Symmetry and first-principles analysis of 2D buckled honeycomb phonons identifies nine topological phases but places real Si, Ge, P, As, Sb crystals in the trivial phase, with Monte Carlo showing why topological realizations are physically constrained.
The vector representation is re- ducible, and according to the BCS V =A1(z) +E(x,y )
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Topological phonon analysis of the 2D buckled honeycomb lattice: an application to real materials
Symmetry and first-principles analysis of 2D buckled honeycomb phonons identifies nine topological phases but places real Si, Ge, P, As, Sb crystals in the trivial phase, with Monte Carlo showing why topological realizations are physically constrained.