Unified particle approach to Wigner-Boltzmann transport in small semiconductor devices

M Nedjalkov, H Kosina, S Selberherr, C Ringhofer… - Physical Review B …, 2004‏ - APS
Small semiconductor devices can be separated into regions where the electron transport
has classical character, neighboring with regions where the transport requires a quantum …

Wigner ensemble Monte Carlo simulation without splitting error of a GaAs resonant tunneling diode

O Muscato - Journal of Computational Electronics, 2021‏ - Springer
A Monte Carlo technique for the solution of the Wigner transport equation has been
developed, based on the generation and annihilation of signed particles (Nedjalkov et al. in …

Numerical challenges on the road to NanoTCAD

R Kosik - 2004‏ - repositum.tuwien.at
The ever ongoing feature size reduction in state-of-the-art technology causes a continuous
need for refinement and extension of transport models used in technology computer aided …

Semiclassical approximation of electron-phonon scattering beyond Fermi's golden rule

C Ringhofer, H Kosina, M Nedjalkov… - SIAM Journal on Applied …, 2004‏ - SIAM
We derive a quantum mechanical correction to the semiclassical Fermi golden rule operator
for scattering of electrons in a crystal. This correction takes into account the fact that electron …

A stable backward Monte Carlo method for the solution of the Boltzmann equation

H Kosina, M Nedjalkov, S Selberherr - … 2003, Sozopol, Bulgaria, June 4-8 …, 2004‏ - Springer
Abstract Backward Monte Carlo methods for solving the Boltzmann equation are
investigated. A stable estimator is proposed since a previously published estimator was …

Stochastic interpretation of the Wigner transport in nanostructures

M Nedjalkov, H Kosina, S Selberherr - Microelectronics journal, 2003‏ - Elsevier
A stochastic interpretation of the quantum transport in nanoscale electronic devices is
proposed. The Wigner potential is treated as a scattering source which determines the …

Femtosecond evolution of spatially inhomogeneous carrier excitations part II: stochastic approach and grid implementation

T Gurov, E Atanassov, I Dimov… - Large-Scale Scientific …, 2006‏ - Springer
We present a stochastic approach for solving the quantum-kinetic equation introduced in
Part I. A Monte Carlo method based on backward time evolution of the numerical trajectories …

Solving BVPs using quasirandom walks on the boundary

A Karaivanova, M Mascagni, NA Simonov - … 4-8, 2003. Revised Papers 4, 2004‏ - Springer
The” random walk on the boundary” Monte Carlo method has been successfully used for
solving boundary-value problems. This method has significant advantages when compared …

[کتاب][B] High-Performance computin g infrastructure for south east europe's research communities

M Dulea, A Karaivanova, A Oulas, I Liabotis… - 2013‏ - Springer
High-Performance Computing (HPC) is one of the key enablers of scientific research and of
the development of Information Society in Europe. Enabling large-scale innovative research …

[PDF][PDF] Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier

O Muscato, V Di Stefano - Commun. Appl. Ind. Math, 2019‏ - intapi.sciendo.com
The Wigner transport equation can be solved stochastically by Monte Carlo techniques
based on the theory of piecewise deterministic Markov processes. A new stochastic …