Electron Gas

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W. J. Nellis - One of the best experts on this subject based on the ideXlab platform.

  • Shock compression of a free-Electron Gas
    Journal of Applied Physics, 2003
    Co-Authors: W. J. Nellis
    Abstract:

    The shock compression curve (Hugoniot) of a free-Electron Gas was calculated and evaluated numerically for a metal with a Fermi energy of 5 eV. Shock pressure, internal energy, and temperature were calculated as functions of compression. The Hugoniot curve has a limiting compression of fourfold of initial density and agrees with expected limiting values at small and large compressions. Above a compression of ∼3.3-fold of initial density, a shock pressure of ∼250 GPa (2.5 Mbar), and a temperature of ∼10 eV, free Electrons are a nondegenerate ideal Gas. Shock pressures of the free Electron Gas are a factor of 104 larger at all compressions than those of an ideal Gas of nuclei with the same number density, indicative of the strong effect of Fermi–Dirac and Maxwell–Boltzmann statistics. This simple free-Electron model calculates shock compression curves of Li and Na, which differ by ∼50% from experimental data, illustrating that interactions between Electrons and nuclei must be taken into account, as expected.

Daniele Varsano - One of the best experts on this subject based on the ideXlab platform.

  • Spin effects in the 2D Electron Gas
    Solid State Communications, 2001
    Co-Authors: Gaetano Senatore, Saverio Moroni, Daniele Varsano
    Abstract:

    Abstract Spin affects the properties of the Electron Gas in a subtle way. The quantitative and, in fact, even the qualitative determination of spin dependent properties in this system requires calculations of extreme accuracy. Here, we review predictions of fixed-node diffusion Monte Carlo simulations with Slater–Jastrow as well as backflow nodes for the 2D Electron Gas at zero temperature, focusing on the spin-polarization dependence of the ground state energy and on the occurrence of spontaneous spin-polarization. We also analyze the enhancement of the spin susceptibility (with respect to the Pauli value), over a wide range of densities. Finally we discuss the form of effective ElectronElectron interactions that may be used to estimate the possibility of spontaneous superconductivity in the 2D Electron Gas.

  • Spin effects in the 2D Electron Gas
    Solid State Communications, 2001
    Co-Authors: Gaetano Senatore, Saverio Moroni, Daniele Varsano
    Abstract:

    Spin affects the properties of the Electron Gas in a subtle way. The quantitative and, in fact, even the qualitative determination of spin dependent properties in this system requires calculations of extreme accuracy. Here, we review predictions of fixed-node diffusion Monte Carlo simulations with Slater-Jastrow as well as backflow nodes for the 2D Electron Gas at zero temperature, focusing on the spin-polarization dependence of the ground state energy and on the occurrence of spontaneous spin-polarization. We also analyze the enhancement of the spin susceptibility (with respect to the Pauli value), over a wide range of densities. Finally we discuss the form of effective Electron-Electron interactions that may be used to estimate the possibility of spontaneous superconductivity in the 2D Electron Gas. (C) 2001 Elsevier Science Ltd. All rights reserved

M. Akbari-moghanjoughi - One of the best experts on this subject based on the ideXlab platform.

  • Quantized plasmon excitations of Electron Gas in potential well
    Physics of Plasmas, 2019
    Co-Authors: M. Akbari-moghanjoughi
    Abstract:

