The Ising spin model in multiple helices with hierarchically organized interactions is investigated using Monte Carlo simulations. The numerical result of specific heat shows that the Curie temperature of the ferromagnetic transition is strongly dependent on to what extent the basal helix is...

A material-designing principle in which a hierarchical structure is achieved by a series of steps of folding a low-order structure into a high-order structure is introduced in comparison with periodic arrays of unit cells. Multiply looped rings are a typical example, in which a ring consists of...

Electronic structures in a hierarchical helix with inter-round couplings, i.e., a multiply twisted helix, are investigated using the spectral statistics of a quantum particle. The hierarchical structure is constructed using a procedure in which a helical chain of components is twisted, producing...

The nature of correlated electrons confined in two dimensions is analyzed using the spectral statistics of three electrons confined in a square-well quantum dot. When in a small quantum dot, the spectral statistics of electrons are similar to those of Poisson distribution. As the quantum dot...

We investigated the Anderson transition in fractal-based complexes, which were generated using the dielectric-breakdown model when parameter α in the model was changed from α1 to α2 at time τ1 during the growth. When α1<α2, our nerve-cell-like complex can be considered a dendritic fractal grown on a somatic fractal. On the other hand, when α1>α2, our nebula-like complex cannot be divided into two regions. The...</α2,>