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Abstract Quantum phases of solid-state electron systems can sustain exotic phenomena and a very rich spin physics. We utilize model-solid theory to show that Ge1−xSnx alloys, an emerging group IV semiconductor, can be engineered into heterostructures that demonstrate a broken-gap alignment. Furthermore, the eight-band k·p method is used to disclose a quantum spin Hall phase in heterojunctions that accommodates the existence of gate-controlled chiral edge states.
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