The size and even the sign of the effect upon variation of the electronĭensity or spin polarisation of the 2D gas by an external magnetic field. In the latterĬase, R ( T ) is formed by the competition of the Hartree and FockĬontributions which have different signs, which may lead to the change of It is interesting to compare the latter result with that derived ZANįor electrons in a simple-band 2D semiconductor or metal. 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.
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