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Who proposed the bulk-edge correspondence principle?

The principle is often quoted in counting the number of zero energy states localized on the interface between two insulators with distinct band topology. However, I could not retrieve who was the first to say that.

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  • $\begingroup$ I edited your second question out of the post, because we prefer to have one question per post. But feel free to post it separately. :-) $\endgroup$
    – David Z
    Commented Jul 28, 2014 at 2:24

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I believe it was Xiao-Gang Wen in 1989, see also this 1994 paper by him and his collaborators

http://dao.mit.edu/~wen/pub/ednab.pdf

He's at MIT. I was once hosting a seminar by him, he is one of the most creative and playful folks in this segment of condensed matter physics. The paper above contains some other relevant references, including a paper by Wen and Tony Zee.

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  • $\begingroup$ Thanks a lot for pointing out that nice article for me ! $\endgroup$
    – hyd
    Commented Jul 29, 2014 at 1:12
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Maybe it is R. Jackiw and C. Rebbi (Phys. Rev. D 13, 3398)

When explaining the quantum Hall effect, Hasan and Kane (Rev. Mod.Phys. 2010, 82: 3045–3067) said "This interplay between topology and gapless modes is ubiquitous in physics and has appeared in many contexts. It was originally found by Jackiw and Rebbi (1976) in their analysis of a 1D field theory" in pages 3048-3049.

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  • $\begingroup$ Thanks for sharing the information. I also learned this when reading Jackiw's Dirac prize lecture. However, he did not in that work propose the principle and there was no topological argument therein. $\endgroup$
    – hyd
    Commented Jul 31, 2014 at 9:12
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@Hai-Yao Deng. I hope that by now you might have found the answer to your question. I have recently started reading about the topological phases of matter. I find that in his paper, Y. Hatugai PRB 48, 1993 study in detail about this correspondence for the integer quantum Hall effect. He also summaries a sort of development of the argument from TKNN calculation of Hall conductance to the numerical computation of edge states in the same system by Rammal, Toulouse, Jaekel, and Halperin.

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