Fabricating Quasiperiodic Tilings with Thermal-Scanning Probe Lithography

We outline an approach to fabricate nanoscale artificial quasiperiodic tilings with thermal-scanning probe lithography. Quasiperiodic tilings such as the Ammann-Beenker, Square Fibonacci tiling, and Penrose are fabricated and imaged with thermal-conductance feedback microscopy, followed by electron microscopy. The design implementation, chemical, and physical challenges involved in fabricating such artificial systems using nanolithography are discussed. Additionally, the potential applications of fabricated quasiperiodic tilings are explored.