We study the effects of a random magnetic field on one-dimensional (1D) spin-1 chain with correlated nearest-neighbor XY interaction. show that this spin model can be exactly mapped onto 1D disordered tight-binding ${\mathbb{Z}}_{3}$ Fock parafermions (FPFs), exotic anyonic quasiparticles generalize usual spinless fermions. Thus, we have peculiar case Hamiltonian despite being bilinear in creat...

We investigate computing models that are presented as families of finite computing devices with a uniformity condition on the entire family. Examples include circuits, membrane systems, DNA computers, cellular automata, tile assembly systems, and so on. However, in this list there are actually two distinct kinds of uniformity conditions. The first is the most common and well-understood, where e...