Abstract—The relaxation of free holes and electrons in highly
compensated germanium doped by gallium (p-Ge:Ga:Sb) and
antimony (n-Ge:Sb:Ga) has been studied by a pump-probe
experiment with the free-electron laser FELBE at the Helmholtz-
Zentrum Dresden-Rossendorf. The relaxation times vary
between 20 ps and 300 ps and depend on the incident THz
intensity and compensation level. The relaxation times are about
five times shorter than previously obtained for uncompensated n-
Ge:Sb and p-Ge:Ga. The results support the development of fast
photoconductive detectors in the THz frequency range.
I. INTRODUCTION AND BACKGROUND
OOLED germanium (Ge) photoconductive detectors are
characterized by a very low noise equivalent power and
high quantum efficiency. They have been serving for
decades as one of the most sensitive THz detectors in
spectroscopy and imaging for laboratory research as well as
for astronomy and planetary research [1]. The sensitivity of
extrinsic photoconductive Ge detectors doped by shallow
hydrogen-like impurity centers, such as gallium (p-Ge:Ga) and
antimony (n-Ge:Sb), peaks at wavelengths around 100 µm (3
THz) and extends towards the infrared. Achieving high
sensitivity requires low doped (~10
14
/cm
3
) and weakly
compensated Ge [2]. These broadband low-noise and high
sensitivity operation features dominated the research on Ge
photodetectors. As a rule of thumb an increased doping
concentration and high compensation level increase the speed
of response of these detectors while the sensitivity decreases
and the dark current increases. Despite this fact the availability
of intense short pulsed THz sources still demands fast, broad-
band detectors. So far the shortest response times are a few ns
obtained with a moderately compensated (32%) Ge in direct
detector operation [3].
A more fundamental approach for determining the speed of
response of extrinsic Ge photoconductors can be made with
the application of the pump-probe technique providing a few
ps temporal resolution which is available for example at free
electron lasers [4]. In this work we present results of lifetime
measurements obtained with a dedicated single-color pump-
probe setup at the free electron laser FELBE. In particular we
investigated the influence of the compensation level on the
relaxation times in p-Ge:Ga:Sb as well as n-Ge:Sb:Ga detector
material.
II. EXPERIMENTAL
The speed of response of an extrinsic Ge-photodetectors on a
technical level is determined by parameters such as the electric
bias field, the speed of the detector bias circuit or the
geometry of the detector crystal, whereas the fundamental
temporal limitation is determined by the lifetimes of the
ionized charge carriers in the conduction/valence band. This
work is a continuation of the investigation of these relaxation
processes in extrinsic Ge with a dedicated single-color pump-
probe setup at the infrared/THz free electron laser facility
FELBE. The focus was set to the influence of the degree of
compensation in Ge on the free carrier capture rate. Therefore,
different samples with varying levels of compensation, i.e.
relative amounts of Sb donor atoms and Ga acceptor atoms in
germanium crystals, have been produced by the Institute of
Crystal Growth. The samples were grown by the Czochalski
method and the doping material was introduced directly into
the crucible. Due to the depletion during the growth and the
different segregation coefficients of Sb and Ga the
concentration of the impurities changes along the growth axis
of the ingot. The crystal was then sawed to samples of
10x10x0.5 mm³ size. The approximate concentration of
impurity atoms obtained in the samples is shown in Tab. 1.
TABLE I.
DOPING CONCENTRATIONS OF INVESTIGATED GERMANIUM SAMPLES
Sample NGa (cm
-3
) NSb (cm
-3
) Nnet (cm
-3
) Comp (%)
Ge-539-1 2.8×10
16
2.6×10
16
(p) 2×10
15
92.9
Ge-539-3 3.5×10
16
3.3×10
16
(p) 2×10
15
94.3
Ge-538-0 2.3×10
16
2.7×10
16
(n) 3×10
15
85.2
Ge-538-1 2.9×10
16
3.3×10
16
(n) 4×10
15
87.9
Ge-538-3 3.4×10
16
4.0×10
16
(n) 6×10
16
85.
Ge-538-4 4×10
16
4.7×10
16
(n) 7×10
15
85.1
Additionally, the absorbance spectra of these samples have
been measured by Fourier transform spectrometry (FTS) at
liquid helium temperatures. They show broad a absorption
band at the position of impurity absorption lines (range 5-10
meV, Fig. 1) with a large absorbance (up to 100 cm
-1
) that
indicates on higher net levels of impurity concentration than
those calculated from the original dopants in the crucible.
In accordance to our previous pump-probe measurements
we chose a wavelength of the FEL radiation of 105 µm
(photon energy of 11.8 meV or 2.85 THz).
N. Deßmann
a
, S. G. Pavlov
b
, M. Mittendorff
c
, S. Winnerl
c
, R. Kh. Zhukavin
d
, V. V. Tsyplenkov
d
,
D. V. Shengurov
d
, V. N. Shastin
d
, N. V. Abrosimov
e
, H. Riemann
e
and H.-W. Hübers
a,b
a
Institut für Optik und Atomare Physik, Technische Universität Berlin, Berlin, Germany
b
Institut für Planetenforschung, Deutsches Zentrum für Luft- und Raumfahrt, Berlin, Germany,
c
Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
d
Institute for Physics of Microstructures, Russian Academy of Sciences, Nizhny Novgorod, Russia
e
Leibniz-Institute for Crystal Growth, Berlin, Germany
Fast relaxation of free carriers in compensated n- and p-type germanium
C
978-1-4673-4717-4/13/$31.00 ©2013 IEEE