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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 Low-Temperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1-xGex Substrate," Phys. Rev. B 49 (3), 1875-1881 (1994), while the
Boltzmann analysis is used for the high fields in T. Yamada and J. Sone, "High-Field
Electron Transport in Quantum Wires Studied by Solution of the Boltzmann
Equation," Phys. Rev. B 40
(9), 6265- 6271 (1989).
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Monte Carlo (MC) Related Papers
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basic
technique
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Monte Carlo
transport simulation
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hardware
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Electron Transport in 2D LSSL
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2D molecular dynamics MC model
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PRB93 Coupled
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T.
Yamada and D. K.
Ferry, "Coupled
Molecular-Dynamics Monte Carlo Study of the Transport Properties of Lateral
Surface Superlattices,"
Phys. Rev. B 47 (11), 6416-6426
(1993).
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applications
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PRB93 Mag
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T.
Yamada and D. K.
Ferry, "Magnetotransport Properties of Lateral Surface Superlattices by Molecular-Dynamics Monte-Carlo
Simulation," Phys. Rev. B 47 (3), 1444-1452 (1993).
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PRB93 Diff
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T.
Yamada and D. K.
Ferry, "Monte
Carlo Simulation of Diffusion of Interacting Electrons in Lateral Surface Superlattices," Phys. Rev. B 48 (11), 8076-8082 (1993).
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hardware
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Nanocarbon Ultracapacitor
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2D molecular dynamics MC model
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PRB93 Coupled
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T.
Yamada and D. K.
Ferry, "Coupled
Molecular-Dynamics Monte Carlo Study of the Transport Properties of Lateral
Surface Superlattices,"
Phys. Rev. B 47 (11), 6416-6426
(1993).
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applications
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NMDC10
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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. 12-15, 2010. (*corresponding
author)
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Nanotech12
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A. Orphanou*, T. Yamada*,
and C. Y. Yang, "Modeling
of Carbon Nanotube Ultracapacitor,"
Nanotechnology 23 (9), 095401
(2012). (*corresponding authors)
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hardware
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Electron and Hole Transport in
Si/SiGe
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electron transport MC model
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TED94
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T.
Yamada, J.-R.
Zhou, H. Miyata, and D. K. Ferry, "In-Plane
Transport Properties of Si/Si1-xGex Structure and Its FET Performance by
Computer Simulation," IEEE Trans. Electron Devices 41 (19), 1513-1522 (1994).
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applications
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APL93
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H.
Miyata, T. Yamada, and D. K. Ferry, "Electron
Transport Properties of a Strained Si layer on a relaxed Si1-xGex Substrate
by Monte Carlo Simulation," Appl. Phys. Lett. 62
(21), 2661-2663 (1993).
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SST94
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T.
Yamada, J.-R.
Zhou, H. Miyata, and D. K. Ferry, "Velocity
Overshoot in a Modulation Doped Si/ Si1-xGex Structure," Semicond. Sci. Technol. 9 (5S), 775- 777 (1994).
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PRB94
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T.
Yamada, J.-R.
Zhou, H. Miyata, and D. K. Ferry, "Monte
Carlo Study of the Low-Temperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1-xGex Substrate," Phys. Rev. B 49 (3), 1875-1881 (1994).
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hole transport MC model
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SSE95
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T.
Yamada and D. K.
Ferry, "Monte
Carlo Simulation of Hole Transport in Strained Si1-xGex," Solid
State Electronics 38 (4),
881-890 (1995).
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hardware
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SEM Image Analysis
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SEM image MC
model
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APL07
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M. Suzuki, T.
Yamada, and C. Y. Yang, "Monte
Carlo Simulation of SEM Bright-contrast Images of Suspended Carbon Nanofibers," Appl.
Phys. Lett. 90 (8), 083111 (2007) (with NASA, Hitachi, and SCU)
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applications
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JAP06
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M. Suzuki, Y. Ominami, Q. Ngo, T. Yamada,
A. M. Cassell, and C.
Y. Yang, "Bright
Contrast Imaging of Carbon Nanofiber-substrate
Interface," J. Appl. Phys. 100 (10), 104305 (2006). (with
NASA, Hitachi,
and SCU)
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JVSTB07
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M. Suzuki, Q. Ngo,
H. Kitsuki, K. Gleason,
Y. Ominami, C. Y. Yang,
T. Yamada, A. M. Cassell,
and J. Li, "Bright-field
transmission imaging of carbon nanofibers
on bulk substrate using conventional scanning electron microscopy,"
J. Vac. Sci. Technol. B 25
(5)1615-1621 (2007). (with NASA, Hitachi,
and SCU)
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Comparison of Boltzmann vs Monte Carlo (MC) methods in electron transport studies
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Elastic
scattering via AC phonon or impurity
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Inelastic
scattering such as OP phonon
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Boltzmann
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quite
common, a lot of
papers
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uncommon,
very few papers
T.
Yamada and J. Sone, "High-Field
Electron Transport in Quantum Wires Studied by Solution of the Boltzmann
Equation," Phys. Rev. B 40
(9), 6265- 6271 (1989). Cited.
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MC
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uncommon,
very few papers,
T.
Yamada, J.-R. Zhou, H. Miyata, and D. K. Ferry, "Monte
Carlo Study of the Low-Temperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1-xGex Substrate," Phys. Rev. B 49 (3), 1875-1881 (1994).
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quite
common, a lot of
papers
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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 Low-Temperature Mobility of Electrons in a Strained Si
Layer Grown on a Si1-xGex Substrate," Phys. Rev. B 49 (3), 1875-1881 (1994), while the
Boltzmann analysis is used for the high fields in T. Yamada and J. Sone, "High-Field
Electron Transport in Quantum Wires Studied by Solution of the Boltzmann
Equation," Phys. Rev. B 40
(9), 6265- 6271 (1989).
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