Band structure and optical properties of sinusoidal superlattices

G. Yang, Sang Hoon Lee, J. Furdyna

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper examines the band structure and optical selection rules in superlattices with a sinusoidal potential profile. The analysis is motivated by the recent successful fabrication of high quality (Formula presented) superlattices in which the composition x varies sinusoidally along the growth direction. Although the band alignment in the (Formula presented) sinusoidal superlattices is staggered (type II), they exhibit unexpectedly strong photoluminescence, thus suggesting interesting optical behavior. The band structure of such sinusoidal superlattices is formulated in terms of the nearly-free-electron (NFE) approximation, in which the superlattice potential is treated as a perturbation. The resulting band structure is unique, characterized by a single minigap separating two wide, free-electron-like subbands for both electrons and holes. Interband selection rules are derived for optical transitions involving conduction and valence-band states at the superlattice Brillouin-zone center, and at the zone edge. A number of transitions are predicted due to wave-function mixing of different subband states. It should be noted that the zone-center and zone-edge transitions are especially easy to distinguish in these superlattices because of the large width of the respective subbands. The results of the NFE approximation are shown to hold surprisingly well over a wide range of parameters, particularly when the period of the superlattice is short.

Original languageEnglish
Pages (from-to)10978-10984
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume61
Issue number16
DOIs
Publication statusPublished - 2000 Jan 1
Externally publishedYes

Fingerprint

Superlattices
Band structure
superlattices
Optical properties
optical properties
free electrons
Electrons
Optical transitions
Wave functions
Valence bands
Conduction bands
approximation
Brillouin zones
optical transition
Photoluminescence
alignment
wave functions
valence
photoluminescence
conduction

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Band structure and optical properties of sinusoidal superlattices. / Yang, G.; Lee, Sang Hoon; Furdyna, J.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 61, No. 16, 01.01.2000, p. 10978-10984.

Research output: Contribution to journalArticle

@article{31152648937a4608af78e34d7b4d73e4,
title = "Band structure and optical properties of sinusoidal superlattices",
abstract = "This paper examines the band structure and optical selection rules in superlattices with a sinusoidal potential profile. The analysis is motivated by the recent successful fabrication of high quality (Formula presented) superlattices in which the composition x varies sinusoidally along the growth direction. Although the band alignment in the (Formula presented) sinusoidal superlattices is staggered (type II), they exhibit unexpectedly strong photoluminescence, thus suggesting interesting optical behavior. The band structure of such sinusoidal superlattices is formulated in terms of the nearly-free-electron (NFE) approximation, in which the superlattice potential is treated as a perturbation. The resulting band structure is unique, characterized by a single minigap separating two wide, free-electron-like subbands for both electrons and holes. Interband selection rules are derived for optical transitions involving conduction and valence-band states at the superlattice Brillouin-zone center, and at the zone edge. A number of transitions are predicted due to wave-function mixing of different subband states. It should be noted that the zone-center and zone-edge transitions are especially easy to distinguish in these superlattices because of the large width of the respective subbands. The results of the NFE approximation are shown to hold surprisingly well over a wide range of parameters, particularly when the period of the superlattice is short.",
author = "G. Yang and Lee, {Sang Hoon} and J. Furdyna",
year = "2000",
month = "1",
day = "1",
doi = "10.1103/PhysRevB.61.10978",
language = "English",
volume = "61",
pages = "10978--10984",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Institute of Physics Publising LLC",
number = "16",

}

TY - JOUR

T1 - Band structure and optical properties of sinusoidal superlattices

AU - Yang, G.

AU - Lee, Sang Hoon

AU - Furdyna, J.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - This paper examines the band structure and optical selection rules in superlattices with a sinusoidal potential profile. The analysis is motivated by the recent successful fabrication of high quality (Formula presented) superlattices in which the composition x varies sinusoidally along the growth direction. Although the band alignment in the (Formula presented) sinusoidal superlattices is staggered (type II), they exhibit unexpectedly strong photoluminescence, thus suggesting interesting optical behavior. The band structure of such sinusoidal superlattices is formulated in terms of the nearly-free-electron (NFE) approximation, in which the superlattice potential is treated as a perturbation. The resulting band structure is unique, characterized by a single minigap separating two wide, free-electron-like subbands for both electrons and holes. Interband selection rules are derived for optical transitions involving conduction and valence-band states at the superlattice Brillouin-zone center, and at the zone edge. A number of transitions are predicted due to wave-function mixing of different subband states. It should be noted that the zone-center and zone-edge transitions are especially easy to distinguish in these superlattices because of the large width of the respective subbands. The results of the NFE approximation are shown to hold surprisingly well over a wide range of parameters, particularly when the period of the superlattice is short.

AB - This paper examines the band structure and optical selection rules in superlattices with a sinusoidal potential profile. The analysis is motivated by the recent successful fabrication of high quality (Formula presented) superlattices in which the composition x varies sinusoidally along the growth direction. Although the band alignment in the (Formula presented) sinusoidal superlattices is staggered (type II), they exhibit unexpectedly strong photoluminescence, thus suggesting interesting optical behavior. The band structure of such sinusoidal superlattices is formulated in terms of the nearly-free-electron (NFE) approximation, in which the superlattice potential is treated as a perturbation. The resulting band structure is unique, characterized by a single minigap separating two wide, free-electron-like subbands for both electrons and holes. Interband selection rules are derived for optical transitions involving conduction and valence-band states at the superlattice Brillouin-zone center, and at the zone edge. A number of transitions are predicted due to wave-function mixing of different subband states. It should be noted that the zone-center and zone-edge transitions are especially easy to distinguish in these superlattices because of the large width of the respective subbands. The results of the NFE approximation are shown to hold surprisingly well over a wide range of parameters, particularly when the period of the superlattice is short.

UR - http://www.scopus.com/inward/record.url?scp=0000146270&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000146270&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.61.10978

DO - 10.1103/PhysRevB.61.10978

M3 - Article

VL - 61

SP - 10978

EP - 10984

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 16

ER -