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Published on: August 2, 2019
Crossover behavior in three-dimensional dilute spin systems
Pasquale Calabrese1, Pietro Parruccini, Andrea Pelissetto
1Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, I-56126 Pisa, Italy. calabres@df.unipi.it
Abstract:
We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the Gaussian-to-random and the pure-Ising-to-random crossover, determining the corresponding crossover functions for the magnetic susceptibility and the correlation length. Moreover, for the physically interesting cases of dilute Ising, XY, and Heisenberg systems, we estimate several universal ratios of scaling-correction amplitudes entering the high-temperature Wegner expansion of the magnetic susceptibility, of the correlation length, and of the zero-momentum quartic couplings.
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