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Disorder can create a topological insulator in quantum-well models

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.

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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.

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Scientific scope

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.

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People and systems

Jian Li; Rui-Lin Chu; J. K. Jain; Shun-Qing Shen; C. W. Groth; M. Wimmer; A. R. Akhmerov; J. Tworzydło; C. W. J. Beenakker

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English catalogue narrative

Disorder can create a topological insulator in quantum-well models

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

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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Jian Li; Rui-Lin Chu; J. K. Jain; Shun-Qing Shen; C. W. Groth; M. Wimmer; A. R. Akhmerov; J. Tworzydło; C. W. J. Beenakker

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.

Original sources