School of Science Department of Physics 59 Quantum State Calculation of Two-dimensional Supramolecular Nanostructures Supervisor: LIN, Nian / PHYS Student: NG, Man Tik / PHYS Course: UROP1000, Summer MATLAB is used for simulating the band structure and density of states in a user-designed 2D potential function unit cell. However, there is currently no documentation available to help users understand the code, and it is time-consuming for mass simulations. To address these issues, this paper provides a thorough explanation of the code section by section, highlighting changes that have been made to enhance its performance, including automation. Moreover, this paper addresses the inaccuracies of DFT and offers solutions to mitigate them. To prevent Out Of Memory Issues, eigs.m has been incorporated for computing eigenvalues of a large Hamiltonian Matrix. The primary limitation of this paper is the lack of supporting physics and mathematical theorems for the explanation and claims. Quantum State Calculation of Two-dimensional Supramolecular Nanostructures Supervisor: LIN, Nian / PHYS Student: XU, Sihong / SSCI Course: UROP1100, Fall An ideal lieb lattice has many special properties, because of its special flat band structure. However, it’s hard to achieve an ideal lieb lattice in reality as we can’t manipulate the hopping parameters between different atoms as we want. In this article, MATLAB is used to construct the unit cell and simulate the lieb lattice in reality. Different methods are conducted to make the band structure get close to an ideal one. Using the hopping parameters in the tight-binding model, we propose a qualitative explanation of how the band structure are affected by the parameters of the lieb lattice . Organic Molecular Beam Deposition in Ultra-high Vacuum Supervisor: LIN, Nian / PHYS Student: FAN, Ka Cheuk / PHYS-IRE WENG, Chun Yu / PHYS-IRE WONG, Yip Chun / SSCI Course: UROP1100, Fall UROP1100, Fall UROP1100, Fall Mechanical exfoliation is a key technique for exploring the properties of two-dimensional materials, such as graphene, by providing the highest structural quality. During the recent decade, some novel methods are proposed. In this report, the method of exfoliating monolayer materials proposed by Huang et al. is examined. This is performed by applying the method on two materials: Highly oriented pyrolytic graphite (HOPG) and molybdenum disulfide (MoS2) with SiO2/Si as the substrate. The purpose of this research is to verify the method proposed and possibly find a better method by introducing some variations to it.
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