Ground-state interface exponents of the diluted Sherrington-Kirkpatrick spin glass

We present a large-scale simulation of the ground state interface properties of the diluted Sherrington -Kirkpatrick spin glass of Gaussian disorder for a broad range of the bond occupation probability p using the strong disorder renormalization group and the population annealing Monte Carlo methods. The model is studied in the framework of the diluted one-dimensional Kotliar-Anderson-Stein spin glass with power-law interactions in the mean-field regime. We find that the interface is space-filling independent of p, i.e., the fractal dimension ds = 1. The stiffness exponent 0 is likely also independent of p, despite that the energy finite-size correction exponent w varies with p as recently found. The energy finite-size scaling is also analyzed and compared with that of the +/- J disorder, finding that the thermodynamic energy is universal in both p and the disorder, and the exponent w varies with p but is universal in the disorder.