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We explore various aspects of magneto-conductance oscillations insemiconductor nanowires, developing quantum transport models based on thenon-equilibrium Green's function formalism. In the clean case, Aharonov-Bohm(AB - h/e) oscillations are found to be dominant, contingent upon the surfaceconfinement of electrons in the nanowire. We also numerically study disorderednanowires of finite length, bridging a gap in the existing literature. Byvarying the nanowire length and disorder strength, we identify the transitionwhere Al'tshuler-Aronov-Spivak (AAS - h/2e) oscillations start dominating,noting the effects of considering an open system. Moreover, we demonstrate howthe relative magnitudes of the scattering length and the device dimensionsgovern the relative dominance of these harmonics with energy, revealing thatthe AAS oscillations emerge and start dominating from the center of the band,much higher in energy than the conduction band-edge. We also show the ways ofsuppressing the oscillatory components (AB and AAS) to observe thenon-oscillatory weak localization corrections, noting the interplay ofscattering, incoherence/dephasing, the geometry of electronic distribution, andorientation of magnetic field. This is followed by a study of surface roughnesswhich shows contrasting effects depending on its strength and type, rangingfrom magnetic depopulation to strong AAS oscillations. Subsequently, we showthat dephasing causes a progressive degradation of the higher harmonics,explaining the re-emergence of the AB component even in long and disorderednanowires. Lastly, we show that our model qualitatively reproduces theexperimental magneto-conductance spectrum in [Holloway et al, PRB 91, 045422(2015)] reasonably well while demonstrating the necessity ofspatial-correlations in the disorder potential, and dephasing.

Non-equilibrium Green's function study of magneto-conductance features and oscillations in clean and disordered nanowires