Fundamentals of Semiconductors: Lecture Notes on Optical Properties and Excitons - Prof. H, Study notes of Electrical and Electronics Engineering

A set of lecture notes from a university course on fundamentals of semiconductors, specifically focusing on optical properties and excitons. The notes cover topics such as absorption, excitons (mott-wannier and frenkel), recombination processes (radiative and non-radiative), and emission efficiency. The document also includes explanations of various types of luminescence and terminology related to semiconductors.

Typology: Study notes

Pre 2010

Uploaded on 08/19/2009

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Grace Xing---EE60556 (Fundamentals of Semiconductors) 1
EE 60556: Fundamentals of Semiconductors
Lecture Note #22 (11/18/08)
Optical properties: recombination
Outline:
1.Last class: absorption, quasi Fermi level
2.Excitons – associated absorption and emission
3.Emission processes: radiative recombination
1.Excitonic
2.Band-to-band
3.Donor-to-acceptor
4.Non-radiative recombination processes:
1.Auger
2.Defects
5.Emission efficiency
6.Some examples
* Note that we discuss only several most important phenomena here. For more possible
scenarios in recombination, please refer to the handout (lecture22-Pankove and
Pierret Ch.5). However, those materials are not required in this class.
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Grace Xing---EE60556 (Fundamentals of Semiconductors)

1

EE 60556: Fundamentals of Semiconductors

Lecture Note #22 (11/18/08)

Optical properties: recombination

Outline:

  1. Last class: absorption, quasi Fermi level
  2. Excitons – associated absorption and emission
  3. Emission processes: radiative recombination
    1. Excitonic
    2. Band-to-band
    3. Donor-to-acceptor
  4. Non-radiative recombination processes:
    1. Auger
    2. Defects
  5. Emission efficiency
  6. Some examples
  • Note that we discuss only several most important phenomena here. For more possible

scenarios in recombination, please refer to the handout (lecture22-Pankove and

Pierret Ch.5). However, those materials are not required in this class.

Grace Xing---EE60556 (Fundamentals of Semiconductors)

2

Exciton in semiconductors

Mott-Wannier excitons

(more like a hydrogen-

atom-like particle in a

background with a

dielectric constant of r

- large screening effect).

Exciton: a pair of electron and hole bound together due to their columbic attraction.

Grace Xing---EE60556 (Fundamentals of Semiconductors)

4

Mott-Wannier excitons

Screening effect – reduced force

between electron and hole.

Hydrogen model used in

activation/binding energy of

  • Dopants
  • Excitons

Cuprous oxide (Eg =2.17 eV) at 77K

Grace Xing---EE60556 (Fundamentals of Semiconductors)

5

Excitons

Kittel Ch.

Another type of exciton: Frenkel exciton

Terminology

  • Photoluminescence: radiative emission as a result of optical excitation
  • Electroluminescence: radiative emission as a result of electrical excitation
  • Cathodoluminescence: radiative emission as a result of electron excitation
  • Chemiluminescence: radiative emission as a result of chemical reaction
  • Triboluminescence: radiative emission as a result of mechanical excitation
  • Fluorescence: luminescence that occurs only during excitation
  • Phosphorescence: luminescence that continues for some time after the

excitation is terminated.

Grace Xing---EE60556 (Fundamentals of Semiconductors)

7

Conduction Band to Valence Band transition

Grace Xing---EE60556 (Fundamentals of Semiconductors)

8

Emission spectrum similar to band-to-band absorption (both direct and indirect)

Peak energy blue shift with increasing n

due to band filling (n-InAs)

impurity

states

Grace Xing---EE60556 (Fundamentals of Semiconductors)

10

Generation processes

Grace Xing---EE60556 (Fundamentals of Semiconductors)

11

Recombination processes

Internal quantum efficiency of InGaN nanowires

Grace Xing---EE60556 (Fundamentals of Semiconductors)

13

By Vladimir Protasenko, Kevin

Goodman @ Notre Dame

Electron

s

Electric field

pumps energy

<1fs

e-e intxn

Energy flow in Nitride HEMTs

Electron

s

Optical

Phonons Electric field

pumps energy

~10fs

  • Optical Phonons cannot

dissipate heat since

group velocity = 0.

  • Optical phonons have to

decay into acoustic

modes to dissipate the

heat.

<1fs

e-e intxn

Energy flow in Nitride HEMTs

Electron

s

Optical

Phonons Electric field

pumps energy

~10fs

~ps

Acoustic

Phonons

  • Optical Phonons cannot

dissipate heat since

group velocity = 0.

  • Optical phonons have to

decay into acoustic

modes to dissipate the

heat.

  • Since generation rate

decay rate, hot-

phonon population builds

up.

<1fs

e-e intxn

Energy flow in Nitride HEMTs

Electron

s

Optical

Phonons Electric field

pumps energy

Heating

Scattering

~10fs

~ps

Acoustic

Phonons

~ms

  • Optical Phonons cannot

dissipate heat since

group velocity = 0.

  • Optical phonons have to

decay into acoustic

modes to dissipate the

heat.

  • Since generation rate

decay rate, hot-

phonon population builds

up.

<1fs

e-e intxn

Time scales for energy flow in

nitrides

Sin

k

Energy flow in Nitride HEMTs

Electron

s

Optical

Phonons Electric field

pumps energy

Heating

Scattering

~10fs

~ps

Acoustic

Phonons

~ms

<1fs

e-e intxn

Time scales for energy flow in

nitrides

Sin

k

Energy flow in Nitride HEMTs