
I
sometimes receive questions about the Monte Carlo
technique. This chart is a quick overview for the papers so far. Basically, a
physical model is developed for the given hardware first and then it is
applied to various situations of interest. Results are compared with experiments.
If
you want to create a Monte Carlo code from
scratch, papers in the blue
sections are good to start. If you are already familiar with the
technique, you would skip to the yellow sections.
In
the electron transport studies, the Monte
Carlo is more appropriate for high fields, while the
Boltzmann analysis is more appropriate for low fields. But sometimes, the
other method is used for the undue case in the research phase. In the Monte Carlo is used for
the zero field in T. Yamada, J.R. Zhou, H. Miyata,
and D. K. Ferry, "Monte
Carlo Study of the LowTemperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1xGex Substrate," Phys. Rev. B 49 (3), 18751881 (1994), while the
Boltzmann analysis is used for the high fields in T. Yamada and J. Sone, "HighField
Electron Transport in Quantum Wires Studied by Solution of the Boltzmann
Equation," Phys. Rev. B 40
(9), 6265 6271 (1989).
Monte Carlo (MC) Related Papers




basic
technique


Monte Carlo
transport simulation

hardware


Electron Transport in 2D LSSL

2D molecular dynamics MC model

PRB93 Coupled

T.
Yamada and D. K.
Ferry, "Coupled
MolecularDynamics Monte Carlo Study of the Transport Properties of Lateral
Surface Superlattices,"
Phys. Rev. B 47 (11), 64166426
(1993).

applications

PRB93 Mag

T.
Yamada and D. K.
Ferry, "Magnetotransport Properties of Lateral Surface Superlattices by MolecularDynamics MonteCarlo
Simulation," Phys. Rev. B 47 (3), 14441452 (1993).


PRB93 Diff

T.
Yamada and D. K.
Ferry, "Monte
Carlo Simulation of Diffusion of Interacting Electrons in Lateral Surface Superlattices," Phys. Rev. B 48 (11), 80768082 (1993).




hardware


Nanocarbon Ultracapacitor

2D molecular dynamics MC model

PRB93 Coupled

T.
Yamada and D. K.
Ferry, "Coupled
MolecularDynamics Monte Carlo Study of the Transport Properties of Lateral
Surface Superlattices,"
Phys. Rev. B 47 (11), 64166426
(1993).

applications

NMDC10

A. Orphanou, T. Yamada*, and C.
Y. Yang, "Modeling carbon nanotube ultracapacitor,"
IEEE Nanotechnology Materials and Devices Conference 2010 (invited, NMDC
2010), Monterey, CA, Oct. 1215, 2010. (*corresponding
author)


Nanotech12

A. Orphanou*, T. Yamada*,
and C. Y. Yang, "Modeling
of Carbon Nanotube Ultracapacitor,"
Nanotechnology 23 (9), 095401
(2012). (*corresponding authors)




hardware


Electron and Hole Transport in
Si/SiGe

electron transport MC model

TED94

T.
Yamada, J.R.
Zhou, H. Miyata, and D. K. Ferry, "InPlane
Transport Properties of Si/Si1xGex Structure and Its FET Performance by
Computer Simulation," IEEE Trans. Electron Devices 41 (19), 15131522 (1994).

applications

APL93

H.
Miyata, T. Yamada, and D. K. Ferry, "Electron
Transport Properties of a Strained Si layer on a relaxed Si1xGex Substrate
by Monte Carlo Simulation," Appl. Phys. Lett. 62
(21), 26612663 (1993).


SST94

T.
Yamada, J.R.
Zhou, H. Miyata, and D. K. Ferry, "Velocity
Overshoot in a Modulation Doped Si/ Si1xGex Structure," Semicond. Sci. Technol. 9 (5S), 775 777 (1994).


PRB94

T.
Yamada, J.R.
Zhou, H. Miyata, and D. K. Ferry, "Monte
Carlo Study of the LowTemperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1xGex Substrate," Phys. Rev. B 49 (3), 18751881 (1994).




hole transport MC model

SSE95

T.
Yamada and D. K.
Ferry, "Monte
Carlo Simulation of Hole Transport in Strained Si1xGex," Solid
State Electronics 38 (4),
881890 (1995).




hardware


SEM Image Analysis

SEM image MC
model

APL07

M. Suzuki, T.
Yamada, and C. Y. Yang, "Monte
Carlo Simulation of SEM Brightcontrast Images of Suspended Carbon Nanofibers," Appl.
Phys. Lett. 90 (8), 083111 (2007) (with NASA, Hitachi, and SCU)

applications

JAP06

M. Suzuki, Y. Ominami, Q. Ngo, T. Yamada,
A. M. Cassell, and C.
Y. Yang, "Bright
Contrast Imaging of Carbon Nanofibersubstrate
Interface," J. Appl. Phys. 100 (10), 104305 (2006). (with
NASA, Hitachi,
and SCU)


JVSTB07

M. Suzuki, Q. Ngo,
H. Kitsuki, K. Gleason,
Y. Ominami, C. Y. Yang,
T. Yamada, A. M. Cassell,
and J. Li, "Brightfield
transmission imaging of carbon nanofibers
on bulk substrate using conventional scanning electron microscopy,"
J. Vac. Sci. Technol. B 25
(5)16151621 (2007). (with NASA, Hitachi,
and SCU)










Comparison of Boltzmann vs Monte Carlo (MC) methods in electron transport studies

Elastic
scattering via AC phonon or impurity

Inelastic
scattering such as OP phonon

Boltzmann

quite
common, a lot of
papers

uncommon,
very few papers
T.
Yamada and J. Sone, "HighField
Electron Transport in Quantum Wires Studied by Solution of the Boltzmann
Equation," Phys. Rev. B 40
(9), 6265 6271 (1989). Cited.

MC

uncommon,
very few papers,
T.
Yamada, J.R. Zhou, H. Miyata, and D. K. Ferry, "Monte
Carlo Study of the LowTemperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1xGex Substrate," Phys. Rev. B 49 (3), 18751881 (1994).

quite
common, a lot of
papers

In
the electron transport studies, the Monte
Carlo is more appropriate for high fields, while the
Boltzmann analysis is more appropriate for low fields. But sometimes, the
other method is used for the undue case in the research phase. In the Monte Carlo is used for
the zero field in T. Yamada, J.R. Zhou, H. Miyata,
and D. K. Ferry, "Monte
Carlo Study of the LowTemperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1xGex Substrate," Phys. Rev. B 49 (3), 18751881 (1994), while the
Boltzmann analysis is used for the high fields in T. Yamada and J. Sone, "HighField
Electron Transport in Quantum Wires Studied by Solution of the Boltzmann
Equation," Phys. Rev. B 40
(9), 6265 6271 (1989).

