Stacking and Registry Effects in Layered Materials: The Case of Hexagonal Boron Nitride
Noa Marom, Jonathan Bernstein, Jonathan Garel, Alexandre Tkatchenko,, Ernesto Joselevich, Leeor Kronik, and Oded Hod

TL;DR
This study investigates the interlayer sliding energy landscape of hexagonal boron nitride using density functional theory, revealing the roles of van der Waals and electrostatic forces and proposing a simple geometrical model for the energy landscape.
Contribution
It introduces a simple geometrical model that captures the registry matching and energy landscape of layered h-BN, facilitating modeling of complex layered structures.
Findings
Van der Waals forces anchor layers at a fixed distance.
Electrostatic forces determine stacking mode and sliding energy.
A nearly free-sliding path with bandgap modulations of ~0.6 eV was identified.
Abstract
The interlayer sliding energy landscape of hexagonal boron nitride (h-BN) is investigated via a van der Waals corrected density functional theory approach. It is found that the main role of the van der Waals forces is to "anchor" the layers at a fixed distance, whereas the electrostatic forces dictate the optimal stacking mode and the interlayer sliding energy. A nearly free-sliding path is identified, along which bandgap modulations of ~0.6 eV are obtained. We propose a simple geometrical model that quantifies the registry matching between the layers and captures the essence of the corrugated h-BN interlayer energy landscape. The simplicity of this phenomenological model opens the way to the modeling of complex layered structures, such as carbon and boron nitride nanotubes.
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