BPCPPDYSOE21 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 32: Posters DY - Statistical Physics, Brownian Motion and Nonlinear Dynamics

DY 32.18: Poster

Dienstag, 23. März 2021, 16:30–19:00, DYp

Percolation Properties of Spin Glasses — •Lambert Münster and Martin Weigel — TU Chemnitz, Institute of Physics, Chemnitz, Germany

In the Ising model there exists a direct interrelation between percolation of Fortuin-Kasteleyn clusters and the ferromagnetic phase transition. Percolation of Fortuin-Kasteleyn clusters in spin glasses occurs at a higher temperature than the spin-glass transition [1,2]. Even when looking at the Fortuin-Kasteleyn percolation in two replicas simultaneously the percolation temperature remains above the critical one [3].

In this work we consider Fortuin-Kasteleyn percolation also in more than two replicas. Since the utilization of multiple replicas shifts the percolation transition to lower temperatures this can possibly provide an Ansatz to develop new cluster algorithms for spin glasses. To adress the question of how the percolation threshold behaves as a function of the number of replicas we perform Monte Carlo simulations of the two-dimensional Ising spin glass.

[1] L. de Arcangelis, A. Coniglio, and F. Peruggi, Europhys. Lett. 14 515 (1991).

[2] H. Fajen, A. K. Hartmann, and A. P. Young, Phys. Rev. E 102, 012131 (2020).

[3] J. Machta, C. M. Newman, and D. L. Stein, J. Stat. Phys. 130, 113 (2008).