    Using the Schrodinger-Poisson system in this paper, the basic quantum features of plasmon excitations in a free noninteracting Electron Gas with arbitrary degeneracy are investigated. The standing wave solution of the free Electron Gas is derived from the corresponding linearized pseudo-force system with appropriate boundary conditions. It is shown that the plasmon excitation energies for Electron Gas confined in an infinite potential well are quantized eigenvalues of which are obtained. It is found that any arbitrary degenerate quantum Electron Gas possesses two different characteristic length scales, unlike the classical dilute Electron Gas, with the smaller length scale corresponding to the single particle oscillation and the larger one due to the collective Langmuir excitations. The probability density of the free Electron Gas in a box contains fine structures which are modulated over a larger pattern. The envelope probability density profile for the Electron Fermi Gas confined in an impenetrable well in different energy states is found to be quite similar to that of the free Electron confined to an infinite potential well. However, the illustrative features of the plasmon theory presented in this research can be further elaborated in order to illuminate a wide range of interesting physical phenomena involving both the single particle and the collective features.Using the Schrodinger-Poisson system in this paper, the basic quantum features of plasmon excitations in a free noninteracting Electron Gas with arbitrary degeneracy are investigated. The standing wave solution of the free Electron Gas is derived from the corresponding linearized pseudo-force system with appropriate boundary conditions. It is shown that the plasmon excitation energies for Electron Gas confined in an infinite potential well are quantized eigenvalues of which are obtained. It is found that any arbitrary degenerate quantum Electron Gas possesses two different characteristic length scales, unlike the classical dilute Electron Gas, with the smaller length scale corresponding to the single particle oscillation and the larger one due to the collective Langmuir excitations. The probability density of the free Electron Gas in a box contains fine structures which are modulated over a larger pattern. The envelope probability density profile for the Electron Fermi Gas confined in an impenetrable well...

A. Bergara - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Quantum Hydrodynamic Model for the Electron Gas
    Spectroscopy and Dynamics of Collective Excitations in Solids, 1997
    Co-Authors: A. Bergara
    Abstract:

    It is well known that the hydrodynamic model of the Electron Gas is suitable when the Electron density can be considered as the fundamental magnitude, small wavelength effects being less important. This is the case when the Electron Gas is excited by the passage of swift particles. In this paper we make use of the Quantum Hydrodynamical Model of the Electron Gas to derive, within this model, the nonlinear wake potential of the fast charged particles passing through matter, the Barkas effect, and the double-plasmon excitation probabilities. This is compared with the results obtained following the many-body schemes of the random-phase-approximation (RPA).

  • Nonlinear quantum hydrodynamical model of the Electron Gas
    Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms, 1996
    Co-Authors: A. Bergara, José María Pitarke, R. H. Ritchie
    Abstract:

    Abstract It is well known that the hydrodynamical model of the Electron Gas is suitable when the Electron density can be considered as the fundamental quantity, small wavelength effects being less important. This is the case when the Electron Gas is excited by the passage of swift charged particles. In this paper we make use of the quantum hydrodynamical model of the Electron Gas to derive, within this model, the nonlinear wake potential of fast charged particles passing through matter, the Barkas effect, and double-plasmon excitation probabilities. This is compared with results obtained by following many-body schemes within the random-phase-approximation.

Gaetano Senatore - One of the best experts on this subject based on the ideXlab platform.

  • Spin effects in the 2D Electron Gas
    Solid State Communications, 2001
    Co-Authors: Gaetano Senatore, Saverio Moroni, Daniele Varsano
    Abstract:

    Abstract Spin affects the properties of the Electron Gas in a subtle way. The quantitative and, in fact, even the qualitative determination of spin dependent properties in this system requires calculations of extreme accuracy. Here, we review predictions of fixed-node diffusion Monte Carlo simulations with Slater–Jastrow as well as backflow nodes for the 2D Electron Gas at zero temperature, focusing on the spin-polarization dependence of the ground state energy and on the occurrence of spontaneous spin-polarization. We also analyze the enhancement of the spin susceptibility (with respect to the Pauli value), over a wide range of densities. Finally we discuss the form of effective ElectronElectron interactions that may be used to estimate the possibility of spontaneous superconductivity in the 2D Electron Gas.

  • Spin effects in the 2D Electron Gas
    Solid State Communications, 2001
    Co-Authors: Gaetano Senatore, Saverio Moroni, Daniele Varsano
    Abstract:

    Spin affects the properties of the Electron Gas in a subtle way. The quantitative and, in fact, even the qualitative determination of spin dependent properties in this system requires calculations of extreme accuracy. Here, we review predictions of fixed-node diffusion Monte Carlo simulations with Slater-Jastrow as well as backflow nodes for the 2D Electron Gas at zero temperature, focusing on the spin-polarization dependence of the ground state energy and on the occurrence of spontaneous spin-polarization. We also analyze the enhancement of the spin susceptibility (with respect to the Pauli value), over a wide range of densities. Finally we discuss the form of effective Electron-Electron interactions that may be used to estimate the possibility of spontaneous superconductivity in the 2D Electron Gas. (C) 2001 Elsevier Science Ltd. All rights reserved