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Effective gravity and gauge fields are emergent properties intrinsic forlow-energy quasiparticles in topological semimetals. Here, taking two Diracsemimetals as examples, we demonstrate that applied lattice strain can generatewarped spacetime, with fascinating analogues in astrophysics. Particularly, westudy the possibility of simulating black-hole/white-hole event horizons andgravitational lensing effect. Furthermore, we discover strain-inducedtopological phase transitions, both in the bulk materials and in their thinfilms. Especially in thin films, the transition between the quantum spin Halland the trivial insulating phases can be achieved by a small strain, naturallyleading to the proposition of a novel piezo-topological transistor device.Possible experimental realizations and analogue of Hawking radiation effect arediscussed. Our result bridges multiple disciplines, revealing topologicalsemimetals as a unique table-top platform for exploring interesting phenomenain astrophysics and general relativity; it also suggests realistic materialsand methods to achieve controlled topological phase transitions with greatpotential for device applications.

Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals