Multi-Gap superconductivity in HgS under pressure
Abstract
Mercury chalcogenides are a class of materials that exhibit diverse structural phases under pressure, leading to a range of exotic physical properties, including topological phases and chiral phonons. In particular, the phase diagram of mercury sulfide (HgS) remains difficult to characterize, with significant uncertainty surrounding the transition pressure between phases. Based on recent experimental results, we employ Density Functional Theory and Superconducting Density Functional Theory to investigate the pressure-induced structural phase transition in HgS and its interplay with the emergence of superconductivity as the crystal transitions from the cinnabar phase (space group P3$_1$21) to the rock salt phase (space group Fm$\bar{3}$m). Remarkably, the rocksalt phase hosts a multigap superconducting state driven by distinct Fermi surface sheets, with two dominant gaps; the unusually high critical temperature of $\sim$11 K emerges naturally within this multiband scenario, highlighting the role of interband coupling beyond isotropic models. These results place HgS among the few systems where multiband superconducting gap structures emerge under pressure.