Thanks for your fast reply. The right orthogonality of the MPS does make the upper one reasonable. But I think it also makes sense to regard the state as "periodic", because when we calculate, say, the correlation function, we simply multiply/contract them together. Also, the states corrsponding to each "Link" index seem to be nicely normalized, see the newly added figure. I can't deduce this result from right orthogonality so I expect itself to be of use. What do you think about this?