Related Experiment Video
Updated: Nov 22, 2025

13:56
Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
Published on: October 12, 2019
7.8K
Substrate-Dependent Band Structures in Trilayer Graphene/h-BN Heterostructures.
Shi Che1, Petr Stepanov1, Supeng Ge2
1Department of Physics, The Ohio State University, Columbus, Ohio 43221, USA.
Physical Review Letters
|January 7, 2021
Summary
The tight-binding model
Area of Science:
- Condensed Matter Physics
- Materials Science
- Solid-State Physics
Background:
- The tight-binding model is crucial for understanding material properties.
- Hopping parameters are typically assumed constant in this model.
- Substrate effects on 2D materials are often overlooked.
Purpose of the Study:
- To investigate the variability of hopping parameters in ABA-stacked trilayer graphene.
- To explore the influence of hexagonal boron nitride (h-BN) substrate alignment on band structures.
- To examine the impact of substrate presence on electronic properties.
Main Methods:
- Utilizing ABA-stacked trilayer graphene as a model system.
- Analyzing the tight-binding model with variable hopping parameters.
- Investigating the effects of relative alignment angles with h-BN.
Main Results:
- Hopping parameters and band structures are not constant but systematically vary with h-BN alignment.
- The presence or absence of the h-BN substrate inverts the K and K' valleys in the lowest Landau level.
- Demonstrated significant substrate influence on 2D material band structures.
Conclusions:
- Substrates exert a surprising and significant impact on the band structures of 2D materials.
- Variable hopping parameters are essential for accurate modeling of such systems.
- This work challenges conventional assumptions in tight-binding modeling.
Related Concept Videos
Energy Bands in Solids
1.6K
Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states...
Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states...
1.6K
Hybridization of Atomic Orbitals I
59.8K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
59.8K
Band Theory
16.5K
When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
16.5K
Hybridization of Atomic Orbitals II
43.3K
sp3d and sp3d 2 Hybridization
43.3K
Fermi Level Dynamics
486
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
486
Molecular Orbital Theory II
24.4K
Molecular Orbital Energy Diagrams
24.4K

