AWhat changed
Li, Chu, Jain and Shen predicted a disorder-induced topological regime in numerical models of HgTe quantum wells, including wells whose clean band structure was not inverted. Calculated conductance plateaus and spin-resolved transmission supported conducting helical edges. Groth and colleagues explained how disorder, together with quadratic momentum terms in the effective Hamiltonian, can reverse the topological mass. Their effective-medium calculation accounted for the weak-disorder onset in finite samples and distinguished it from the strong-disorder localization transition.
Scientific scope
Li, Chu, Jain and Shen predicted a disorder-induced topological regime in numerical models of HgTe quantum wells, including wells whose clean band structure was not inverted. Calculated conductance plateaus and spin-resolved transmission supported conducting helical edges. Groth and colleagues explained how disorder, together with quadratic momentum terms in the effective Hamiltonian, can reverse the topological mass. Their effective-medium calculation accounted for the weak-disorder onset in finite samples and distinguished it from the strong-disorder localization transition. These are predictions and numerical tests for specified noninteracting effective models, rather than electronic experimental observations or exact results for every disordered material. The effective-medium approximation describes the weak-disorder boundary but fails at strong disorder. Finite size, lead doping, spin-block coupling and the difference between a band gap and a mobility gap matter. The mechanism does not imply that adding arbitrary disorder always improves transport.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. These are predictions and numerical tests for specified noninteracting effective models, rather than electronic experimental observations or exact results for every disordered material. The effective-medium approximation describes the weak-disorder boundary but fails at strong disorder. Finite size, lead doping, spin-block coupling and the difference between a band gap and a mobility gap matter. The mechanism does not imply that adding arbitrary disorder always improves transport.
Contributors
- The named authors in the research record · SCIENCE: These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.
- Topological Anderson Insulator (arXiv0811.3045v1)
- Theory of the topological Anderson insulator (arXiv0908.0881v2)
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