A model for an artificial hydrogen molecule consisting of two positive on-axis Coulombic centers and two electrons coupled to them inside a double concentric quantum ring is considered. Such a nanostructure is assumed to be under the influence of external probes like hydrostatic pressure and magnetic field. By using the adiabatic approximation, the ground state energy is calculated as a function of the outer center line radius and the impurity Coulombic center separation, for different values of the hydrostatic pressure and magnetic field strength. In contrast to the single properties imposed by nature on the actual hydrogen molecule, our model allows us to explore a great variety of properties of the artificial hydrogen molecule by changing the ring dimensions. The artificial hydrogen molecule energy structure may be tuned by changing the external field strengths.
In this work we investigate the energy states in a D_2^+ complex formed by the coupling of a conduction band electron and two donor centers in a quantum ring with rectangular cross-section. The influences of externally applied probes like electric and magnetic fields and hydrostatic pressure together with the change in the relative position between the two Coulombic centers are particularly studied, highlighting the important contribution of the repulsive inter-center interaction. The destruction of the Aharonov-Bohm oscillations of the ground state associated with the localization of the electron states in the system is discussed.
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