In the process of study in HKU, I have learned about the Fractional quantum Anomalous Hall effect in the dice lattice and Lieb lattice, and also have learned some knowledge of Non-Hermitian Fractional Quantum Hall effect. I am really interested in the analyze of the QHE to find the Chern number and non-trivial flat band in the materials, which is related to the QHE. I am also curious about my final result that in the Lieb lattice, there always exists a flat band if add one position. There are many problems and question during my study and I am also want to continue my study in this field.