Electron Correlations at Metallic Densities

Singwi, K. S.; Tosi, M. P.; Land, R. H.; Sjölander, A.

doi:10.1103/physrev.176.589

Cited by 1,250 publications

(701 citation statements)

References 20 publications

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“…10 This dispersion can be obtained by using a local-field-correction theory that takes account of the exchange-correlation effects. 17,18 The singleparticle excitation ͑SPE͒ continuum for the infinite area extends on the right side of the dotted curve. A region between two vertical lines indicates the whole probed dispersion region for ␣ = 0.5°that covers all the scattering into the analyzer window with a = 0.58°.…”

Section: Resultsmentioning

confidence: 99%

Predicted energy-loss spectrum of low-dimensional plasmons in a metallic strip monolayer on a semiconductor surface

Inaoka

2005

Phys. Rev. B

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In view of high-resolution electron-energy-loss spectroscopy, we predict the energy-loss spectrum of lowdimensional ͑LD͒ plasmons in a metallic strip monolayer on a semiconductor surface. By means of the time-dependent local density approximation, we calculate the dynamical response of our electron system to some typical trajectories of a probe electron incident on the surface along the strip. As shown in our previous work, the energy dispersion of the LD plasmons is composed of a series of dispersion branches where the node number in oscillation of the induced electron density across the strip increases one by one with ascending energy. These branches can produce a series of loss peaks in the spectrum. The branch of the two-node modes gives rise to an outstanding loss peak, and the branches of the zero-node modes ͑symmetric edge plasmons͒ and the four-node modes also create significant loss peaks, when the intersection of the scattering plane with the surface plane runs around the center line of the strip region. The branch of the one-node modes ͑antisym-metric edge plasmons͒ yields a remarkable loss peak, when the intersection runs just near one of the strip edges. These loss peaks should actually be observed in the spectrum, if there are a sufficient number of strip regions in a surface area illuminated by an electron beam.

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Section: Resultsmentioning

confidence: 99%

Predicted energy-loss spectrum of low-dimensional plasmons in a metallic strip monolayer on a semiconductor surface

Inaoka

2005

Phys. Rev. B

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“…With aϭ0 in Eq. ͑19͒ correspondence is obtained with the theory of Singwi et al, 13 in which the density correlation function in the presence of an external weak field is approximated by an expression containing the equilibrium pair correlation function. With nonzero a allowance is made for the change in the pair correlation function in an external field through the density derivative of the equilibrium pair correlation function.…”

Section: ͑11͒mentioning

confidence: 99%

Exchange-correlation energy of a hole gas including valence band coupling

et al. 1997

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We have calculated an accurate exchange-correlation energy of a hole gas, including the complexities related to the valence band coupling as occurring in semiconductors like GaAs, but excluding the band warping. A parametrization for the dependence on the density and the ratio between light-and heavy-hole masses is given. We apply our results to a hole gas in an Al x Ga 1Ϫx As/GaAs/Al x Ga 1Ϫx As quantum well and calculate the two-dimensional band structure and the band-gap renormalization. The inclusion of the valence band coupling in the calculation of the exchange-correlation potentials for holes and electrons leads to a much better agreement between theoretical and experimental data than when it is omitted. ͓S0163-1829͑97͒03931-3͔

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“…However, it is well-known that the RPA neglects the Pauli and Coulomb hole surrounding each particle and is not satisfactory approximation at low densities 2 . Therefore a number of authors have studied beyond-RPA effects by including the static LFF such as in the Singwi-Tosi-Land-Sjölander (STLS) approach 3 . A common viewpoint is the need to incorporate dynamic correlations and the importance of dynamic LFF is evidence.…”

Section: Introductionmentioning

confidence: 99%

Electron and spin correlations in semiconductor heterostructures: Quantum Singwi–Tosi–Land–Sjolander theory

Sơn

2006

Physica B: Condensed Matter

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We apply the quantum Singwi-Tosi-Land-Sjölander (QSTLS) theory for a study of many-body effects in the quasi-two-dimensional (Q2D) electron liquid (EL) in GaAs/Al x Ga 1−x As heterojunctions. The effect of the layer thickness is included through a variational approach. We have calculated the density, spin-density static structure factors, spin-dependent pair distribution functions (PDF) and compared our results with those of two-dimensional (2D) EL given in earlier papers. Using the static structure factors (SSF) we have calculated various dynamic correlation functions such as spin-dependent local-field factors (LFF) and effective potentials of the Q2D EL. We have also calculated the inverse static dielectric function of the 2D and Q2D EL using different approximations. We find that the effect of finite thickness on the dielectric function is remarkable and at the intermediate values of wave number q there is a significant difference between the QSTLS and STLS results.

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Electron Correlations at Metallic Densities

Cited by 1,250 publications

References 20 publications

Predicted energy-loss spectrum of low-dimensional plasmons in a metallic strip monolayer on a semiconductor surface

Predicted energy-loss spectrum of low-dimensional plasmons in a metallic strip monolayer on a semiconductor surface

Exchange-correlation energy of a hole gas including valence band coupling

Electron and spin correlations in semiconductor heterostructures: Quantum Singwi–Tosi–Land–Sjolander theory

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