IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 55, NO. 6, JUNE 2008 1529
Localized Electric Field Mapping in Planar
Semiconductor Structures
Pavlos Andrikopoulos, Thomas D. Boone, Jr., Member, IEEE, and Nancy M. Haegel
Abstract—A technique for imaging the 2-D transport of free
charge in semiconductor structures is used to directly map elec-
tric field distributions in operating devices. Transport imaging
is demonstrated in a scanning electron microscope operating in
spot mode, using an optical microscope and a high-sensitivity
charge-coupled detector to collect resulting luminescence from
minority carrier recombination. The field is determined from the
ratio of peak intensities in luminescence images with and without
an applied electric field. The technique maps the intensity and
direction of the electric field with high resolution. Fields are
measured for both parallel plate and nonuniform current flow
geometries. The results not only show excellent overall agreement
with finite-element electrostatics modeling but also demonstrate
the ability of the technique to measure the actual profiles that
reflect local material variations and contact-related phenomena.
Index Terms—Electric field distribution, localized field map-
ping, near-contact electric field profiling, transport imaging.
I. INTRODUCTION
T
HE ABILITY to make highly localized measurements of
transport parameters is critical for the development of
new devices and structures, particularly as the sizes of even
larger scale devices, such as photon detectors and emitters
and other sensors, continue to shrink. Localized measurements
are of particular importance in areas, such as the near-contact
region, where nonuniform behavior may be expected. A single
transport measurement, like current–voltage (I –V ) profiling,
will average over a range of potentially highly varying local
behaviors, including contact resistance effects, material varia-
tions, defects, and localized geometry considerations.
Electric field measurements are particularly interesting be-
cause a field, unlike resistance or capacitance, is not easily
measured in a point-by-point fashion. The electric field can
vary significantly due to the presence of contacts or other
boundary features, defect states, near-contact space charge, or
radiation damage, making the actual field profile much more
complex than idealized simulations might suggest. In addition,
dimensionally confined regions and transition regions are of
Manuscript received November 1, 2007. This work was supported by the
NSF under Grant DMR-0203397 and Grant DMR-0526330. The review of this
brief was arranged by Editor H. S. Momose.
P. Andrikopoulos is with Hellenic Army General Staff/Artillery Directorate,
15500 Athens, Greece (e-mail: pandrik@otenet.gr; dpb@army.gr).
T. D. Boone, Jr., is with Hitachi Global Storage Technologies, San Jose, CA
95135 USA.
N. M. Haegel is with the Department of Physics, Naval Postgraduate School,
Monterey, CA 93943 USA (e-mail: nmhaegel@ nps.edu).
Digital Object Identifier 10.1109/TED.2008.920971
increasing importance as contact technologies are developed for
novel devices, such as nanowires, that require integration over
a range of scales [1].
Other techniques for localized field mapping include elec-
troabsorption [2], voltage contrast techniques [3], and related
time-of-flight measurements to determine a localized drift ve-
locity [4]. Electroabsorption has been applied, for example,
to measure electric field variations in the near-contact region
of proton-implanted transverse-field photorefractive quantum
wells [5]. In electroabsorption, however, the direction of the
field (vector nature) is not observed, and in many of the related
techniques, a quantitative measurement of the field requires
significant additional information or assumptions. Results can
also be affected by other surface contrast effects.
Interest in high-power photoconductive semiconductor
switches in the 1990s led to the application of electrooptic
sampling to obtain electric field images. Experiments were
performed by using proximate LiTaO
3
crystals for external
birefringent imaging [6] as well experiments using the elec-
trooptic effect of the GaAs device itself [7]. These techniques
were particularly useful for the measurement of time-dependent
effects. However, spatial resolution was limited (3–5 µm),
and the techniques are not easily applied to a wide range of
materials.
Finally, sophisticated finite-element tools exist for the sim-
ulation of field profiles, but these can only serve as a guide
to the actual profile in a specific structure, particularly when
defects, damage, or material variations play a role. Additional
techniques that can provide both magnitude and direction of the
local field, with the potential for higher spatial resolution and
ease of application, can complement existing approaches. The
approach presented here requires minimal sample preparation,
is not limited to high field applications, and has the potential to
be applied nondestructively for full wafer characterization.
In this brief, we describe a scanning-electron-microscope
(SEM)-based technique for the local measurement of electric
field. Both the magnitude and the direction of the field can
be determined from a single pair of optical images, obtained
through the integration of the SEM with an optical microscope
and high-sensitivity camera. The approach can be applied to any
material with a luminescent signature. It relies upon the locally
measured variation in luminescent intensity and distribution in
response to electron beam excitation under an applied field. The
approach will be illustrated with control parallel plate structures
and then applied to the measurement of a nonuniform cur-
rent flow region in a modulation-doped AlGaAs/GaAs/AlGaAs
heterostructure.
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