IEC 61788-22-2:2021

IEC 61788-22-2 ®
Edition 1.0 2021-10
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Superconductivity –
Part 22-2: Normal state resistance and critical current measurement –
High-T Josephson junction:
c
Supraconductivité –
Partie 22-2: Mesurage de la résistance à l’état normal et du courant critique –
Jonction Josephson à T élevée
c
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IEC 61788-22-2 ®
Edition 1.0 2021-10
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Superconductivity –
Part 22-2: Normal state resistance and critical current measurement –

High-T Josephson junction:
c
Supraconductivité –
Partie 22-2: Mesurage de la résistance à l’état normal et du courant critique –

Jonction Josephson à T élevée
c
INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
COMMISSION
ELECTROTECHNIQUE
INTERNATIONALE
ICS 29.050 ISBN 978-2-8322-1039-7

– 2 – IEC 61788-22-2:2021 © IEC 2021
CONTENTS
FOREWORD . 4
INTRODUCTION . 6
1 Scope . 7
2 Normative references . 7
3 Terms and definitions . 7
4 Symbols . 8
5 Principle of measurement method . 9
6 Apparatus . 9
6.1 General . 9
6.2 Cryogenic system . 9
6.3 Electrical measurement system . 10
6.4 Circuitry . 10
7 Estimation of normal state resistance (R ) and intrinsic critical current (I ) . 11
n ci
7.1 Calculation method . 11
7.2 Geometric mean criterion for hyperbolic function fitting . 12
8 Standard uncertainty . 12
8.1 General . 12
8.2 Type A uncertainty . 12
8.3 Type B uncertainty . 14
8.3.1 General . 14
8.3.2 Temperature . 14
8.3.3 Voltage measurement . 16
8.3.4 Current measurement . 16
8.4 Budget table . 17
8.5 Uncertainty requirement . 18
9 Test report . 18
9.1 Identification of test device . 18
9.2 R value . 18
n
9.3 I value . 18
ci
9.4 Standard uncertainty . 18
9.5 Atmospheric pressure . 18
9.6 Miscellaneous optional report . 18
Annex A (informative) Calculation technique and practical application to high-T
c
Josephson junctions . 20
A.1 General . 20
A.2 Hyperbolic function fitting method . 20
A.3 Geometric mean method . 21
A.4 Combined method . 22
A.5 Estimation of R , I , u and u . 23
n ci A,R A,I
A.5.1 General . 23
A.5.2 High-T Josephson junction (JL350) . 23
c
A.5.3 High-T Josephson junction (JL351) . 25
c
A.5.4 High-T Josephson junction (TUT) . 27
c
Annex B (informative) Practical application to low-T Josephson junctions . 30
c
B.1 General . 30
B.2 Estimation of R , I , u and u . 30
n ci A,R A,I
B.2.1 General . 30
B.2.2 Low-T Josephson junction (IU1) . 30
c
B.2.3 Low-T Josephson junction (IU2) . 31
c
B.2.4 Low-T Josephson junction (IU3) . 32
c
B.2.5 Low-T Josephson junction (IU4) . 34
c
Bibliography . 35

Figure 1 – Typical circuitry for voltage-current (U–I) characteristic curve measurement . 10
Figure 2 – Ideal U–I characteristic curve (red line) and hyperbolic function (RSJ) model
curve (dotted line) . 11
Figure 3 – Geometric mean criterion and RSJ model fitting for TUT-JJ05 at 75,8 K . 15
Figure 4 – Geometric mean criterion and RSJ model fitting for TUT-JJ05 at 76,3 K . 16
Figure A.1 – U–I curve based on resistively shunted junction (RSJ) model . 21
Figure A.2 – U–I curve affected by noise-rounding and self-heating . 21
Figure A.3 – Application of geometric mean method to ideal U–I in Figure A.1 . 22
Figure A.4 – Application of geometric mean method to U–I with noise-rounding and
self-heating effects in Figure A.2. 23
Figure A.5 – U–I curve of JL350 . 24
Figure A.6 – Application of geometric mean method to Figure A.5 . 24
Figure A.7 – Result of RSJ model fitting for JL350 . 25
Figure A.8 – U–I curve of JL351 . 26
Figure A.9 – Application of geometric mean method to Figure A.8 . 26
Figure A.10 – Result of RSJ model fitting for JL351 . 27
Figure A.11 – U–I curve of TUT with a small I . 28
m
Figure A.12 – Application of geometric mean method to TUT . 28
Figure A.13 – Application of adjusted geometrical mean method to TUT . 29
Figure A.14 – Result of RSJ model fitting for TUT . 29
Figure B.1 – Application of geometric mean method to IU1 .
...