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What is meant by topological disorder in condensed matter (both crystalline and amorphous)?

For example, please see the following two papers from arxiv.org

http://arxiv.org/pdf/0906.3848.pdf

http://arxiv.org/pdf/cond-mat/0308612v1.pdf

Thanks

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It would probably help to update the question with some details about your background. I know next to nothing about this stuff but I would guess topological disorder is related to (possibly a synonym of) topological entanglement entropy. It's probably also related to topological order (though after reading that article I still don't really know what that means.) –  Nathaniel Oct 14 '13 at 8:00
    
By the way, your first link is incorrect. It says "topological disorder" but the link goes to a wikipedia page on topological order. Based on what I could gather from the arXiv papers, I don't think topological disorder and order are used in the same context; i.e. one is not the absence of the other. –  NanoPhys Oct 20 '13 at 8:51
    
The first link was not added by me. It was edited by someone else. –  cosmicraga Oct 21 '13 at 12:49
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