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Within the effective mass approximation framework, the electronic and optical properties of GaAs-based two-dimensional eccentric quantum rings subjected to a transverse magnetic field with an inclination  θ -angle to the  x -axis are investigated using a two-dimensional diagonalisation method. The results show that the electron energy spectra in concentric quantum rings reveal transparency to the action of magnetic field orientation, contrary to their optical properties, which turn out to be anisotropic with this later. In addition, the eccentricity preserves the absorption coefficient spectra for  y -polarisation for all orientations of the magnetic field qualitatively, while those of  x -polarisation are significantly modified by eccentricity and magnetic field. Specific peak transitions occurring at specific magnetic field values and  θ -angle can be used as a signature of magnetic field orientation and eccentricity.

Electronic and optical properties of eccentric two dimensional quantum rings subjected to transverse tilted magnetic field