## What is/are Buckled Honeycomb?

Buckled Honeycomb - The existence criteria for GL materials with three common structures, including planar honeycomb (PH), buckled honeycomb (BH), and honeycomb MX2 (2H-MX2) structures, were established.^{[1]}

## buckled honeycomb structure

With the ongoing effort in proposing and realizing functional two-dimensional (2D) materials, we predict by first-principles calculations a family of 2D metal-carbon (M–C) crystals consisting of M–C trigonal lattice interpenetrated with the metal buckled honeycomb structure.^{[1]}Bader charge analysis, DFT calculations of charged states, and ab initio molecular dynamics simulations indicated that the aggregated F atoms withdrew electrons from MLSi, destabilizing the buckled honeycomb structure of MLSi in CaSi2.

^{[2]}The inherently broken centrosymmetry of the buckled honeycomb structures gives it both ferroelectricity and valley degree of freedom, which provides an opportunity to realize electrically controlled valley polarization.

^{[3]}Elemental monolayers of the group 14 with a buckled honeycomb structure, namely silicene, germanene, stanene, and plumbene, are known to demonstrate a spin splitting as a result of an electric field parallel to their high symmetry axis which is capable of tuning their topological phase between a quantum spin Hall insulator and an ordinary band insulator.

^{[4]}Stanene, two-dimensional, graphene-like buckled honeycomb structure, has been deemed as a potential material for the next generation nano-electronics application.

^{[5]}We present a detailed study of the imaginary and real parts of the spin-susceptibility of silicene which can be generalized to other buckled honeycomb structure.

^{[6]}So, here in addition to graphene, the attention is directed to stanene (buckled honeycomb structure) and phosphorene (puckered honeycomb structure).

^{[7]}Beyond a critical degree of electron doping, the most stable allotrope changes from ϵ-B to a buckled honeycomb structure.

^{[8]}Recent findings shed light on performing fundamental experiments for preparation of metal monolayer stanene, which is a zero band gap semiconductor material with buckled honeycomb structure.

^{[9]}These were nitrogene in a buckled honeycomb structure, arsenene, antimonene, and bismuthene in a buckled honeycomb, as well as washboard and square-octagon structures with unusual mechanical, electronic, and optical properties.

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## buckled honeycomb lattice

Here, we propose a buckled honeycomb lattice of stoichiometry SiP3, a two-dimensional binary group-IV and V material that exhibits an antiferromagnetic ground state with itinerant electrons.^{[1]}Based on first-principles calculations, we study systematically the ideal tensile stress-strain relations of three monoatomic group-V monolayer two dimensional (2D) materials with buckled honeycomb lattices: blue phosphorene, β-arsenene, and β-antimonene.

^{[2]}Silicene, the silicon analogue of graphene, consists of an atomically buckled honeycomb lattice of silicon atoms.

^{[3]}Silicene has a two-dimensional buckled honeycomb lattice and is chemically reactive because of its mixed sp2–sp3 bonding character unlike graphene.

^{[4]}By carefully considering the bonding characteristics of phosphorus atoms, we propose a buckled honeycomb lattice strategy to search for possible highly stable phosphorene isomers.

^{[5]}We study the magnetic oscillations (MO) in 2D materials with a buckled honeycomb lattice, considering a perpendicular electric and magnetic field.

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## buckled honeycomb layer

In the antiferromagnetically ordered state below ${T}_{N}$, both Fe1 and Fe2 magnetic moments lying within the weakly and strongly buckled honeycomb layers are arranged in a fashion that the three nearest neighbors are directed oppositely.^{[1]}The Fd3¯m phase at 500 GPa forms buckled honeycomb layers that give rise to a Dirac crossing 1 eV below the Fermi energy.

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