2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113347We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum spin Hall effect. As a result, we theoretically predict that bismuth will show the quantum spin Hall effect, both by calculating the helical edge states, and by showing the non-triviality of the Z_2 topological number, and propose possible experiments.5 pages, 2 figures, accepted for publication in Phys. Rev. LettMesoscale and Nanoscale PhysicsMaterials Sciencetext