Response function of four-dimensional topological insulator

• Main Author: Theofilus, Dustin Erhard
• Other Authors: Chong Yidong
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2024
• Subjects: Physics; Topological insulator; Haldane lattice; Four-dimensional lattice; Linear response theory; First chern number; Hall conductivity; Edge currents
• Online Access: https://hdl.handle.net/10356/175654
• Institution: Nanyang Technological University

In this paper, we apply linear response theory to investigate the current-current response in four-dimensional topological insulator (TI). For lattices with periodic boundary conditions, we show that the bulk DC response function is proportional to the first Chern Number (1CN) and equal to the 2D...