scholarly journals Theory of Electron Transport in Small Semiconductor Devices Using the Pauli Master Equation

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 173-178 ◽  
Author(s):  
M. V. Fischetti
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Electron Transport ◽  
Master Equation ◽  
Electronic Devices ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Small Length ◽  
One Dimensional ◽  
Pauli Master Equation

It is argued that the Pauli master equation can be used to simulate electron transport in very small electronic devices under steady-state conditions. Written in a basis of suitable wavefunctions and with the appropriate open boundary conditions, this equation removes some of the approximations which render the Boltzmann equation unsatisfactory at small length-scales. The main problems consist in describing the interaction of the system with the reservoirs and in assessing the range of validity of the equation: Only devices smaller than the size of the electron wavepackets injected from the contacts can be handled. Two one-dimensional examples solved by a simple Monte Carlo technique are presented.

scholarly journals Monte Carlo and hydrodynamic simulation of a one dimensional n+ – n – n+ silicon diode

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 247-250 ◽  
Author(s):  
O. Muscato ◽  
R. M. Pidatella ◽  
M. V. Fischetti
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Electron Transport ◽  
Hydrodynamic Model ◽  
Closure Relation ◽  
Hydrodynamic Simulation ◽  
One Dimensional ◽  
Silicon Diode ◽  
Entropy Principle

An improved closure relation - based on the entropy principle - is implemented in a Hydrodynamic model for electron transport. Steady-state electron transport in the “benchmark” n+ - n - n+ submicron silicon diode is simulated and the quality of the model is assessed by comparison with Monte Carlo results.

A Monte Carlo study of electron‐hole scattering and steady‐state minority‐electron transport in GaAs

1988 ◽  
Vol 53 (22) ◽  
pp. 2205-2207 ◽  
Author(s):  
K. Sadra ◽  
C. M. Maziar ◽  
B. G. Streetman ◽  
D. S. Tang
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Electron Transport ◽  
Monte Carlo Study ◽  
Electron Hole

How changes in the crystal temperature and the doping concentration impact upon bulk wurtzite zinc oxide’s electron transport response

MRS Advances ◽  
2019 ◽  
Vol 4 (50) ◽  
pp. 2673-2678
Author(s):  
Poppy Siddiqua ◽  
Walid A. Hadi ◽  
Michael S. Shur ◽  
Stephen K. O’Leary
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Electron Transport ◽  
Drift Velocity ◽  
Doping Concentration ◽  
Electron Drift ◽  
Crystal Temperature ◽  
Transient Transport ◽  
Transport Response ◽  
The Impact

ABSTRACTThe role that changes in the crystal temperature and the doping concentration play in shaping the character of the steady-state and transient transport response of electrons within bulk wurtzite zinc oxide will be examined. Monte Carlo electron transport simulations are drawn upon for the purposes of this analysis. We find that both the crystal temperature and the doping concentration greatly influence the character of the steady-state and transient electron transport response. In particular, for the case of steady-state electron transport, the peak drift velocity decreases by 30% as the crystal temperature is increased from 100 to 700 K, this decrease in velocity being only 20% as the doping concentration is increased from 1015 to 1019 cm-3. The impact on the transient electron drift velocity is not as acute.

scholarly journals A one-dimensional many-body integrable model from Zn Belavin model with open boundary conditions

1998 ◽  
Vol 39 (9) ◽  
pp. 4746-4758 ◽  
Author(s):  
Heng Fan ◽  
Bo-Yu Hou ◽  
Guang-Liang Li ◽  
Kang-Jie Shi ◽  
Yan-Shen Wang
Keyword(s):  
Boundary Conditions ◽  
Integrable Model ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Many Body ◽  
One Dimensional

Linear collapse of spatially linear, two-dimensional null points

2002 ◽  
Vol 68 (3) ◽  
pp. 221-235 ◽  
Author(s):  
C. MELLOR ◽  
V. S. TITOV ◽  
E. R. PRIEST
Keyword(s):  
Steady State ◽  
Boundary Conditions ◽  
Plasma Flow ◽  
Magnetic Force ◽  
Open Boundary ◽  
Two Dimensional ◽  
Open Boundary Conditions ◽  
Pressure Force ◽  
Large Current ◽  
Steady State Balance

A technique is developed for analysing the linear collapse properties of spatially linear two-dimensional null points with open boundary conditions. A treatment is given of the collapse of nulls which have current and flow so that they are initially in a steady-state balance between a magnetic force, a pressure force and a centrifugal force. This extends the previous results for initially current-free X-type nulls with no flow. It is found that all X-points, regardless of the current and flow tend to collapse. Also, O-points collapse in the absence of a plasma flow, but O-points with a large current and possessing a highly super-Alfvénic plasma flow can be stable against linear collapse.

Role of open boundary conditions on the hysteretic behaviour of one-dimensional spin crossover nanoparticles

2014 ◽  
Vol 115 (19) ◽  
pp. 194309 ◽  
Author(s):  
Daniel Chiruta ◽  
Jorge Linares ◽  
Seiji Miyashita ◽  
Kamel Boukheddaden
Keyword(s):  
Boundary Conditions ◽  
Spin Crossover ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Hysteretic Behaviour ◽  
One Dimensional
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