The Monte Carlo method for the solution of charge transport in semiconductors with applications to covalent materials

Jacoboni, Carlo; Reggiani, L.

doi:10.1103/revmodphys.55.645

Cited by 2,198 publications

(1,205 citation statements)

References 119 publications

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“…(7) with the rejection technique. 58 Then q * is calculated from Eq. (6), and the angle between k ′ * and k * is obtained by energy and momentum conservation.…”

Section: B Intrinsic Scattering Mechanismsmentioning

confidence: 99%

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Spin and energy relaxation in germanium studied by spin-polarized direct-gap photoluminescence

et al. 2013

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Spin orientation of photoexcited carriers and their energy relaxation is investigated in bulk Ge by studying spin-polarized recombination across the direct band gap. The control over parameters such as doping and lattice temperature is shown to yield high polarization degree, namely larger than 40%, as well as a fine-tuning of the angular momentum of the emitted light with a complete reversal between right-and left-handed circular polarization. By combining the measurement of the optical polarization state of band-edge luminescence and Monte Carlo simulations of carrier dynamics, we show that these very rich and complex phenomena are the result of the electron thermalization and cooling in the multi-valley conduction band of Ge. The circular polarization of the direct-gap radiative recombination is indeed affected by energy relaxation of hot electrons via the X valleys and the Coulomb interaction with extrinsic carriers. Finally, thermal activation of unpolarized L valley electrons accounts for the luminescence depolarization in the high temperature regime.

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“…(7) with the rejection technique. 58 Then q * is calculated from Eq. (6), and the angle between k ′ * and k * is obtained by energy and momentum conservation.…”

Section: B Intrinsic Scattering Mechanismsmentioning

confidence: 99%

“…Using the BrooksHerring approach, 58 we get a total scattering rate for ionized impurity with density N I :…”

Section: Scattering Mechanisms In Doped Samplesmentioning

confidence: 99%

Spin and energy relaxation in germanium studied by spin-polarized direct-gap photoluminescence

et al. 2013

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“…In the case of electrons, the above treatment is not immediately applicable, but we can perform a (non-unitary) transformation into a space in which the effective mass of the electrons can be treated as constant. This transformation is termed a Herring-Vogt transformation [99,100]. Because the transformation is non-unitary, the magnitude of the phonon wavevector q must be re-scaled after the wavevector undergoes the reverse transformation, to ensure energy conservation.…”

Section: Emission Of Phonons By Charge Carriersmentioning

confidence: 99%

“…On the other hand, it is inefficient to employ a constant time step, as the derivative of the emission rate with respect to energy is also energy-dependent, and thus imposing an absolute maximum time step suitable for high-energy carriers would result in low-energy carriers propagating on simple parabolic paths for a large number of steps. The DMC's charge transport algorithm has evolved multiple times; here, I will describe the Herring-Vogt transform [100] used to model the anisotropic and only the two most recently employed algorithms, which were utilized in all validation studies of the charge transport system presented in 4.5.…”

Section: Charge Propagation and The Herring-vogt Transformmentioning

confidence: 99%

Detector Simulation and WIMP Search Analysis for the Cryogenic Dark Matter Search Experiment

McCarthy¹

2013

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Astrophysical and cosmological measurements on the scales of galaxies, galaxy clusters, and the universe indicate that ∼85% of the matter in the universe is composed of dark matter, made up of non-baryonic particles that interact with cross-sections on the weak scale or lower. Hypothetical Weakly Interacting Massive Particles, or WIMPs, represent a potential solution to the dark matter problem, and naturally arise in certain Standard Model extensions.The Cryogenic Dark Matter Search (CDMS) collaboration aims to detect the scattering of WIMP particles from nuclei in terrestrial detectors. Germanium and silicon particle detectors are deployed in the Soudan Underground Laboratory in Minnesota. These detectors are instrumented with phonon and ionization sensors, which allows for discrimination against electromagnetic backgrounds, which strike the detector at rates orders of magnitude higher than the expected WIMP signal.This dissertation presents the development of numerical models of the physics of the CDMS detectors, implemented in a computational package collectively known as the CDMS Detector Monte Carlo (DMC). After substantial validation of the models against data, the DMC is used to investigate potential backgrounds to the next iteration of the CDMS experiment, known as SuperCDMS. Finally, an investigation of using the DMC in a reverse Monte Carlo analysis of WIMP search data is presented.140.23 kg-days of WIMP search data from the silicon detectors in the CDMSII experiment is also analyzed. The resulting upper limits on the WIMP-nucleon crosssection are higher than those published by other experiments at all WIMP masses, and the lowest limit on the WIMP-nucleon cross-section is 1.07*10 −42 cm 2 at a mass 3 of 60 GeV/c 2 . These results do provide new and interesting constraints at WIMP masses ≤40 GeV/c 2 and cross sections from 10 −42 -10 −39 cm 2 , a region in which some WIMP search experiments have claimed evidence for a WIMP signal, which other experiments claim to have ruled out.

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“…In the context of full-band Monte Carlo (FBMC) device simulation, the elastic equipartition approximation [8] for acoustic phonon scattering has proved very useful. On the one hand, the scattering rate then depends on energy only and not on the wave vector, thus facilitating the search of the state after scattering.…”

Section: Introductionmentioning

confidence: 99%

Simplified Inelastic Acoustic—Phonon Hole Scattering Model for Silicon

Bufler¹,

Schenk²,

Fichtner³

2001

Simulation of Semiconductor Processes and Devices 2001

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A simplified model for inelastic acoustic phonon scattering of holes in silicon is developed. It consists in approximating both the acoustic phonon energy and the square of the phonon wave vector by lattice-temperature dependent constants. The resulting scattering rate depends only on energy and thus facilitates the search of after-scattering-states during full-band Monte Carlo simulation. The simulation results for the velocity-field characteristics accurately agree with the experimental data at different lattice temperatures, while the population of hot-hole states is significantly enhanced compared to the elastic equipartition approximation. The value of the energy relaxation time to be used in hydrodynamic device simulations is roughly 0.1 ps.

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The Monte Carlo method for the solution of charge transport in semiconductors with applications to covalent materials

Cited by 2,198 publications

References 119 publications

Spin and energy relaxation in germanium studied by spin-polarized direct-gap photoluminescence

Spin and energy relaxation in germanium studied by spin-polarized direct-gap photoluminescence

Detector Simulation and WIMP Search Analysis for the Cryogenic Dark Matter Search Experiment

Simplified Inelastic Acoustic—Phonon Hole Scattering Model for Silicon

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