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For x large enough to lead to band inversion, and for large d, there are well-known gapless interface states associated with four L valleys. We show that for d \\approx\\ 10 nm the three pairs of states from oblique valleys strongly couple, and become gapped with a gap ~10 meV. On the other hand, the interface states from the [111] valley are essentially uncoupled, and they retain their helical character, remaining an"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1202.2315","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-02-10T17:39:05Z","cross_cats_sorted":[],"title_canon_sha256":"6cffdd9dcee3709fbe044acf503a76aace250eff3f26dfb35138700b12a9f961","abstract_canon_sha256":"9185dfc389f35d1b98314a34c003dcf3aa27f513d92be2ec7729d8a86a836c48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:37.231250Z","signature_b64":"xmja+kz/mv8Y6DEJn57qcxvIcSaMKWB5R4MSM6aEKIqD9eofbd+jsXlrpu132jkxg+zOjEF8E9604KtSo08ZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"796849f6e261eb05a25b6ee3a5fc36d00d3c5125f09b5f98e2ebef67a90fd889","last_reissued_at":"2026-05-18T03:54:37.230716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:37.230716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"PbTe/PbSnTe heterostructures as analogs of topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"{\\L}ukasz Cywi\\'nski, Ryszard Buczko","submitted_at":"2012-02-10T17:39:05Z","abstract_excerpt":"We investigate theoretically the PbTe/PbSnTe heterostructure grown in [111] direction, specifically a quantum wall (potential step of width d) of PbTe embedded in Pb_{1-x}Sn_{x}Te. 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