We have measured the resistance R(T,I,Bext) of a superconducting transition edge sensor over the entire transition region on a fine scale, producing a four-dimensional map of the resistance surface. The dimensionless temperature and current sensitivities (αlogR/logT|I and βlogR/logI|T) of the TES resistance have been determined at each point. α and β are closely related to the sensor performance, but show a great deal of complex, large amplitude fine structure over large portions of the surface that is sensitive to the applied magnetic field. We discuss the relation of this structure to the presence of Josephson “weak link” fringes.

1.
D. A.
Bennett
,
D. R.
Schmidt
,
D. S.
Swetz
, and
J. N.
Ullom
, “
Phase-slip lines as a resistance mechanism in transition-edge sensors
,”
Appl. Phys. Lett.
104
(
4
),
042602
(
2014
).
2.
F. M.
Finkbeiner
,
R. P.
Brekosky
,
J. A.
Chervenak
,
E.
Figueroa-Feliciano
,
M. J.
Li
,
M. A.
Lindeman
,
C. K.
Stahle
,
C. M.
Stahle
, and
N.
Tralshawala
, “
Fabrication of close-packed TES microcalorimeter arrays using superconducting molybdenum/gold transition-edge sensors
,”
AIP Conf. Proc.
605
(
1
),
215
218
(
2002
).
3.
L.
Gottardi
,
A.
Kozorezov
,
H.
Akamatsu
,
J.
van der Kuur
,
M. P.
Bruijn
,
R. H.
den Hartog
,
R.
Hijmering
,
P.
Khosropanah
,
C.
Lambert
,
A. J.
van der Linden
,
M. L.
Ridder
,
T.
Suzuki
, and
J. R.
Gao
, “
Josephson effects in an alternating current biased transition edge sensor
,”
Appl. Phys. Lett.
105
(
16
),
162605
(
2014
).
4.
K. D.
Irwin
, “
Thermodynamics of nonlinear bolometers near equilibrium
,” in
Proceedings of the 11th International Workshop on Low Temperature Detectors, LTD-11
K. D.
Irwin
[
Nucl. Instrum. Methods Phys. Res. Sect. A
559
(
2
),
718
720
(
2006
)].
5.
K. D.
Irwin
and
G. C.
Hilton
, “
Transition-edge sensors
,” in
Cryogenic Particle Detection
(
Springer
,
Berlin, Heidelberg
,
2005
), pp.
63
150
.
6.
N.
Iyomoto
,
S. R.
Bandler
,
R. P.
Brekosky
,
A.-D.
Brown
,
J. A.
Chervenak
,
F. M.
Finkbeiner
,
R. L.
Kelley
,
C. A.
Kilbourne
,
F. S.
Porter
,
J. E.
Sadleir
,
S. J.
Smith
, and
E.
Figueroa-Feliciano
, “
Close-packed arrays of transition-edge X-ray microcalorimeters with high spectral resolution at 5.9 keV
,”
Appl. Phys. Lett.
92
(
1
),
013508
(
2008
).
7.
A.
Kozorezov
,
A. A.
Golubov
,
D. D. E.
Martin
,
P. A. J.
de Korte
,
M. A.
Lindeman
,
R. A.
Hijmering
,
J.
van der Kuur
,
H. F. C.
Hoevers
,
L.
Gottardi
,
M.
Yu. Kupriyanov
, and
J. K.
Wigmore
, “
Modelling the resistive state in a transition edge sensor
,”
Appl. Phys. Lett.
99
(
6
),
063503
(
2011
).
8.
M. A.
Lindeman
,
K. A.
Barger
,
D. E.
Brandl
,
S. G.
Crowder
,
L.
Rocks
, and
D.
McCammon
, “
Accurate thermal conductance and impedance measurements of transition edge sensors
,”
J. Low Temp. Phys.
151
(
1
),
180
184
(
2008
).
9.
M. A.
Lindeman
,
K. A.
Barger
,
D. E.
Brandl
,
S. G.
Crowder
,
L.
Rocks
,
D.
McCammon
, and
H. F. C.
Hoevers
, “
The superconducting transition in 4-D: Temperature, current, resistance and heat capacity
,”
J. Low Temp. Phys.
151
(
1
),
190
194
(
2008
).
10.
M. A.
Lindeman
,
S.
Bandler
,
R. P.
Brekosky
,
J. A.
Chervenak
,
E.
Figueroa-Feliciano
,
F. M.
Finkbeiner
,
M. J.
Li
, and
C. A.
Kilbourne
, “
Impedance measurements and modeling of a transition-edge-sensor calorimeter
,”
Rev. Sci. Instrum.
75
(
5
),
1283
1289
(
2004
).
11.
D.
McCammon
, “
Thermal equilibrium calorimeters—An introduction
,” in
Cryogenic Particle Detection
(
Springer
,
Berlin, Heidelberg
,
2005
), p.
1
34
.
12.
K. M.
Morgan
,
S. E.
Busch
,
M. E.
Eckart
,
C. A.
Kilbourne
, and
D.
McCammon
, “
Large area transition edge sensor X-ray microcalorimeters for diffuse X-ray background studies
,”
J. Low Temp. Phys.
176
(
3
),
331
336
(
2014
).
13.
J. E.
Sadleir
,
S. J.
Smith
,
S. R.
Bandler
,
J. S.
Adams
,
S. E.
Busch
,
M. E.
Eckart
,
J. A.
Chervenak
,
R. L.
Kelley
,
C. A.
Kilbourne
,
F. S.
Porter
,
J. P.
Porst
, and
J. R.
Clem
, “
Magnetically tuned superconducting transition-edge sensors
,”
IEEE Trans. Appl. Supercond.
23
(
3
),
2101405
(
2013
).
14.
J. E.
Sadleir
,
S. J.
Smith
,
S. R.
Bandler
,
J. A.
Chervenak
, and
J. R.
Clem
, “
Longitudinal proximity effects in superconducting transition-edge sensors
,”
Phys. Rev. Lett.
104
,
047003
(
2010
).
15.
J. E.
Sadleir
,
S. J.
Smith
,
I. K.
Robinson
,
F. M.
Finkbeiner
,
J. A.
Chervenak
,
S. R.
Bandler
,
M. E.
Eckart
, and
C. A.
Kilbourne
, “
Proximity effects and nonequilibrium superconductivity in transition-edge sensors
,”
Phys. Rev. B
84
,
184502
(
2011
).
16.
S. J.
Smith
,
J. S.
Adams
,
S. R.
Bandler
,
S. E.
Busch
,
J. A.
Chervenak
,
M. E.
Eckart
,
F. M.
Finkbeiner
,
R. L.
Kelley
,
C. A.
Kilbourne
,
S. J.
Lee
,
J. P.
Porst
,
F. S.
Porter
, and
J. E.
Sadleir
, “
Characterization of Mo/Au transition-edge sensors with different geometric configurations
,”
J. Low Temp. Phys.
176
(
3
),
356
362
(
2014
).
17.
S. J.
Smith
,
J. S.
Adams
,
C. N.
Bailey
,
S. R.
Bandler
,
S. E.
Busch
,
J. A.
Chervenak
,
M. E.
Eckart
,
F. M.
Finkbeiner
,
C. A.
Kilbourne
,
R. L.
Kelley
,
S.-J.
Lee
,
J.-P.
Porst
,
F. S.
Porter
, and
J. E.
Sadleir
, “
Implications of weak-link behavior on the performance of Mo/Au bilayer transition-edge sensors
,”
J. Appl. Phys.
114
(
7
),
074513
(
2013
).
18.
S. J.
Smith
,
J. S.
Adams
,
S. R.
Bandler
,
G.
Betancourt-Martinez
,
J. A.
Chervenak
,
M. E.
Eckart
,
F. M.
Finkbeiner
,
R. L.
Kelley
,
C. A.
Kilbourne
,
S.-J.
Lee
,
F. S.
Porter
,
J. E.
Sadleir
, and
E. J.
Wassell
, “
Uniformity of kilo-pixel arrays of transition-edge sensors for X-ray astronomy
,”
IEEE Trans. Appl. Supercond.
25
(
3-
1),
1
5
(
2015
).
19.
J. N.
Ullom
,
W. B.
Doriese
,
G. C.
Hilton
,
J. A.
Beall
,
S.
Deiker
,
W. D.
Duncan
,
L.
Ferreira
,
K. D.
Irwin
,
C. D.
Reintsema
, and
L. R.
Vale
, “
Characterization and reduction of unexplained noise in superconducting transition-edge sensors
,”
Appl. Phys. Lett.
84
(
21
),
4206
4208
(
2004
).
20.
J. N.
Ullom
and
D. A.
Bennett
, “
Review of superconducting transition-edge sensors for X-ray and gamma-ray spectroscopy
,”
Supercond. Sci. Technol.
28
(
8
),
084003
(
2015
).
You do not currently have access to this content.