What question did this study set out to answer?

To determine the critical exponent and universality class governing disorder-induced metal-insulator transitions in topological insulators.

August 20, 2026Open Access

Disorder-Driven Metal-Insulator Transition in Topological Insulators with ν ≈ 2.7 — E8 Intelligence Research

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To determine the critical exponent and universality class governing disorder-induced metal-insulator transitions in topological insulators.
Conducted finite-size scaling analysis of localization length in time-reversal symmetric systems governed by Z₂ topological invariants.
Evaluated edge-state conductance quantization (e²/h) alongside mathematical frameworks including the symplectic group Sp(2n) and Bott periodicity.
Identified a critical exponent of ν = 2.7 ± 0.2 for the transition, distinctly higher than the standard Anderson transition value of ν ≈ 1.6.
Observed that the critical exponent ν ≈ 2.7 aligns closely with 8/3 ≈ 2.667, suggesting potential links to conformal field theories with central charge c = 1/2 or 1.

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Implication

Theoretical scaling analysis reveals a metal-insulator transition critical exponent of ν ≈ 2.7 in topological insulators, indicating a distinct universality class from standard Anderson transitions.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a86b5eb8a91293e6a1cd7dd https://doi.org/10.5281/zenodo.21989364

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Disorder-Driven Metal-Insulator Transition in Topological Insulators with ν ≈ 2.7 — E8 Intelligence Research

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Cite This Study

Disorder-Driven Metal-Insulator Transition in Topological Insulators with ν ≈ 2.7 — E8 Intelligence Research

Key Points

Discussion

Implication

Cite This Study

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