Perturbations in an Electron Gas at Non-zero Temperatures

March, N. H.; Murray, A. M.

doi:10.1088/0370-1328/79/5/312

Cited by 18 publications

(5 citation statements)

References 9 publications

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“…When y / p < 1, the series reduces to unity and the Brooks-Herring field is recovered. It, is of interest to point out here that the criterion, y/B< 1, is in agreement with that (equation (4.7)) given by March and Murray [2] for the validity of the Brooks-Herring form.…”

Section: Non-degeneracysupporting

confidence: 88%

“…When f ( E ) is replaced by the Boltzmann distribution, one finds that As in the case of total degeneracy, one finds again good agreement between the analytic expression and exact numerically computed fields [2]. For paranieters corresponding to a n ionized impurity in typical semiconductors a t room temperature, there are no significant changes from the Brooks-Herring potential.…”

Section: Non-degeneracymentioning

confidence: 58%

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Charge Screening in an Electron Gas of Arbitrary Degeneracy

Alfred

1977

Physica Status Solidi (b)

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Utilizing the dielectric response formulation, analytic expressions are obtained for the screening field around a localized point charge in a non-interacting Fermi-Dirac electron gas of arbitrary degeneracy. Screening field features suggested by the analytic forms are discussed. I n the nondegenerate case, the field is a modified Brooks-Herring one; the predominant form of the screening factor is inverse exponential with a transition to Gaussian in the range kBTr2 < 1.Utilisant les formules de la rkponse diblectrique, on obtient des expressions analytiques pour le champ de blindage d'une charge ponctuelle localisbe dans un gaz Blectronique Fermi-Dirac oh I'effet d'6change a 6th nBglig6. Les caractkristiques du blindage sont 6tudiBes en relation avec les fonctions analytiques obtenues. Dans le cas d'un gaz Blectronique non-d6gBnBrB, on trouve une modification du potentiel de Brooks-Herring; la forme predominante du facteur de blindage est I'inverse de la fonction exponentielle avec une transition iL la fonction de Gauss dam la rBgion kBTra< 1.

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Section: Non-degeneracysupporting

confidence: 88%

Section: Non-degeneracymentioning

confidence: 58%

Charge Screening in an Electron Gas of Arbitrary Degeneracy

Alfred

1977

Physica Status Solidi (b)

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“…(6), it is evident that second-order corrections can be immediately incorporated in the right-hand-side of Eq. (8) if and when they should be required. Since, however, the resulting equation must obviously be solved numerically, as for the second-order non-linear impurity problem,' it is worth noting that the fully non-linear problem posed by solving Eq.…”

Section: Methods To Determine Effective Potential V ( R )mentioning

confidence: 99%

Pair Function and Structure Factor of an Interacting Electron Liquid

Dawson¹,

March²

1984

Physics and Chemistry of Liquids

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Recent work on small angle scattering from liquid metals has caused renewed interest in the electron pair function in the uniform interacting electron liquid, jellium. Therefore we have re-examined this problem, starting from an analysis of the exchange hole, in which the only correlations are due to the Pauli Principle and solely therefore between parallel spin electrons. The pair function g(r) of noninteracting Fermions is expressed in terms of the density of the p-component in the free electron density matrix. This motivates the treatment of the Coulomb repulsion via a potential energy V(r). To close the theory, one must either invoke self-consistency to determine V(r), or relate it to the (direct) correlation function c(r) as in classical liquids. Both methods are briefly considered; the second has the advantage that here the collective plasma oscillations can be introduced through their zero-point energy.

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“…For given V(r), standard methods can, of course, be used to calculate the phase shifts q1 at the Fermi level in Eqs (6) and (7) and hence Ap(r) at large r from Eq. (1).…”

Section: In Ref 3 the Pauli Potential Was Defined Throughmentioning

confidence: 99%