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A dichotomy theory for the height functions of the BKT transition

math.PR · 2022-11-25 · unverdicted · novelty 7.0

The paper establishes a dichotomy for height functions at the BKT transition: localization yields exponential covariance decay while delocalization forces at least logarithmic variance growth with a universal positive gap in effective temperature, and the delocalized regime is closed including the B

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  • A dichotomy theory for the height functions of the BKT transition math.PR · 2022-11-25 · unverdicted · none · ref 36

    The paper establishes a dichotomy for height functions at the BKT transition: localization yields exponential covariance decay while delocalization forces at least logarithmic variance growth with a universal positive gap in effective temperature, and the delocalized regime is closed including the B