of commensurate double moire patterns in twisted bilayer graphene on hexagonal boron nitride

Spontaneous orbital magnetism observed in twisted bilayer graphene (tBG) on nearly aligned hexagonal boron nitride (BN) substrate builds on top of the electronic structure resulting from combined G/G

Moir\'e Commensurability and the Quantum Anomalous Hall Effect in Twisted Bilayer Graphene on Hexagonal Boron Nitride.

The quantum anomalous Hall (QAH) effect is sometimes observed in twisted bilayer graphene (tBG) when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer. We propose that

Trigonal quasicrystalline states in [Formula: see text] rotated double moiré superlattices.

The resonant interaction is revealed, which is distinct from the conventional 2-, 3-, 4-wave mixing of moiré superlattices, that brings together and hybridizes twelve degenerate Bloch states of monolayer graphene.

Trigonal quasicrystalline states in rotated double moiré superlattices

We study the lattice configuration and electronic structure of a double moiré superlattice, which is composed of a graphene layer encapsulated by two other layers in a way such that the two hexagonal

Moiré band structures of the double twisted few-layer graphene

Very recently, unconventional superconductivity has been observed in the double twisted trilayer graphene (TLG), where three monolayer graphene (MLG) are stacked on top of each other with two twist

Twisted Trilayer Graphene: A Precisely Tunable Platform for Correlated Electrons.

It is demonstrated that the tTLG system exhibits a wide range of magic angles at which VHS merge and that the density of states has a sharp peak at the charge-neutrality point through two distinct mechanisms: the incommensurate perturbation of twisted bilayer graphene's flatbands or the equal hybridization between two bilayer moiré superlattices.

Fractal energy gaps and topological invariants in hBN/graphene/hBN double moiré systems

We calculate the electronic structure in quasiperiodic double-moiré systems of graphene sandwiched by hexagonal boron nitride, and identify the topological invariants of energy gaps. We find that the

Electric field tunable layer polarization in graphene/boron-nitride twisted quadrilayer superlattices

The recently observed unconventional ferroelectricity in AB bilayer graphene sandwiched by hexagonal Boron Nitride (hBN) presents a new platform to manipulate correlated phases in multilayered van

Moiré patterns and carbon nanotube sorting

Moiré patterns (MPs), arising from the superposition of two lattices with close periods, are tightly related to the physicochemical properties of bilayer nanostructures. Here, we develop the theory

Topological multiferroic order in twisted transition metal dichalcogenide bilayers

Layered van der Waals materials have risen as powerful platforms to artificially engineer correlated states of matter. Here we show the emergence of a multiferroic order in a twisted dichalcogenide



Double moiré with a twist: super-moiré in encapsulated graphene.

This work is able to distinguish effects due to lattice relaxation and due to the interfering SM and provides a clear picture on the origin of recently experimentally observed effects in such trilayer heterostuctures.

Tunable crystal symmetry in graphene–boron nitride heterostructures with coexisting moiré superlattices

The results demonstrate that the interplay between multiple moiré patterns can be utilized to controllably modify the symmetry and electronic properties of the composite heterostructure, enabling tunable crystal symmetry and strong modification of the graphene band structure.

Electronic properties of graphene/hexagonal-boron-nitride moiré superlattice

We theoretically investigate the electronic structures of moir\'e superlattices arising in monolayer/bilayer graphene stacked on hexagonal boron nitride (hBN) in the presence and absence of magnetic

Accurate Gap Determination in Monolayer and Bilayer Graphene/ h-BN Moiré Superlattices.

In single-layer graphene, it is found that gaps are formed at neutrality and at the hole-doped SDP, but not at the electron-dopes, and for bilayer graphene, gaps occur only at charge neutrality where they can be modified by an external electric field.

Correlated Superconducting and Insulating States in Twisted Trilayer Graphene Moire of Moire Superlattices.

Layers of two-dimensional materials stacked with a small twist-angle give rise to beating periodic patterns on a scale much larger than the original lattice, referred to as a "moire superlattice".

Composite super-moiré lattices in double-aligned graphene heterostructures

By using graphene which is aligned to two hexagonal boron nitride layers, one can make electrons scatter in the differential moiré pattern which results in spectral changes at arbitrarily low energies, and it is demonstrated that the strength of this potential relies crucially on the atomic reconstruction of graphene within the differentialMoiré super cell.

Gate-Tunable Topological Flat Bands in Trilayer Graphene Boron-Nitride Moiré Superlattices.

Calculations indicate that valley-spin resolved isolated superlattice flat bands that carry a finite Chern number C=3 proportional to the layer number can appear near charge neutrality for appropriate perpendicular electric fields and twist angles.

Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene

It is demonstrated that at small twist angles, the electronic properties of bilayer graphene moiré crystals are strongly altered by electron–electron interactions.

Structural analysis of multilayer graphene via atomic moiré interferometry

Rotational misalignment of two stacked honeycomb lattices produces a moir\'e pattern that is observable in scanning tunneling microscopy as a small modulation of the apparent surface height. This is

New Generation of Moiré Superlattices in Doubly Aligned hBN/Graphene/hBN Heterostructures

Moiré superlattices in fully hBN encapsulated graphene with both the top and the bottom hBN aligned to the graphene are reported, allowing one to artificially create an even wider spectrum of electronic properties in two-dimensional materials.