Quantum Dualities and Quantum Anomalous Hall Phases with Arbitrary Large Chern Numbers

TL;DR

This paper explores quantum dualities in quantum anomalous Hall phases, demonstrating models that can achieve arbitrarily large Chern numbers and revealing new insights into topological phase transitions and edge modes.

Contribution

It introduces models capable of realizing QAH phases with any large Chern number and uncovers a novel mechanism for bulk-boundary correspondence.

Findings

Models realize QAH phases with arbitrary large Chern numbers

Identifies a new mechanism for bulk-boundary correspondence

Studies topological phase transitions changing Chern numbers

Abstract

Quantum duality is a far reaching concept in contemporary theoretical physics. In the present paper, we reveal the quantum dualities in quantum anomalous Hall (QAH) phases through concrete two bands Hamiltonian models. Our models can realize QAH phases with arbitrary large Chern numbers. In real materials these models may be realized by stacked $n$ layer systems of $c_1=1$ QAH insulators. The topological phase transitions that can change the Chern numbers are studied. And we investigate the gapless edge modes of our models in details, and find a new mechanism for the bulk boundary correspondence.