Abstract
Using the linear response theory, we analyze Friedel oscillations in a one-dimensional non-interacting electron gas in the presence of two impurities with different potential strengths. The impurities potentials are modeled using Dirac delta function, as well as Lorentzian and Gaussian distribution functions. Our findings show that density oscillations are strongly sensitive to both the distance between the impurities and their respective potential strengths. Keywords: one-dimensional electron gas, one impurity, two impurities, Friedel oscillations.
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