2 papers
cond-mat.stat-mech2026
Berezinskii-Kosterlitz-Thouless-type Transition in Site Percolation on the Diamond Hierarchical Lattice
Takehisa Hasegawa, Kazuki Wataya, Tomoaki Nogawa
We study site percolation on the diamond hierarchical lattice, a finite-dimensional fractal network, using an exact generating-function analysis. In contrast to bond percolation, s…
cond-mat.stat-mech2025
Critical and Nonpercolating Phases in Bond Percolation on the Song-Havlin-Makse Network
Kazuki Wataya, Takehisa Hasegawa
We investigate bond percolation on the Song-Havlin-Makse (SHM) network, a scale-free tree with a tunable degree exponent and dimensionality. Using a generating function approach, w…