38 citations · 65 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2013★ 11 cited
Typical and large-deviation properties of minimum-energy paths on disordered hierarchical lattices
O. Melchert, A. K. Hartmann
We perform numerical simulations to study the optimal path problem on disordered hierarchical graphs with effective dimension d=2.32. Therein, edge energies are drawn from a disord…
cond-mat.dis-nn2010★ 16 cited
A dedicated algorithm for calculating ground states for the triangular random bond Ising model
O. Melchert, A. K. Hartmann
In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. The…
cond-mat.dis-nn2007★ 38 cited
Fractal dimension of domain walls in two-dimensional Ising spin glasses
O. Melchert, A. K. Hartmann
We study domain walls in 2d Ising spin glasses in terms of a minimum-weight path problem. Using this approach, large systems can be treated exactly. Our focus is on the fractal dim…