Effective mass enhancement of two-dimensional electrons in a one-dimensional superlattice potential

2000 ◽  
Vol 76 (24) ◽  
pp. 3600-3602 ◽  
Author(s):  
Amlan Majumdar ◽  
L. P. Rokhinson ◽  
D. C. Tsui ◽  
L. N. Pfeiffer ◽  
K. W. West
Keyword(s):  
Effective Mass ◽  
Two Dimensional ◽  
One Dimensional ◽  
Mass Enhancement

scholarly journals SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 489-493
Author(s):  
H. Kosina ◽  
C. Troger
Keyword(s):  
Dispersion Relation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Poisson Solver ◽  
Two Dimensional Electron Systems

Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism has been developed which allows to incorporate a nonparabolic bulk dispersion relation into the Schrödinger equation. As a consequence of nonparabolicity the wave functions depend on the in-plane momentum. Each subband is parametrized by its energy, effective mass and a subband nonparabolicity coefficient. The formalism is implemented in a one-dimensional Schrödinger-Poisson solver which is applicable both to silicon inversion layers and heterostructures.

EFFECTS OF ELECTRON-ELECTRON INTERACTIONS IN TWO DIMENSIONS

2009 ◽  
Vol 23 (20n21) ◽  
pp. 4186-4197
Author(s):  
S. V. KRAVCHENKO
Keyword(s):  
Effective Mass ◽  
Two Dimensions ◽  
Relative Mass ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
Strong Electron ◽  
G Factor ◽  
Mass Enhancement ◽  
Electron Interactions

Strong electron-electron interactions in dilute two-dimensional electron systems in silicon lead to Pauli spin susceptibility growing critically at low electron densities. This effect originates from renormalization of the effective mass rather than the g-factor. The relative mass enhancement is system- and disorder-independent, which suggests that it is determined by electron-electron interactions only.

scholarly journals Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

2005 ◽  
Vol 71 (4) ◽  
Author(s):  
R. Asgari ◽  
B. Davoudi ◽  
M. Polini ◽  
Gabriele F. Giuliani ◽  
M. P. Tosi ◽  
...  
Keyword(s):  
Effective Mass ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Many Body ◽  
Self Energy ◽  
Mass Enhancement

Guava Osmotic Dehydration: Description by Two-Dimensional Diffusion Models Considering Shrinkage and Variations in Process Parameters

2016 ◽  
Vol 12 (6) ◽  
pp. 527-536 ◽  
Author(s):  
Juarez Everton de Farias Aires ◽  
Wilton Pereira da Silva ◽  
Kalina Lígia Cavalcante de Almeida Farias Aires ◽  
Aluízio Freire da Silva Júnior ◽  
Deise Souza de Castro ◽  
...  
Keyword(s):  
Effective Mass ◽  
Process Parameters ◽  
Process Model ◽  
Numerical Solutions ◽  
Osmotic Dehydration ◽  
Parameters Estimation ◽  
Two Dimensional ◽  
One Dimensional ◽  
Mass Diffusivity ◽  
Dimensional Models

Abstract This article describes the osmotic dehydration of guava dipped in sucrose solutions using two-dimensional numerical solutions of the diffusion equation with boundary condition of the first kind. Two models are used: model 1 disregards the shrinkage of the product and assumes that effective mass diffusivity does not vary during the process; model 2 takes into account shrinkage, considering effective mass diffusivity as variable. Process parameters estimation is obtained by means of an optimizer. Comparative analyzes indicate that the proposed models have similar statistical indicators. However, model 2 is recommended, for it presents much higher physical fitness when describing mass migrations. Comparison between two-dimensional numerical models presented in this research and one-dimensional models found in the literature reveals that one-dimensional models overestimate process parameters. In addition, one-dimensional models present limitations in predicting the distributions of water and sucrose on guava slices.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj
Keyword(s):  
Energy Transfer ◽  
Effective Mass ◽  
Molecular Crystals ◽  
Single Chain ◽  
Proper Understanding ◽  
One Dimensional ◽  
Interchain Coupling ◽  
Large Polaron ◽  
The One

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

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