Auger effect in the generalized kinetic theory of electrons and holes

Rossani, A.; Spiga, G.

doi:10.1063/1.2161020

Cited by 11 publications

(2 citation statements)

References 10 publications

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“…not vary appreciably over the momentum relaxation time [7]. Then the momentum balance equations read call the extended thermodynamical one [4].…”

Section: Revised Drift-diffusion Approximationmentioning

confidence: 99%

Relaxation of Energy and Momentum in an Carrier-Phonon System

Rossani¹

2012

JMP

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If electrons (e) and holes (h) in metals or semiconductors are heated to the temperatures Te and Th greater than the lattice temperature Tp, the electron-phonon interaction causes energy relaxation. In the non-uniform case a momentum relaxation occurs as well. In view of such an application, a new model, based on an asymptotic procedure for solving the generalized kinetic equations of carriers and phonons is proposed, which gives naturally the displaced Maxwellian at the leading order. After that, balance equations for the electron number, hole number, energy densities, and momentum densities are constructed, which constitute now a system of five equations for the electron chemical potential, the temperatures and the drift velocities. In the drift-diffusion approximation the constitutive laws are derived and the Onsager relations recovered.

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“…not vary appreciably over the momentum relaxation time [7]. Then the momentum balance equations read call the extended thermodynamical one [4].…”

Section: Revised Drift-diffusion Approximationmentioning

confidence: 99%

Relaxation of Energy and Momentum in an Carrier-Phonon System

Rossani¹

2012

JMP

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“…If the intensity of the photon field is low we must consider the Auger effect [1], which consists of two different processes and their inverse (a) electron capture: an electron fills an hole. The resulting energy is absorbed by another electron , and vice versa e + e + h e * , where * means "more energetic".…”

Section: Introductionmentioning

confidence: 99%

A Hydrodynamical Model for Carriers and Phonons With Generation-Recombination, Including Auger Effect

Rossani¹

2015

Entropy

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The asymptotic procedure proposed allows to derive closed hydrodynamical equations from the kinetic equations of carriers and phonons (treated as a partecipating species) in a photon background. The direct generation-recombination processes are accounted for. The fluid-dynamical equations constructed for the chemical potentials of carriers, temperature, and drift velocity, are related to the extended thermodynamical (ET) ones for the chemical potentials of carriers, temperature, and drift velocity.In the drift-diffusion approximation the constitutive laws are derived and the Onsager relation recovered.

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A three-fluid approach in bipolar semiconductors with generation–recombination: constitutive laws and Onsager symmetry

Rossani

2016

Continuum Mech. Thermodyn.

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Auger effect in the generalized kinetic theory of electrons and holes

Cited by 11 publications

References 10 publications

Relaxation of Energy and Momentum in an Carrier-Phonon System

Relaxation of Energy and Momentum in an Carrier-Phonon System

A Hydrodynamical Model for Carriers and Phonons With Generation-Recombination, Including Auger Effect

A three-fluid approach in bipolar semiconductors with generation–recombination: constitutive laws and Onsager symmetry

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