Coupling-matrix approach to the Chern number calculation in disordered systems |
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| Authors: | Zhang Yi-Fu Yang Yun-You Ju Yan ShengLi ShenRui Sheng Dong-Ning Xing Ding-Yu |
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| Institution: | [1]National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China [2]College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610068, China [3]Department of Physics and Astronomy, California State University, Northridge, California 91330, USA |
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| Abstract: | The Chern number is often used to distinguish different topological phases of matter in two-dimensional electron systems.A fast and efficient coupling-matrix method is designed to calculate the Chern number in finite crystalline and disordered systems.To show its effectiveness,we apply the approach to the Haldane model and the lattice Hofstadter model,and obtain the correct quantized Chern numbers.The disorder-induced topological phase transition is well reproduced,when the disorder strength is increased beyond the critical value.We expect the method to be widely applicable to the study of topological quantum numbers. |
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| Keywords: | Chern number topology disorder |
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