This question is inspired by another one about the simplest model of topological insulator, where 4tnemele showed a nice two band model in the answer.
I read that and am wondering if we and push that to one dimension.
For example, by analogy to the graphene case, if we have a Hamiltonian in 1D (say x) as $H(k_x)=(k_x-k_0)+m$ for $k_x>0$. When $k_x=k_0$, one has $m>0$. $H(k_x)=(k_x+k_0)+m$ for $k_x<0$. When $k_x=-k_0$, one has $m<0$. A smooth connection in between, we will have a conductive edge (two ends in the 1D structure), right?
If I want to make a intuitive picture like below, is it correct?
Any suggestion for real materials show this behavior?