One-dimensional rarefactive solitons in electron-hole semiconductor plasmas

Yunliang Wang, Bengt Eliasson

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We present a theory for linear and nonlinear excitations in semiconductor quantum plasmas consisting of electrons and holes. The system is governed by two coupled nonlinear Schrödinger equations for the collective wave functions of the electrons and holes and Poisson's equation for the electrostatic potential. This gives a closed system including the effects of charge separation between the electrons and holes, quantum tunneling, quantum statistics, and exchange correlation due to electron spin. Three typical semiconductors, GaAs, GaSb, and GaN, are studied. For small-amplitude excitations, the dispersion relation reveals the existence of one high-frequency branch due to charge-separation effects and one low-frequency branch due to the balance between pressure and inertia of the electrons and holes. For the fully nonlinear excitations, the profiles of quasistationary soliton solutions are obtained numerically and show depleted electron and hole densities correlated with a localized potential. The simulation results show that the rarefactive solitons are stable and can withstand perturbations and turbulence for a considerable time.
LanguageEnglish
Article number205316
Number of pages5
JournalPhysical Review B (Condensed Matter)
Volume89
Issue number20
DOIs
Publication statusPublished - 27 May 2014

Fingerprint

Semiconductor plasmas
semiconductor plasmas
Solitons
solitary waves
Electrons
polarization (charge separation)
electrons
excitation
quantum statistics
Semiconductor materials
Poisson equation
inertia
electron spin
nonlinear equations
Wave functions
Nonlinear equations
turbulence
wave functions
Electrostatics
electrostatics

Keywords

  • quantum plasma
  • solitons
  • semiconductor
  • electrons
  • holes
  • nonlinear schrodinger equations

Cite this

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One-dimensional rarefactive solitons in electron-hole semiconductor plasmas. / Wang, Yunliang; Eliasson, Bengt.

In: Physical Review B (Condensed Matter), Vol. 89, No. 20, 205316, 27.05.2014.

Research output: Contribution to journalArticle

TY - JOUR

T1 - One-dimensional rarefactive solitons in electron-hole semiconductor plasmas

AU - Wang, Yunliang

AU - Eliasson, Bengt

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Y1 - 2014/5/27

N2 - We present a theory for linear and nonlinear excitations in semiconductor quantum plasmas consisting of electrons and holes. The system is governed by two coupled nonlinear Schrödinger equations for the collective wave functions of the electrons and holes and Poisson's equation for the electrostatic potential. This gives a closed system including the effects of charge separation between the electrons and holes, quantum tunneling, quantum statistics, and exchange correlation due to electron spin. Three typical semiconductors, GaAs, GaSb, and GaN, are studied. For small-amplitude excitations, the dispersion relation reveals the existence of one high-frequency branch due to charge-separation effects and one low-frequency branch due to the balance between pressure and inertia of the electrons and holes. For the fully nonlinear excitations, the profiles of quasistationary soliton solutions are obtained numerically and show depleted electron and hole densities correlated with a localized potential. The simulation results show that the rarefactive solitons are stable and can withstand perturbations and turbulence for a considerable time.

AB - We present a theory for linear and nonlinear excitations in semiconductor quantum plasmas consisting of electrons and holes. The system is governed by two coupled nonlinear Schrödinger equations for the collective wave functions of the electrons and holes and Poisson's equation for the electrostatic potential. This gives a closed system including the effects of charge separation between the electrons and holes, quantum tunneling, quantum statistics, and exchange correlation due to electron spin. Three typical semiconductors, GaAs, GaSb, and GaN, are studied. For small-amplitude excitations, the dispersion relation reveals the existence of one high-frequency branch due to charge-separation effects and one low-frequency branch due to the balance between pressure and inertia of the electrons and holes. For the fully nonlinear excitations, the profiles of quasistationary soliton solutions are obtained numerically and show depleted electron and hole densities correlated with a localized potential. The simulation results show that the rarefactive solitons are stable and can withstand perturbations and turbulence for a considerable time.

KW - quantum plasma

KW - solitons

KW - semiconductor

KW - electrons

KW - holes

KW - nonlinear schrodinger equations

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