This question concerns the development of Symmetry-Protected Topological states (as an extension of Topological Insulator), the interesting topic has been cited in Nobel physics prize 2016 advanced INFO.
My question focus on what would be a "more" complete picture on the early development of this subject is, in 2009-ish, to 2010, from the researcher in the condensed matter field? Other than the two citations added in the info? (It should be a well-defined question based on the chronological-ordered literature. So there should be some certain answer, more than just some opinion-based discussions.)
Since Nobel physics prize 2016 advanced INFO had modified its citations (see the story below), some uncareful mistakes or ambiguities must be made by some Nobel committee members.
In the earlier 1st version of Nobel physics prize 2016 advanced INFO (posted in the early Oct 4th), in Section 5, in page 18 it stated that [image copy below Version 1]
For the Haldane phase this was investigated in 2010 by Pollmann et al., who showed that as long as certain symmetry properties are respected by the perturbations, the phase remains intact and exhibits a characteristic entanglement property. And one Ref is cited for its contribution: Frank Pollmann, Ari M Turner, Erez Berg, and Masaki Oshikawa. Entanglement spectrum of a topological phase in one dimension. Physical Review B, 81(6):064439, 2010
Later on, a few weeks later, several revisions had found in the new Version N of Nobel physics prize 2016 advanced INFO. The statement is modified to [image copy below Version N]:
To define a distinct phase of matter, it is important that the characteristic properties are not destroyed by small perturbations. For the Haldane phase this was investigated in 2009 by Gu and Wen  who showed that as long as certain symmetry properties are respected by the perturbations, the phase re- mains intact, and in 2010 the entanglement properties of the state was studied in detail by Pollmann et al. . And add a citation: Zheng-Cheng Gu and Xiao-Gang Wen. Tensor-entanglment-filtering renormalization approach and symmetry-protected topological order. Physical Review B, 80:155131, 1990. But notice that the year is wrong, it should be 2009 not 1990.
Version 1 (photo copy):
Version N (current version, photo copy):
This post imported from StackExchange Physics at 2016-11-05 08:24 (UTC), posted by SE-user Idear