Non-Hermitian Weyl semimetal and its Floquet engineering

Abstract

It is generally believed that non-Hermiticity can transform Weyl semimetals into Weyl-exceptional-ring semimetals. However, this belief is from the systems without skin effect. We investigate the non-Hermitian Weyl semimental and its Floquet engineering in a system with skin effect, which breaks the bulk-boundary correspondence in its Hermitian counterpart. It is found in both the static and periodically driven cases that the skin effect makes this general belief no longer valid. We discover that exotic non-Hermitian topological matters, e.g., a composite phase of Weyl semimetal and topological insulator with the coexisting Fermi arc and chiral boundary states, a widely tunable Hall conductivity with multiple quantized plateaus, and a Weyl semimetal with anomalous Fermi arcs formed by the crossing of gapped bound state, can be generated by the Floquet engineering. Revealing the leading role of the skin effect in determining the feature of a semimental, our result supplies a useful way to artificially synthesize exotic non-Hermitian Weyl semimetals by periodic driving.

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• Topological Non-Hermitian skin effect
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Photonic Lattices: tutorial
• Non-Hermitian Floquet Topological Matter -- A Review
• Floquet topological phase transitions in a periodically quenched dimer
• Non-Hermitian Absorption Spectroscopy
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Entanglement phase transitions in non-Hermitian Floquet systems
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• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces