Fischetti, Massimo V.Polley, Arup2019-05-312019-05-312018-04-122469-9950https://hdl.handle.net/10735.1/6510In two-dimensional crystals that lack symmetry under reflections on the horizontal plane of the lattice (non-σ_h-symmetric), electrons can couple to flexural modes (ZA phonons) at first order. We show that in materials of this type that also exhibit a Dirac-like electron dispersion, the strong coupling can result in electron pairing mediated by these phonons, as long as the flexural modes are not damped or suppressed by additional interactions with a supporting substrate or gate insulator. We consider several models: The weak-coupling limit, which is applicable only in the case of gapped and parabolic materials, like stanene and HfSe₂, thanks to the weak coupling; the full gap-equation, solved using the constant-gap approximation and considering statically screened interactions; its extensions to energy-dependent gap and to dynamic screening. We argue that in the case of silicene and germanene superconductivity mediated by this process can exhibit a critical temperature of a few degrees K, or even a few tens of degrees K when accounting for the effect of a high-dielectric- constant environment. We conclude that the electron/flexural-modes coupling should be included in studies of possible superconductivity in non-σ_h-symmetric two-dimensional crystals, even if alternative forms of coupling are considered.en©2018 American Physical SocietyElectron-phonon interactionsSuperconductivityTemperatureCrystalsarticleFischetti, Massimo V., and Arup Polley. 2018. "Superconductivity induced by flexural modes in non-σ_h-symmetric Dirac-like two-dimensional materials: A theoretical study for silicene and germanene." Physical Review B 97(14), 10.1103/PhysRevB.97.1445099714