Multiplicative topological semimetals

Abstract

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in topologically-protected quantum computing, spintronics, and optical devices. We extend recent introduction of multiplicative topological phases to find previously-overlooked topological semimetal phases of electronic systems in equilibrium, with minimal symmetry-protection. We show these multiplicative topological semimetal phases exhibit rich and distinctive bulk-boundary correspondence and response signatures that greatly expand understanding of consequences of topology in condensed matter settings, such as the limits on Fermi arc connectivity and structure, and transport signatures such as the chiral anomaly. Our work therefore lays the foundation for extensive future study of multiplicative topological semimetal phases.

16 pages and 11 figures in main text, 4 pages and 1 figure in supplementary materials

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Cited by in corpus (7)

• Quantum skyrmion Hall effect
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Topological quantum criticality from multiplicative topological phases
• Topological states constructed by two different trivial quantum wires
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Observable-enriched entanglement
• Multiplicative Chern insulator