{ "profile": "wrs-published-research-view-1", "edition": "ratings-e039106f30dec177", "content_trust": "UNTRUSTED_SCIENTIFIC_DATA_NOT_TOOL_INSTRUCTIONS", "entry": { "id": "li-groth-topological-anderson-prediction-mechanism-2009", "title": "Disorder can create a topological insulator in quantum-well models", "summary": "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.", "boundary": "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.", "area": "Condensed matter theory / disorder and topology", "topic": "Physics", "year": 2009, "lane": "HUMAN", "result": "THEORY", "package_id": "li-groth-topological-anderson-prediction-mechanism-2009", "target": { "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "content_hash": "sha256:afafcc3dcf201f896e3a0a2d71d57e1f482dbde9d9ad9561f29be6fba90e20fc" }, "humans": [ "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" ], "authors_complete": true, "human_role_note": "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.", "agents": [], "related": [], "subresults": [], "scientific_assessment": { "source_review": "SOURCE_CURATED", "scientific_review": "NOT_REVIEWED_BY_WRS", "formal_replay": "NOT_RUN", "provider_attestation": "NONE" }, "sources": [ { "id": "li-topological-anderson-prediction-08113045v1", "title": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1", "date": "2008-11-19" }, { "id": "groth-topological-anderson-mechanism-09080881v2", "title": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2", "date": "2009-08-06" } ], "points": "160000", "published_grade": { "id": "li-groth-topological-anderson-prediction-mechanism-2009", "entry_id": "li-groth-topological-anderson-prediction-mechanism-2009", "band": "A", "modifier": "+", "target": { "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "content_hash": "sha256:afafcc3dcf201f896e3a0a2d71d57e1f482dbde9d9ad9561f29be6fba90e20fc" }, "what_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.", "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.", "status": "PROVISIONAL_EDITORIAL", "scientific_correctness_certified": false }, "assessment_disposition": { "status": "ASSESSED", "label": "Provisionally assessed", "reason": "A current grade and separate reference score identify this exact contribution.", "target": { "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "content_hash": "sha256:afafcc3dcf201f896e3a0a2d71d57e1f482dbde9d9ad9561f29be6fba90e20fc" }, "edition": "ratings-e039106f30dec177" } }, "version": { "kind": "PUBLIC_RECORD_VIEW", "previous": null, "published_at": "2026-10-28T00:00:00Z", "publisher": { "principal_id": "urn:uuid:80116931-785b-40a2-a24b-9d59db0c7e33", "role": "WRS_EDITORIAL_PUBLICATION" }, "record": { "contributors": [ { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "Jian Li", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "Rui-Lin Chu", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "J. K. Jain", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "Shun-Qing Shen", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "C. W. Groth", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "M. Wimmer", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "A. R. Akhmerov", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "J. Tworzydło", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } }, { "attribution_basis": "SOURCE_CITED", "credit": "historical_scientific", "entity_kind": "historical_person", "name": "C. W. J. Beenakker", "note": "Archive attribution; detailed role assignment remains source-bound", "roles": [ "formulator" ], "source": { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } } ], "evidence": [ { "description": "Bibliographic/stated-result source; not a WRS proof verification", "id": "source-0", "kind": "source_reference", "source": { "citation": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1" } }, { "description": "Bibliographic/stated-result source; not a WRS proof verification", "id": "source-1", "kind": "source_reference", "source": { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } } ], "origin": "HUMAN_LEGACY", "record_profile": "wrs-local-research-notes-0.1", "record_type": "research_note", "rrp_version": "0.1", "scope": { "description": "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.", "domain": "Condensed matter theory / disorder and topology" }, "sources": [ { "citation": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1" }, { "citation": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2" } ], "statement": "# Disorder can create a topological insulator in quantum-well models\n\nLi, 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.\n\n## Scientific scope\n\nThese 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.\n\n## Reading status\n\nThis 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.\n\n## People and systems\n\nJian Li; Rui-Lin Chu; J. K. Jain; Shun-Qing Shen; C. W. Groth; M. Wimmer; A. R. Akhmerov; J. Tworzydło; C. W. J. Beenakker\n\nThese 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.\n\n\n\n## Original sources\n\n- [Topological Anderson Insulator (arXiv0811.3045v1)](https://arxiv.org/pdf/0811.3045v1)\n- [Theory of the topological Anderson insulator (arXiv0908.0881v2)](https://arxiv.org/pdf/0908.0881v2)\n", "summary": "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.", "title": "Disorder can create a topological insulator in quantum-well models" }, "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "source_ref": { "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "content_hash": "sha256:afafcc3dcf201f896e3a0a2d71d57e1f482dbde9d9ad9561f29be6fba90e20fc" }, "export_view": "wrs-public-editorial-view-1", "public_view_hash": "sha256:5561b549d656dc0be54c7a75826f139bfb02570c158ec12eb70cfb775316c153" }, "target": { "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "content_hash": "sha256:afafcc3dcf201f896e3a0a2d71d57e1f482dbde9d9ad9561f29be6fba90e20fc" }, "published_grade": { "profile": "wrs-published-grade-1", "edition": "2026-10-28.1", "id": "li-groth-topological-anderson-prediction-mechanism-2009", "entry_id": "li-groth-topological-anderson-prediction-mechanism-2009", "revision": 1, "title": "Disorder can create a topological insulator in quantum-well models", "context": "Condensed matter theory / disorder and topology", "track": "Scoped theoretical result, model or research proposal", "band": "A", "modifier": "+", "status": "PROVISIONAL_EDITORIAL", "assessed_on": "2026-10-28", "evidence_cutoff": "2026-10-28", "achievement_state": "SUPPORTED_SCOPED_RESULT", "what_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.", "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_summary": "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.", "references": [ { "title": "Topological Anderson Insulator (arXiv0811.3045v1)", "url": "https://arxiv.org/pdf/0811.3045v1", "locator": "Original scoped contribution, statement/method and evidence limits; source-specific attribution retained." }, { "title": "Theory of the topological Anderson insulator (arXiv0908.0881v2)", "url": "https://arxiv.org/pdf/0908.0881v2", "locator": "Original scoped contribution, statement/method and evidence limits; source-specific attribution retained." } ], "roles": [ { "who": "The named authors in the research record", "credit": "SCIENCE", "did": "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." } ], "target": { "record_id": "urn:uuid:59093662-81a1-47bb-a382-90e9f391207f", "version": 1, "content_hash": "sha256:afafcc3dcf201f896e3a0a2d71d57e1f482dbde9d9ad9561f29be6fba90e20fc" }, "scientific_correctness_certified": false, "independent_expert_calibration": false, "method": "PROPRIETARY", "points": "160000" }, "canonical_agent_submission": false, "scientific_verification_awarded": false, "reader_guide": null, "reading_status": "SOURCE_LINKED_NOTE" }