One-dimensional rarefactive solitons in electron-hole semiconductor plasmas

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Wang, Yunliang and Eliasson, Bengt (2014) One-dimensional rarefactive solitons in electron-hole semiconductor plasmas. Physical Review B (Condensed Matter), 89 (20). 205316. ISSN 0163-1829 (https://doi.org/10.1103/PhysRevB.89.205316)

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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.

ORCID iDs

Wang, Yunliang and Eliasson, Bengt ORCID logoORCID: https://orcid.org/0000-0001-6039-1574;
  • Item type:Article
    ID code:48335
    Dates:
    Date
    Event
    27 May 2014
    Published
    1 May 2014
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:29 May 2014 10:38
    Last modified:11 Nov 2024 10:42
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/48335
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