K · p theory of the Franz-Keldysh effect

Jorg Hader, Norbert Linder, Gottfried H. Döhler

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We use the k · p formalism to calculate Franz-Keldysh (FK) absorption spectra in direct-band-gap III-V semiconductors. This method allows us to include band anisotropy and nonparabolicity as well as band mixing. With k · p models of various complexity, we investigate how these phenomena influence the main features of the electroabsorption using GaAs as an example. We show that the dependence of the FK absorption on the polarization of the incoming light can be understood in analogy to quasi-two-dimensional systems by mostly decoupled heavy- and light-hole bands involving the anisotropy of the bulk-momentum matrix elements. On the other hand, the FK absorption tail and the periods of the FK oscillations are mainly determined by the realistic energy dispersions of the bands. We discuss the applicability and the limits of simplified models and demonstrate that for most cases the field-induced interband mixing is negligible in comparison with the zero-field coupling of the bands. As an application, we show the consequences for the widely used method to determine the electric field from the FK oscillation periods measured by absorption or photoreflectance experiments. Most of the basic features have been observed in experiments. The qualitative details are of general validity.

Original languageEnglish (US)
Pages (from-to)6960-6974
Number of pages15
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number11
StatePublished - Mar 15 1997
Externally publishedYes

Fingerprint

Anisotropy
Dispersions
Absorption spectra
Momentum
Energy gap
Experiments
Electric fields
Polarization
oscillations
anisotropy
formalism
absorption spectra
momentum
electric fields
polarization
matrices
gallium arsenide
III-V semiconductors
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

K · p theory of the Franz-Keldysh effect. / Hader, Jorg; Linder, Norbert; Döhler, Gottfried H.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 55, No. 11, 15.03.1997, p. 6960-6974.

Research output: Contribution to journalArticle

Hader, Jorg ; Linder, Norbert ; Döhler, Gottfried H. / K · p theory of the Franz-Keldysh effect. In: Physical Review B - Condensed Matter and Materials Physics. 1997 ; Vol. 55, No. 11. pp. 6960-6974.
@article{bcabb4e5e50c493ab4a17a64ca80a821,
title = "K · p theory of the Franz-Keldysh effect",
abstract = "We use the k · p formalism to calculate Franz-Keldysh (FK) absorption spectra in direct-band-gap III-V semiconductors. This method allows us to include band anisotropy and nonparabolicity as well as band mixing. With k · p models of various complexity, we investigate how these phenomena influence the main features of the electroabsorption using GaAs as an example. We show that the dependence of the FK absorption on the polarization of the incoming light can be understood in analogy to quasi-two-dimensional systems by mostly decoupled heavy- and light-hole bands involving the anisotropy of the bulk-momentum matrix elements. On the other hand, the FK absorption tail and the periods of the FK oscillations are mainly determined by the realistic energy dispersions of the bands. We discuss the applicability and the limits of simplified models and demonstrate that for most cases the field-induced interband mixing is negligible in comparison with the zero-field coupling of the bands. As an application, we show the consequences for the widely used method to determine the electric field from the FK oscillation periods measured by absorption or photoreflectance experiments. Most of the basic features have been observed in experiments. The qualitative details are of general validity.",
author = "Jorg Hader and Norbert Linder and D{\"o}hler, {Gottfried H.}",
year = "1997",
month = "3",
day = "15",
language = "English (US)",
volume = "55",
pages = "6960--6974",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "11",

}

TY - JOUR

T1 - K · p theory of the Franz-Keldysh effect

AU - Hader, Jorg

AU - Linder, Norbert

AU - Döhler, Gottfried H.

PY - 1997/3/15

Y1 - 1997/3/15

N2 - We use the k · p formalism to calculate Franz-Keldysh (FK) absorption spectra in direct-band-gap III-V semiconductors. This method allows us to include band anisotropy and nonparabolicity as well as band mixing. With k · p models of various complexity, we investigate how these phenomena influence the main features of the electroabsorption using GaAs as an example. We show that the dependence of the FK absorption on the polarization of the incoming light can be understood in analogy to quasi-two-dimensional systems by mostly decoupled heavy- and light-hole bands involving the anisotropy of the bulk-momentum matrix elements. On the other hand, the FK absorption tail and the periods of the FK oscillations are mainly determined by the realistic energy dispersions of the bands. We discuss the applicability and the limits of simplified models and demonstrate that for most cases the field-induced interband mixing is negligible in comparison with the zero-field coupling of the bands. As an application, we show the consequences for the widely used method to determine the electric field from the FK oscillation periods measured by absorption or photoreflectance experiments. Most of the basic features have been observed in experiments. The qualitative details are of general validity.

AB - We use the k · p formalism to calculate Franz-Keldysh (FK) absorption spectra in direct-band-gap III-V semiconductors. This method allows us to include band anisotropy and nonparabolicity as well as band mixing. With k · p models of various complexity, we investigate how these phenomena influence the main features of the electroabsorption using GaAs as an example. We show that the dependence of the FK absorption on the polarization of the incoming light can be understood in analogy to quasi-two-dimensional systems by mostly decoupled heavy- and light-hole bands involving the anisotropy of the bulk-momentum matrix elements. On the other hand, the FK absorption tail and the periods of the FK oscillations are mainly determined by the realistic energy dispersions of the bands. We discuss the applicability and the limits of simplified models and demonstrate that for most cases the field-induced interband mixing is negligible in comparison with the zero-field coupling of the bands. As an application, we show the consequences for the widely used method to determine the electric field from the FK oscillation periods measured by absorption or photoreflectance experiments. Most of the basic features have been observed in experiments. The qualitative details are of general validity.

UR - http://www.scopus.com/inward/record.url?scp=0002881460&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002881460&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0002881460

VL - 55

SP - 6960

EP - 6974

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 11

ER -