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We investigate theoretically the PbTe/PbSnTe heterostructure grown in [111]direction, specifically a quantum wall (potential step of width d) of PbTeembedded in Pb_{1-x}Sn_{x}Te. For x large enough to lead to band inversion, andfor large d, there are well-known gapless interface states associated with fourL valleys. We show that for d \approx\ 10 nm the three pairs of states fromoblique valleys strongly couple, and become gapped with a gap ~10 meV. On theother hand, the interface states from the [111] valley are essentiallyuncoupled, and they retain their helical character, remaining analogous tostates at surfaces of thin layers of three-dimensional topological insulators.This opens up a possibility of studying the physics of two-dimensional helicalDirac fermions in heterostuctures of already widely studied IV-VIsemicondcutors.

PbTe/PbSnTe heterostructures as analogs of topological insulators