## What is/are Bilayer Honeycomb?

Bilayer Honeycomb - We investigate the properties of the Kitaev-Kondo lattice model defined on a bilayer honeycomb lattice by means of the SO(3) Majorana representation for spin-1/2 moments.^{[1]}We study the magnon bands of twisted bilayer honeycomb quantum magnets using linear spin wave theory.

^{[2]}In this work, we formulate a coupled-mode theory for low-angle twisted bilayer honeycomb photonic crystals as a close analogy of TBG, discovering magic-angle photonic flat bands with a non-Anderson-type localization.

^{[3]}We performed first principle calculations on structural, optical, and electronic properties of 2D zinc oxide monolayer and bilayer honeycomb structures.

^{[4]}Of particular interest is the 30∘ twisted bilayer honeycomb lattice system, which possesses an incommensurate moiré pattern, and uncommon electronic behaviors may appear due to the absence of phase coherence.

^{[5]}In this paper, we analyze the topological phases induced by the interplay of electron correlation and spin orbit coupling in different stacking orders of bilayer honeycomb lattice at quarter filling.

^{[6]}The regions of stability of two collinear quasiclassical phases within the zero-temperature quantum phase diagram of the spin- 1 2 J 1 – J 2 – J 1 ⊥ model on an AA-stacked bilayer honeycomb lattice are investigated using the coupled cluster method (CCM).

^{[7]}Inelastic neutron scattering study has been performed in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12(NO3) at ambient and high magnetic fields.

^{[8]}We study irradiated two-dimensional insulating bilayer honeycomb ferromagnets and antiferromagnets coupled antiferromagnetically with a zero net magnetization.

^{[9]}

## Twisted Bilayer Honeycomb

We study the magnon bands of twisted bilayer honeycomb quantum magnets using linear spin wave theory.^{[1]}In this work, we formulate a coupled-mode theory for low-angle twisted bilayer honeycomb photonic crystals as a close analogy of TBG, discovering magic-angle photonic flat bands with a non-Anderson-type localization.

^{[2]}Of particular interest is the 30∘ twisted bilayer honeycomb lattice system, which possesses an incommensurate moiré pattern, and uncommon electronic behaviors may appear due to the absence of phase coherence.

^{[3]}

## bilayer honeycomb lattice

We investigate the properties of the Kitaev-Kondo lattice model defined on a bilayer honeycomb lattice by means of the SO(3) Majorana representation for spin-1/2 moments.^{[1]}Of particular interest is the 30∘ twisted bilayer honeycomb lattice system, which possesses an incommensurate moiré pattern, and uncommon electronic behaviors may appear due to the absence of phase coherence.

^{[2]}In this paper, we analyze the topological phases induced by the interplay of electron correlation and spin orbit coupling in different stacking orders of bilayer honeycomb lattice at quarter filling.

^{[3]}The regions of stability of two collinear quasiclassical phases within the zero-temperature quantum phase diagram of the spin- 1 2 J 1 – J 2 – J 1 ⊥ model on an AA-stacked bilayer honeycomb lattice are investigated using the coupled cluster method (CCM).

^{[4]}Inelastic neutron scattering study has been performed in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12(NO3) at ambient and high magnetic fields.

^{[5]}