Essential properties of a D2+ molecular complex confined in ring-like nanostructures under external probes: Magnetic field and hydrostatic pressure

•The energy states of a D2+ complex confined in a quantum ring were calculated via adiabatic approximation.•We show the effects displayed by the system when is under the presence of magnetic and hydrostatic pressure fields.•The positioning of the donors leads to localized electron states that suppresses the Aharonov–Bohm oscillations.•The hydrostatic pressure enhances the electron-donors coupling and the inter-donor repulsion.•The D2+ complex has a higher molecular stability in comparison with the actual hydrogen ion H2+.

A rigorous adiabatic approximation is used to investigate the energy states of the singly ionized double-donors D2+ complex formed by the coupling of a conduction band electron and two donor centers in a quantum ring with rectangular cross-section. The effects of changing the relative position between the Coulombic centers and the quantum ring geometry parameters, as well as the influence of external probes such as applied magnetic fields and hydrostatic pressure, are particularly studied, highlighting the important contribution of the repulsive inter-center interaction. The suppression of the Aharonov–Bohm ground state oscillations associated with the localization of the electron by the fixed donors is discussed. Comparison between the essential properties of an actual hydrogen ion H2+ and those of the D2+ complex trapped within a quantum ring shows that the strong electron confinement substantially increases the D2+ stability effects.