Altermagnetism Induced Topological Phase Transitions in Kane-Mele Model

Abstract

We theoretically demonstrate that Chern number tunable quantum anomalous Hall effect (QAHE) and second-order topological insulators can be induced in the two-dimensional ${\mathbb{Z}}_2$ topological insulator (TI), i.e., Kane-Mele model, by applying $d$-wave altermagnetism. When the Néel vector of altermagentism lies in the $x-y$ plane, the ${\mathbb{Z}}_2$ TI is broken and driven into a second-order topological insulator phase, exhibiting the representative corner states at nanoflakes. When the intrinsic Rashba spin-orbit coupling is further included, the second-order TI is further driven into the QAHE phase with various Chern numbers (e.g., $\mathcal{C}=\pm 1$ or $\pm 3$). When the Néel vector is along $z$ direction, the intrinsic Rashba spin-orbit coupling is necessary to break the mirror symmetry to allow a sequential emergence of second-order TI and QAHE along with the increase of altermagentism strength. We also observe the QAHE with mixed-chirality, i.e., there exist counter-propagating edge modes but net chiral current at the ribbon boundary. Our work shows that altermagnetism can play a crucial role in exploring a rich variety of topological phases, just like its counterparts of ferromagnetism and antiferromagnetism.

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Cited by in corpus (5)

• Model Hamiltonian for Altermagnetic Topological Insulators
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity