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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.
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Grace Xing---EE60556 (Fundamentals of Semiconductors)
1
Outline:
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
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
Screening effect – reduced force
between electron and hole.
Hydrogen model used in
activation/binding energy of
Cuprous oxide (Eg =2.17 eV) at 77K
Grace Xing---EE60556 (Fundamentals of Semiconductors)
5
Kittel Ch.
Another type of exciton: Frenkel exciton
excitation is terminated.
Grace Xing---EE60556 (Fundamentals of Semiconductors)
7
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
Grace Xing---EE60556 (Fundamentals of Semiconductors)
11
Grace Xing---EE60556 (Fundamentals of Semiconductors)
13
By Vladimir Protasenko, Kevin
Goodman @ Notre Dame
Electron
s
Electric field
pumps energy
<1fs
e-e intxn
Electron
s
Optical
Phonons Electric field
pumps energy
~10fs
dissipate heat since
group velocity = 0.
decay into acoustic
modes to dissipate the
heat.
<1fs
e-e intxn
Electron
s
Optical
Phonons Electric field
pumps energy
~10fs
~ps
Acoustic
Phonons
dissipate heat since
group velocity = 0.
decay into acoustic
modes to dissipate the
heat.
decay rate, hot-
phonon population builds
up.
<1fs
e-e intxn
Electron
s
Optical
Phonons Electric field
pumps energy
Heating
Scattering
~10fs
~ps
Acoustic
Phonons
~ms
dissipate heat since
group velocity = 0.
decay into acoustic
modes to dissipate the
heat.
decay rate, hot-
phonon population builds
up.
<1fs
e-e intxn
Time scales for energy flow in
nitrides
Sin
k
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