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Ferroelectric quantum spin Hall insulator (FEQSHI) exhibits coexistingferroelectricity and time-reversal symmetry protected edge states, holdingfascinating prospects for inviting both scientific and application advances,especially in two dimensions. However, all of the previously demonstratedFEQSHIs consist two or more constituent elements. We herein propose the$\psi$-bismuthene, an uncharted allotrope of bilayer Bi (110), to be the firstexample of 2D elemental FEQSHI. It is demonstrated that $\psi$-bismutheneharbors measurable ferroelectric polarization and nontrivial band gap withmoderate switching barrier, which are highly beneficial for the detection andobservation of the ferroelectric topologically insulating states. In addition,all-angle auxetic behavior with giant negative Poisson's ratio andferroelectric controllable persistent spin helix in $\psi$-bismuthene are alsodiscussed. The emergent elemental FEQSHI represents a novel domain for bothfundamental physics and technological innovation.

Elemental Ferroelectric Topological Insulator in $\psi$-bismuthene