LAN -- A materials notation for 2D layered assemblies
Georgios A. Tritsaris, Yiqi Xie, Alexander M. Rush, Stephen Carr,, Marios Mattheakis, and Efthimios Kaxiras

TL;DR
This paper introduces a universal notation system for describing 2D layered materials, enabling systematic representation and exploration of their complex assemblies for research and development.
Contribution
It presents a novel, domain-generic notation for 2D layered materials that captures arbitrary compositions and assembly processes, facilitating systematic materials knowledge transfer.
Findings
The notation can describe a wide range of 2D layered structures.
It supports representation of both existing and hypothetical assemblies.
Demonstrated with examples using common 2D materials.
Abstract
Two-dimensional (2D) layered materials offer intriguing possibilities for novel physics and applications. Before any attempt at exploring the materials space in a systematic fashion, or combining insights from theory, computation and experiment, a formal description of information about an assembly of arbitrary composition is required. Here, we introduce a domain-generic notation that is used to describe the space of 2D layered materials from monolayers to twisted assemblies of arbitrary composition, existent or not-yet-fabricated. The notation corresponds to a theoretical materials concept of stepwise assembly of layered structures using a sequence of rotation, vertical stacking, and other operations on individual 2D layers. Its scope is demonstrated with a number of example structures using common single-layer materials as building blocks. This work overall aims to contribute to the…
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