English

The Anatomy of a Topological Phase Transition in a 2D Chern Insulator

Mesoscale and Nanoscale Physics 2023-11-16 v1

Abstract

The onset of the topological phase transition in a two-dimensional model for a Chern Insulator, namely the Qi-Wu-Zhang(QWZ) model, is illustrated, with particular emphasis on the appearance of chiral edge-modes. The edge-modes are studied by analysing the dynamics of the edge-states in an equivalent model for a one-dimensional charge pump, using a technique known as dimensional extension. A further real-space analysis allows us to explain the onset of the topological phase transition in terms of time-reversal symmetry breaking and to quantitatively study the localisation of the edge-modes.

Keywords

Cite

@article{arxiv.2311.08932,
  title  = {The Anatomy of a Topological Phase Transition in a 2D Chern Insulator},
  author = {Arjo Dasgupta and Indra Dasgupta},
  journal= {arXiv preprint arXiv:2311.08932},
  year   = {2023}
}