Violation of the Harris-Barghathi-Vojta Criterion.

Violation of the Harris-Barghathi-Vojta Criterion.
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违反 Harris-Barghathi-Vojta 标准

DOI:
10.1103/physrevlett.121.100601
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发表时间:
2018
影响因子:
8.6
通讯作者:
F. Goth
F. Goth
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
M. Schrauth;J. S. E. Portela;F. Goth

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In 1974, Harris proposed his celebrated criterion: Continuous phase transitions in-dimensional systems are stable against quenched spatial randomness whenever, whereis 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 random point clouds, Barghathi and Vojta put forth a modified criterion for topologically disordered systems:, whereis the disorder decay exponent, which measures how fast coordination number fluctuations decay with increasing length scale. Here we present a topologically disordered lattice with coordination number fluctuations that decay as slowly as those of conventional uncorrelated randomness, but for which the clean universal behavior is preserved, hence violating even the modified criterion.
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