4 papers · 1 filter
Stability of diverse dodecagonal quasicrystals in T-shaped liquid crystalline molecules
Xin Wang, An-Chang Shi, Pingwen Zhang +1
Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric unit…
Designing a minimal Landau theory to stabilize desired quasicrystals
Wei Si, Shifeng Li, Pingwen Zhang +2
Interparticle interactions with multiple length scales play a pivotal role in the formation and stability of quasicrystals. Choosing a minimal set of length scales to stabilize a g…
Nucleation and phase transition of decagonal quasicrystals
Tiejun Zhou, Lei Zhang, Pingwen Zhang +2
In this work, we study the nucleation of quasicrystals from liquid or periodic crystals by developing an efficient order-order phase transition algorithm, namely the nullspace-pres…
Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems
Kai Jiang, Xueyang Li, Yao Ma +3
In this paper, we propose a new algorithm, the irrational-window-filter projection method (IWFPM), for quasiperiodic systems with concentrated spectral point distribution. Based on…