Absence of sizable superconductivity in hydrogen boride: A first-principles study

Abstract

The recently synthesized hydrogen boride monolayer in the $Cmmm$ phase is a promising superconductor due to its similarity to ${\mathrm{MgB}}_{2}$ and the large hydrogen content in its structure. Making use of first-principles calculations based on density functional theory, we study its electronic, vibrational, and superconducting properties and conclude that despite the expectations, hydrogen boride does not have a sizable superconducting critical temperature. The presence of hydrogen in the system alters the boron-boron bonding, weakening the electron-phonon interaction. We have studied the effect of enhancing the critical temperature by doping the system, but the inclusion of electrons or holes reveals this to be ineffective. We attribute the small critical temperature of this system to the vanishing hydrogen character of the states at the Fermi level, which are dominated by boron $p$ states. Our results hint at a possible relation between the presence of a large proportion of hydrogenlike states at the Fermi level and a large superconducting critical temperature in hydrogenated monolayers.