IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, VOL. 58, NO. 4, APRIL2009 997
Progress Towards the Electron Counting
Capacitance Standard at PTB
Hansjörg Scherer, Sergey V. Lotkhov, Gerd-Dietmar Willenberg, and Benedetta Camarota
Abstract—We report on the progress and new results in the
setup of the electron counting capacitance standard (ECCS)
at Physikalisch-Technische Bundesanstalt (PTB), Braunschweig,
Germany. Considerable progress has been made in the opera-
tion of the single-electron circuit and in the incorporation of a
cryogenic capacitor into the millikelvin refrigerator setup. The
single-electron tunneling (SET) circuit comprised a five-junction,
single-electron R-pump that showed an electron retention time
of more than 600 s, and the circuit was successfully used for the
deterministic shuttle transfer of charge packets consisting of few
electrons. In addition, the cryogenic capacitor was tested, and its
performance was found to be suitable for a high-precision ECCS
experiment.
Index Terms—Capacitance, charge transfer devices, cryogenic
electronics, tunnel effect, units (measurement).
I. I NTRODUCTION
T
HE PRINCIPLE of the electron counting capacitance
standard (ECCS) experiment, which was pioneered
and—up to now—solely demonstrated by the National Institute
of Standards and Technology (NIST) [1], [2], Boulder, CO,
is to charge a capacitor by a well-known number of electrons
and to measure the voltage across the capacitor electrodes by
using a Josephson voltage standard. Relating the capacitor’s
impedance to a quantum Hall resistance realizes the so-called
quantum metrology triangle (QMT). This provides a consis-
tency check for the three electrical quantum effects used in
metrology, i.e., the Josephson, the quantum Hall, and the single-
electron tunneling (SET) effect. A significant impact on the
fundamental questions of quantum metrology will arise if the
ECCS is performed with a relative uncertainty of a few parts
in 10
7
or better [3], and this is currently being pursued at
Physikalisch-Technische Bundesanstalt (PTB), Braunschweig,
Germany. We have recently achieved considerable progress in
the optimization and characterization of the two key compo-
nents, namely, the SET circuit and the cryogenic capacitor
(cryocap) [4]. We report experimental results from charac-
terization measurements on the SET circuit and the cryocap.
In addition, the measurement results from the cryocap setup
allowed preliminary estimates of the corresponding uncertainty
contributions.
Manuscript received June 2, 2008; revised August 13, 2008. First published
November 25, 2008; current version published March 10, 2009. This work
was conducted within the EURAMET joint research project and supported
by the European Community’s Seventh Framework Programme ERA-NET
Plus under Grant Agreement 217257 and is part of Project “REUNIAM,”
no. T1.J1.3. The Associate Editor coordinating the review process for this paper
was Mr. Thomas Lipe.
The authors are with Physikalisch-Technische Bundesanstalt, 38116
Braunschweig, Germany (e-mail: hansjoerg.scherer@ptb.de).
Digital Object Identifier 10.1109/TIM.2008.2006959
Fig. 1. Layout scheme of the SET circuit. The sample chip contains a five-
junction R-pump and a SET transistor. The pad island can electrically be
contacted on-chip by closing a cryogenic needle switch.
Fig. 2. Scanning electron micrograph of the R-pump section of the SET
chip. The sample was prepared by three-angle evaporation technique. The
positions of the Cr strip resistors and the five in-series Al-AlOx-Al tunnel
junctions (arrows) of the pump are indicated. The junction area sizes were about
50 × 60 nm
2
(for the overlap of the microstrips, see the inset).
II. SET CIRCUIT
A. Sample Layout and Fabrication
Our new SET circuits are comprised of a five-junction single-
electron R-pump and a SET transistor (see Fig. 1 for the circuit
scheme). The pump is equipped with on-chip Cr microstrip
resistors on both sides (see also Fig. 2). These resistors (each
R
Cr
≈ 70 kΩ) suppress the unwanted cotunneling events
and thus effectively increase the transfer accuracy in the
R-pump [5]. In addition, they also enhance the electrical
robustness of the SET circuit against damages that may occur
during wire bonding or handling. One side of the pump is
connected to a small circle-shaped pad island with a 90-μm
diameter. The pad can be connected by a magnetically driven
cryogenic needle switch. Thus, preliminary characterization
and tuning of the pump can be carried out by measuring its
I (V ) characteristics via the closed switch contact. In the
final ECCS charging experiment, the switch will provide an
electrical connection between the cryocap and the pump.
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