2011/01/31 by Tom Heitmann, Heitmann, Tom, John Gaddy +3
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1101.6035
openalex publication_date 2011/01/31 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We present the results of a percolation-like model that has been restricted\ncompared to standard percolation models in the sense that we do not allow\nfinite sized clusters to break up once they have formed. We calculate the\ncritical exponents for this model and derive relationships between these\nexponents and those of standard percolation models. We argue that this\nrestricted model represents a new universality class that is directly relevant\nto the critical physics as observed in quantum critical systems, and we\ndescribe under what conditions our percolation results can be applied to the\nobserved temperature and field dependencies of the specific heat and\nsusceptibility in such systems.\n