Quasicrystals are long-range ordered and yet nonperiodic. This interplay results in a wealth
of intriguing physical phenomena, such as the inheritance of topological properties from …

Recently one-dimensional topological phases are gaining increasing attentions. Like two-
and three-dimensional ones, Onedimensional systems are important in a complete …

Quasicrystals are long-range ordered, yet not periodic, and thereby present a fascinating
challenge for condensed matter physics, as one cannot resort to the usual toolbox based on …

We study a possible superconductivity in quasiperiodic systems by portraying the issue
within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical …

We study the single-particle properties of a system formed by ultracold atoms loaded into the
manifold of l= 1 orbital angular momentum (OAM) states of an optical lattice with a diamond …

We show that bosonic atoms loaded into orbital angular momentum l= 1 states of a lattice in
a diamond-chain geometry provide a flexible and simple platform for exploring a range of …

We study the adiabatic topological charge pum** driven by interlayer sliding in the moiré
superlattices. We show that, when we slide a single layer of the twisted bilayer system …

In this paper, we study a one-dimensional boson system in a superlattice potential. This
system is experimentally feasible by using ultracold atomic gases, and attracts much …

We examine the Bose-Hubbard model in the Penrose lattice based on inhomogeneous
mean-field theory. Since the averaged coordination number in the Penrose lattice is four, the …

The Dirac fermion is an important fundamental particle appearing in high-energy physics
and topological insulator physics. In particular, a Dirac fermion in a one-dimensional lattice …