Abstract
Bootstrap, or -core, percolation displays on the Bethe lattice a mixed first- and second-order phase transition with both a discontinuous order parameter and diverging critical fluctuations. I apply the recently introduced -layer technique to study corrections to mean-field theory showing that at all orders in the loop expansion the problem is equivalent to a spinodal with quenched disorder. This implies that the mean-field hybrid transition does not survive in physical dimension. Nevertheless, its critical properties as an avoided transition make it a proxy of the avoided mode-coupling-theory critical point of supercooled liquids.
- Received 3 October 2018
- Revised 4 February 2019
DOI:https://doi.org/10.1103/PhysRevLett.122.108301
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