10 citations · 38 across the 10 of their papers we have counts for
10 papers
A novel variant of rhombic Penrose tiling
Nobuhisa Fujita, Komajiro Niizeki
We present a novel variant of a planar quasiperiodic tiling with tenfold symmetry, employing the same thick and thin rhombuses as the celebrated rhombic Penrose tiling. Despite its…
Ising model on the aperiodic Smith hat
Yutaka Okabe, Komajiro Niizeki, Yoshiaki Araki
Smith et al discovered an aperiodic monotile of 13-sided shape in 2023. It is called the `Smith hat' and consists of 8 kites. We deal with the statistical physics of the lattice of…
Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries
Komajiro Niizeki, Nobuhisa Fujita
We present a systematic method of constructing limit-quasiperiodic structures with non-crystallographic point symmetries. Such structures are different aperiodic ordered structures…
A self-similar ordered structure with a non-crystallographic point symmetry
Komajiro Niizeki, Nobuhisa Fujita
A new class of self-similar ordered structures with non-crystallographic point symmetries is presented. Each of these structures, named superquasicrystals, is given as a section of…
Universalities in One-electron Properties of Limit Quasi-periodic Lattices
Rihei Endou, Komajiro Niizeki, Nobuhisa Fujita
We investigate one-electron properties of one-dimensional self-similar structures called limit quasi-periodic lattices. The trace map of such a lattice is nonconservative in contra…
Coherent State Path Integral for Bloch Particle
Junya Shibata, Komajiro Niizeki
We construct a coherent state path integral formalism for the one-dimensional Bloch particle within the single band model. The transition amplitude between two coherent states is a…