The current frontier of condensed matter physics involves various quantum states of materials that emerge from electron-electron interactions, the topology of electronic wavefunctions, and/or dimensional constraints. These phases of matter can host novel electronic, magnetic or optical properties, but how exactly they come out is usually difficult to understand or predict. With high-resolution scanning tunneling microscopy (STM) techniques and molecular beam epitaxy (MBE) growth, we aim to visualize, understand and manipulate the collective electronic behavior of these complex systems at the atomic scale.

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