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why KT phase transition is considered different from a second order phase transition?

 
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Sep11-12, 03:11 PM   #1
 

why KT phase transition is considered different from a second order phase transition?


i cannot see the reason

what makes KT phase transition different from the ferro-para phase transition of the 2D ising model?
 
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Sep11-12, 06:09 PM   #2
 
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There is no local order parameter in the KT transition, so it's "topological" rather than "symmetry breaking".

http://www.itp.uzh.ch/~llucas/projects/proseminar.pdf
http://www.phy.cuhk.edu.hk/course/20...transition.pdf
http://www.mit.edu/~levitov/8.334/notes/XYnotes1.pdf
 
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