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The Disciplinary Reconstruction of Replacing Quantum Materials with Topological Materials Based on Topological Vortex Theory (2)

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Bao-hua ZHANG
Posted 2025-10-21 02:22:57
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2. Self-Organization and Interaction of Topological Vortices and Anti-vortices

2.1 Physical Significance of Vortex-Anti-vortex Pairs

In superconductors, superfluids, and magnetic materials, the pair creation and annihilation of vortices and anti-vortices is a key mechanism for topological phase transitions:

  1. Superconducting Vortex: Magnetic field penetration into a superconductor forms quantized magnetic flux vortices, whose dynamics are described by Ginzburg-Landau theory.
  2. Magnetic Skyrmion: Spin vortex structures can be used in low-energy-consumption spintronic devices.
  3. Cosmological Analogy: Cosmic strings can be viewed as macroscopic topological vortices, related to phase transitions in the early universe.

2.2 Applications of Topological Vortices in Materials Science

  1. Low-energy Electronic Devices: Designing low-power circuits utilizing topologically protected edge states.
  2. Topological Quantum Computation: Quantum bits based on Non-Abelian Anyons.
  3. Novel Superconducting Materials: Optimizing superconducting critical temperature by controlling vortex-anti-vortex interactions.
  • Topological_Materials
  • Quantum_Materials
  • Topological_Vortex
  • Disciplinary_Reconstruction
  • Topological_Invariant
  • Topological_Vortex_Theory_(TVT)
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