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It is interesting to compare the latter result with that derived ZANįor electrons in a simple-band 2D semiconductor or metal.
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As k changes from k p, two parts of this contour coalesce creating aĭouble pole at the point ( θ, θ ′ ) = ( 0, π ). Points is a contour in the plane ( θ, θ ′ ) which we show Those points where the denominator vanishes, except for θ = θ ′ where the singularity is cancelled by the factor. First, we use δ M and δ E to rewrite the denominator in the integral ( 10) as k 2 − ( k ′ ) 2 = 2 ( k − p ) ( p − p ′ ) = 2 k p ( cos θ − cos θ ′ ) − 2 p 2, where θ = ˆ k p and θ ′ = ˆ k p ′. To evaluate its contribution we extend the analysis The linear temperature dependence of δ τ − 1 T ZAN is due to a singularity at k = k ′ in the integral ( 10). Temperature-dependent parts, δ τ − 1 = δ τ − 1 0 + δ τ − 1 T. The Bragg scattering correction to the momentum relaxation rate ( 10) can be separated into zero-temperature and Temperature range ϵ F > T > h / τ confirmed in recentĮxperiments on semiconductor heterostructures and Si field-effect Resistivity ZAN DasSarma GlazmanAleiner Stern in a ’ballistic’ Long-range FO strongly renormalises the momentum relaxation rate, τ − 1 for quasi-particles near the Fermi level, ϵ ≈ ϵ F, which leads to a linear temperature dependence of the InĢD electron systems Bragg scattering off the potential created by these In a non-relativistic degenerate two-dimensional (2D) Fermi gas Oscillations with distance r from the impurity obeys a power lawĭependence. At zero temperature the decay of the amplitude δ ρ of these Of the response function of the Fermi liquid at wave vector 2 k F. Oscillations originate from the singular behavior Longer than the Thomas-Fermi screening length. Oscillations (FO) of the electron density around a defectįriedel are felt by scattered electrons at a distance much Long-range tail of a charged impurity potential, Friedel While Thomas-Fermi screening suppresses the Screening strongly influences properties of impurities in metalsĪnd semiconductors.