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Topological Phases Under Entropic Suppression: Coherence, Transitions, and Material Design

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  • Stanley, Dustyn

Abstract

This work extends the universal 1/E^2 suppression framework to topological matter, demonstrating how entropy-driven coherence decay governs topological invariants, phase transitions, and edge-state stability. We derive modified Chern numbers, predict suppression-induced topological transitions in quantum Hall systems, and establish design principles for entropy-stabilized topological materials. The theory is validated against quantum spin Hall experiments, anyonic interferometry, and high-pressure topological insulator studies. The Chern number becomes energy-dependent under suppression: C(E) = (1/2π) ∫ BZ Ω(k) [1 + (E/E0)^2]^-1 d²k (1) where Ω(k) is the Berry curvature. At E >> E0, C(E) → 0, destroying topological order. In 1D systems, the suppression-modified Zak phase: ϕZ = π/a − π/a ⟨uk|i∂k|uk⟩ [1 + (E/E0)^2]^-1 dk (2) explains the 7.3× reduction in edge-state conductance observed in Bi2Se3 nanowires at E = 0.5E0.

Suggested Citation

  • Stanley, Dustyn, 2025. "Topological Phases Under Entropic Suppression: Coherence, Transitions, and Material Design," OSF Preprints 8ymgk_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:8ymgk_v1
    DOI: 10.31219/osf.io/8ymgk_v1
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