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DY: Fachverband Dynamik und Statistische Physik
DY 57: Poster: Statistical Physics; Critical Phenomena; Stochastic Thermodynamics; Extreme Events; Data Analytics
DY 57.9: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1C
Long-range correlated bonds for the two-dimensional Ising spin glass: is there an ordered phase? — •Lambert Muenster, Christoph Norrenbrock, and Alexander K. Hartmann — Institut für Physik, Carl-von-Ossietzky Universität Oldenburg, Oldenburg (Germany)
The standard short-range two-dimensional Ising spin glass does not exhibit an ordered low-temperature phase [1]. Motivated by work that was done on the random field Ising magnet [2] we investigate the two-dimensional Ising spin glass model with long-range spatially correlated bonds. The bonds are drawn from a a standard normal distribution with a two point correlation for bond-distance r that decays as 1/(r+1)a, a>0. Whether there exists an ordered low-temperature phase is investigated via the scaling of domain wall exitations from the ground state that are induced to the system by applying different boundary conditions. By utilizing the Kasteleyn city approach [3] to numerically calculate the ground states and corresponding excited states, systems sizes up to N=7242 spins were studied.
Our results indicate that the correlation do not inflict a global ordered spin-glass phase at finite temperature.
[1] A.K. Hartmann and A.P. Young, Phys. Rev. B. 64, 180404 (2001).
[2] B. Ahrens and A.K. Hartmann, Phys. Rev. B. 84 144202 (2011).
[3] Creighton K. Thomas and A. Alan Middleton, Phys. Rev. B. 76, 220406(R) (2007).