scholarly journals 3D Simulations of Ultra-small MOSFETs with Real-space Treatment of the Electron – Electron and Electron-ion Interactions

VLSI Design ◽  
2000 ◽  
Vol 10 (4) ◽  
pp. 437-452 ◽  
Author(s):  
W. J. Gross ◽  
D. Vasileska ◽  
D. K. Ferry
Keyword(s):  
Short Range ◽  
Coulomb Force ◽  
Real Space ◽  
Density Fluctuations ◽  
Range Interaction ◽  
Ensemble Monte Carlo ◽  
Interaction Terms ◽  
Ion Interactions ◽  
Low Field ◽  
Scattering Potential

We present a 3D Ensemble Monte Carlo particle-based simulator with a novel realspace treatment of the short-range electron – electron and electron-ion interactions. By using a corrected Coulomb force in conjunction with a proper cutoff range, the shortrange portion of the force is properly accounted for, and the ‘double counting’ of the long-range interaction is eliminated. The proposed method naturally incorporates the multi-ion contributions, local distortions in the scattering potential due to the movement of the free charges, and carrier-density fluctuations. The doping dependence of the low-field mobility obtained from 3D resistor simulations closely follows experimental results, thus supporting the appropriateness of the proposed scheme. Simulations of ultra-small MOSFETs demonstrate that the short-range electron – electron and electronion interactions are responsible for the fast thermalization of the carriers at the drain end of the device, which occurs over distances that are on the order of few nanometers. The omission of the short-range portions of these two interaction terms leads to significant overestimation of the distance over which carriers thermalize.

scholarly journals Real space probe of short-range interaction between Cr in a ferromagnetic semiconductor ZnCrTe

Nanoscale ◽  
2014 ◽  
Vol 6 (24) ◽  
pp. 14667-14673 ◽  
Author(s):  
Ken Kanazawa ◽  
Taku Nishimura ◽  
Shoji Yoshida ◽  
Hidemi Shigekawa ◽  
Shinji Kuroda
Keyword(s):  
Scanning Tunneling Microscopy ◽  
Short Range ◽  
Magnetic Interaction ◽  
Real Space ◽  
Ferromagnetic Semiconductor ◽  
Scanning Tunneling ◽  
Space Probe ◽  
Short Range Interaction ◽  
Tunneling Microscopy ◽  
Range Interaction

We have revealed the short-range character of the magnetic interaction between Cr atoms in (Zn,Cr)Te by scanning tunneling microscopy.

Static critical behaviors in random-spin systems with short-range interaction

1978 ◽  
Vol 56 (1) ◽  
pp. 139-148 ◽  
Author(s):  
Yoshitake Yamazaki
Keyword(s):  
Short Range ◽  
Spin Systems ◽  
Three Dimensions ◽  
Index Formula ◽  
Spin Component ◽  
Renormalization Group Theory ◽  
Short Range Interaction ◽  
Range Interaction ◽  
The Stability ◽  
Component Models

Critical behaviors in quenched random-spin systems with N-spin component are studied in the limit M → 0 of the non-random MN-component models by means of the renormalization group theory. As the static critical phenomena the stability of the fixed points is investigated and the critical exponents η[~ O(ε3); ε ≡ 4 – d], γ, α, and crossover index [Formula: see text] and the equation of state [~ O(ε)] are obtained. Within the approximation up to the order ε2, even the random-spin systems with N = 2 or 3 are unstable in the three dimensions and the pure systems are stable there.

scholarly journals Short-Range Interaction Impact on Two-Dimensional Dipolar Scattering

2018 ◽  
Vol 173 ◽  
pp. 06008 ◽  
Author(s):  
Eugene A. Koval ◽  
Oksana A. Koval
Keyword(s):  
Cross Section ◽  
Short Range ◽  
Strong Dependence ◽  
Dipolar Interaction ◽  
Two Dimensional ◽  
Short Range Interaction ◽  
Range Interaction ◽  
Interaction Radius ◽  
Ultracold Polar Molecules ◽  
Spatial Dimensions

We report numerical investigation of the short range interaction influence on the two-dimensional quantum scattering of two dipoles. The model simulates two ultracold polar molecules collisions in two spatial dimensions. The used algorithm allows us to quantitatively analyse the scattering of two polarized dipoles with account for strongly anisotropic nature of dipolar interaction. The strong dependence of the scattering total cross section on the short range interaction radius was discovered for threshold collision energies. We also discuss differences of calculated scattering cross section dependencies for different polarisation axis tilt angles.

Surface excitations in the random phase approximation

1970 ◽  
Vol 48 (21) ◽  
pp. 2592-2605 ◽  
Author(s):  
John Harris ◽  
Allan Griffin
Keyword(s):  
Random Phase Approximation ◽  
Short Range ◽  
Function Method ◽  
Wigner Distribution ◽  
Random Phase ◽  
Density Fluctuations ◽  
Wigner Distribution Function ◽  
Surface Modes ◽  
Inhomogeneous Systems ◽  
Two Component

Density fluctuations in inhomogeneous systems are treated in the RPA using the Kadanoff–Baym Green's function method. In our analysis, the Wigner distribution function plays an important role. Well-known results for surface plasmons in one- and two-component plasmas are very easy to derive. A brief discussion is given of surface modes in systems for which the interaction is of short range.

KINETIC EQUATION FOR A GAS WITH LONG-RANGE ATTRACTION

1967 ◽  
Vol 45 (11) ◽  
pp. 3555-3567 ◽  
Author(s):  
R. A. Elliott ◽  
Luis de Sobrino
Keyword(s):  
Kinetic Equation ◽  
Long Range ◽  
Short Range ◽  
Kinetic Equations ◽  
Perturbation Expansion ◽  
Interparticle Distance ◽  
Range Interaction ◽  
Short Range Repulsion ◽  
Self Consistent Field ◽  
Range Force

A classical gas whose particles interact through a weak long-range attraction and a strong short-range repulsion is studied. The Liouville equation is solved as an infinite-order perturbation expansion. The terms in this series are classified by Prigogine-type diagrams according to their order in the ratio of the range of the interaction to the average interparticle distance. It is shown that, provided the range of the short-range force is much less than the average interparticle distance which, in turn, is much less than the range of the long-range force, the terms can be grouped into two classes. The one class, represented by chain diagrams, constitutes the significant contributions of the short-range interaction; the other, represented by ring diagrams, makes up, apart from a self-consistent field term, the significant contributions from the long-range force. These contributions are summed to yield a kinetic equation. The orders of magnitude of the terms in this equation are compared for various ranges of the parameters of the system. Retaining only the dominant terms then produces a set of eight kinetic equations, each of which is valid for a definite range of the parameters of the system.

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