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Violation of the Harris-Barghathi-Vojta Criterion

Violation of the Harris-Barghathi-Vojta Criterion

In 1974, Harris proposed his celebrated criterion: Continuous phase transitions in $d$-dimensional systems are stable against quenched spatial randomness whenever $d\ensuremath{\nu}>2$, where $\ensuremath{\nu}$ is the clean critical exponent of the correlation length. Forty years later, motivated by violations of the Harris criterion for certain lattices such as Voronoi-Delaunay triangulations of …