Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems

• URL: http://arxiv.org/abs/2409.05437v1
• Date: Mon, 9 Sep 2024 08:38:27 GMT
• Title: Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Authors: Hong Wu, Jun-Hong An,
• Abstract summary: We show that periodic driving can break the boundary criticality of a PT-invariant system. We discover exotic second-order Dirac and nodal-line semimetals with coexisting surface and hinge Fermi arcs.
• Score: 2.253370796182325
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It was recently found that, going beyond the tendfold Altland-Zirnbauer symmetry classes and violating the bulk-boundary correspondence of the usual topological phases, PT-invariant systems support a real Chern insulator with the so-called boundary criticality, which forbids the transition between different orders of topological phases accompanied by the closing and reopening of the bulk-band gap. Here, we fnd that the periodic driving can break the boundary criticality of a PT-invariant system. Setting free from the the boundary criticality, diverse first- and second-order topological phases absent in the static case are found in both the zero and Pi/T modes. The application of our result in the three-dimensional PT-invariant system permits us to discover exotic second-order Dirac and nodal-line semimetals with coexisting surface and hinge Fermi arcs. Enriching the family of the topological phases in PT-invariant systems, our result provides us a useful way to explore novel topological phases.

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