Stability and magnetization of free-standing and graphene-embedded iron membranes
Morten Rish{\o}j Thomsen, S{\o}ren Jacob Brun, Thomas Garm, Pedersen

TL;DR
This study uses ab initio calculations to analyze the stability and magnetization of free-standing and graphene-embedded iron membranes, revealing insights into their preferred lattice structures and magnetic properties.
Contribution
It provides the first detailed comparison of structural stability and magnetization between free-standing and embedded Fe membranes, highlighting the influence of lattice type and embedding environment.
Findings
Free-standing monolayer Fe prefers a triangular lattice.
Embedded Fe membranes favor a square lattice due to lower edge formation energy.
Embedded Fe membranes exhibit magnetization comparable to monolayer Fe.
Abstract
Inspired by recent experimental realizations of monolayer Fe membranes in graphene perforations, we perform ab initio calculations of Fe monolayers and membranes embedded in graphene in order to assess their structural stability and magnetization. We demonstrate that monolayer Fe has a larger spin magnetization per atom than bulk Fe and that Fe membranes embedded in graphene exhibit spin magnetization comparable to monolayer Fe. We find that free-standing monolayer Fe is structurally more stable in a triangular lattice compared to both square and honeycomb lattices. This is contradictory to the experimental observation that the embedded Fe membranes form a square lattice. However, we find that embedded Fe membranes in graphene perforations can be more stable in the square lattice configuration compared to the triangular. In addition, we find that the square lattice has a lower edge…
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