Question

How to determine the parity eigenvalues of time-reversal invariant momenta point from first principle calculation when we judge topological insulator?

Answer 1

Hey mate ^_^

You would normally write down the Bloch Hamiltonian H Has a matrix in a convenient orbital and/or spin basis....

Within this basis you know that T|k,↑⟩=|−k,↓⟩T|k,↑⟩=|−k,↓⟩....

You can construct a matrix, in this basis, which satisfies that (and obviously [H,T]=0[H,T]=0). Then you can find the eigenvalues of the orbitals at the TRIMs....

#Be Brainly❤️

Answer 2

buy the block Hamiltonian we can determine the parity of eigenvalues of time reversal in variant moment. From the first principle of calculation