This lecture covers the applications of next-generation information devices and topological quantum computers based on topological materials, building on a fundamental understanding of the topological properties of quantum materials. Based on the latest theories in quantum physics, it introduces potential applications for the next-generation semiconductor industry, addressing both industry connectivity and practical implementation.
To achieve this, we first study basic quantum mechanics and methods for calculating the band structure of materials. Along with an introduction to simulation frameworks, we discuss the topological properties of wave functions. Next, we study the topological properties of two-dimensional semiconductor materials and graphene, understanding and modeling the theoretical backgrounds of novel quantum materials such as topological insulators, topological superconductors, and the quantum Hall effect.
Building on this knowledge, we deeply explore recent industrial and academic trends regarding topological material-based information devices and topological quantum computer applications. To strengthen industry-academia connections, students will acquire knowledge of practical measurement and analysis methodologies, as well as material simulation frameworks applied in actual R&D environments. Through this course, students will gain a deep understanding of the latest quantum physics theories, along with the convergent insights and application capabilities needed to apply them to practical challenges in actual next-generation semiconductor R&D.

Basic knowledge of quantum mechanics, Basic knowledge of Condensed matter physics or physical electronics
: Quantum Mechanics, Physics of Materials, Physical Electronics, Quantum Chemistry, or any equivalents.

Week 1: Basic Quantum Mechanics : Quantum Mechanics and Mathematical methodologies
Week 2: Band theory and simulation : Tight binding model, and band structure simulation tools
Week 3: Adiabatic Theorem and Berry Phase
Week 4: Topological Phase :Topological Invariants, Topological Phase transition
Week 5: Symmetry and Topologies : Symmetry-protected/Intrinsic Topological systems
Week 6: Integer Quantum Hall System : Landau level, TKNN invariants
Week 7-8: Topological Insulator : 2D and 3D topological insulator materials
Week 9: Interaction-driven Topology : Charge fractionalization, Moire system
Week 10: Topological Superconductors : Superconductor/Topological insulator hybrid system
Week 11: Majorana Zero Modes and Masurement : Experimental Studies, Measurement and analysis methodologies
Week 12-13: Topological quantum computing : 1D nano wire qubit system, 2D topological qubit, braiding and fusion
Week 14-15: Trend of topological information devices :Topological insulator low-power devices, Topological thermoelectric devices, current device R&D trends for industry

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