Can I read A Quantized Interband Topological Index in Two-Dimensional Systems on EtoBox?

A Quantized Interband Topological Index in Two-Dimensional Systems by Fernando, Tharindu; Cao, Ting is a scholarly article available to read on EtoBox.

What is A Quantized Interband Topological Index in Two-Dimensional Systems about?

We introduce a novel gauge-invariant, quantized interband index in two-dimensional (2D) multiband systems. It provides a bulk topological classification of a submanifold of parameter space (e.g., an electron valley in a Brillouin zone), and therefore overcomes difficulties in characterizing topology of submanifolds. We confirm its topological nature by numerically demonstrating a one-to-one correspondence to the valley Chern number in $k\cdot p$ models (e.g., gapped Dirac fermion model), and the first Chern number in lattice models (e.g., Haldane model). Furthermore, we derive a band-resolved topological charge and demonstrate that it can be used to investigate the nature of edge states due to band inversion in valley systems like multilayer graphene.

Author

Fernando, Tharindu; Cao, Ting

Published

2023

Language

EN