Characteristic lengths for three-carrier transport with spin-flip and electron-hole recombination

The exact solution of the linearized, steady-state transport equation for three-carrier systems, such as can occur for semiconductors and ionic conductors, is constructed starting from the near-equilibrium entropy-production requirements of irreversible thermodynamics. Three characteristic modes are...

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Bibliographic Details
Published in:Physical review. B 2016-05, Vol.93 (19), Article 195401
Main Authors: Krcmar, Maja, Saslow, Wayne M.
Format: Article
Language:English
Subjects:
Condensed matter
Diffusion
Diffusivity
Exact solutions
Mathematical analysis
Screening
Semiconductors
Transport equations
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Summary:The exact solution of the linearized, steady-state transport equation for three-carrier systems, such as can occur for semiconductors and ionic conductors, is constructed starting from the near-equilibrium entropy-production requirements of irreversible thermodynamics. Three characteristic modes are found, one associated with electrostatic screening (which is often neglected), and two modes associated with diffusion and "reactions." For a spintronics model with up and down electrons and unpolarized holes, the "reactions" are spin-flip and electron-hole recombination. We discuss how the variations in carrier density, diffusivity, recombination rate, and spin relaxation time affect the characteristic lengths. We apply these modes to study spin-polarized surface photoabsorption.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.93.195401