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FranzKeldysh

Franz-Keldysh effect refers to the change of the optical absorption edge of a semiconductor when a static electric field is applied. In a semiconductor with a band gap, the uniform electric field distorts electron and hole wavefunctions, enabling interband transitions that would be forbidden or weak in zero field. This leads to an extension of absorption below the nominal band edge through field-induced tunneling and to oscillatory modulations of the absorption above the edge, known as Franz–Keldysh oscillations.

The effect is described theoretically by solving the electron–hole problem in a linear potential; the solutions

Historically, the phenomenon was described by Franz in 1931 and independently by Keldysh in the 1950s; the

In practical terms, the Franz–Keldysh effect is a basis for electroabsorption modulators and other optoelectronic devices,

involve
Airy
functions
and
yield
a
field-dependent
absorption
spectrum.
It
applies
to
bulk
semiconductors
and
also
to
low-dimensional
structures
such
as
quantum
wells
and
wires,
where
a
related
quantum-confined
Franz–Keldysh
effect
appears.
two
results
are
commonly
combined
as
the
Franz–Keldysh
effect.
The
name
honors
both
contributors.
where
an
applied
voltage
tunes
optical
absorption
and
transmission.
It
remains
a
topic
of
experimental
and
theoretical
study
across
various
semiconductor
materials
and
nanostructures.