TL;DR
This paper discusses how topology in the energy spectrum of matter leads to new phases with unique conducting and insulating properties, highlighting the importance of topological concepts in understanding novel states of matter.
Contribution
It emphasizes the role of topological features in the energy spectrum as a foundation for discovering new phases of matter.
Findings
Topology reveals hidden properties in energy spectra.
Topological phases exhibit unique conducting and insulating behaviors.
Mathematical topology is crucial for understanding novel matter states.
Abstract
An old branch of mathematics, Topology, has opened the road to the discovery of new phases of matter. A hidden topology in the energy spectrum is the key for novel conducting/insulating properties of topological matter.
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