The Disciplinary Reconstruction of Replacing Quantum Materials with Topological Materials Based on Topological Vortex Theory (1)
1. The Ambiguity of Quantum Materials and the Clarity of Topological Materials
1.1 Conceptual Dilemmas of Quantum Materials
- Quantum Entanglement is often misunderstood as "spooky action-at-a-distance," while it is actually a mathematical description of correlated states.
- Quantum Tunneling is frequently overinterpreted as "particles traversing classically forbidden regions," whereas its essence lies in the non-locality of the wave function.
- Quantum Decoherence is mistakenly perceived as "wavefunction collapse induced by observation," while it is actually a result of interaction with the environment.
1.2 The Rigorous Framework of Topological Materials
- Topological Vortex: A localized rotational structure possessing an integer topological charge (e.g., magnetic flux vortex, superfluid vortex).
- Anti-vortex: A vortex with an opposite topological charge, forming a dual structure with the vortex.
- Topological Protection: The stability of vortices is guaranteed by topological invariants (e.g., Chern number, winding number) and is unaffected by perturbations.
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