A novel low-temperature bolometric method has been devised and implemented for high-precision measurements of the microwave surface resistance of small single-crystal platelet samples having very low absorption, as a continuous function of frequency. The key to the success of this nonresonant method is the in situ use of a normal metal reference sample that calibrates the absolute rf field strength. The sample temperature can be controlled independently of the 1.2 K liquid-helium bath, allowing for measurements of the temperature evolution of the absorption. However, the sensitivity of the instrument decreases at higher temperatures, placing a limit on the useful temperature range. Using this method, the minimum detectable power at 1.3 K is 1.5 pW, corresponding to a surface resistance sensitivity of ≈1 μΩ for a typical 1 mm×1 mm platelet sample.

1.
D. A.
Bonn
,
P.
Dosanjh
,
R.
Liang
, and
W. N.
Hardy
,
Phys. Rev. Lett.
68
,
2390
(
1992
).
2.
D. A. Bonn and W. N. Hardy, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Singapore, 1996), Vol. 5.
3.
R. J.
Ormeno
,
D. C.
Morgan
,
D. M.
Broun
,
S. F.
Lee
, and
J. R.
Waldram
,
Rev. Sci. Instrum.
68
,
2121
(
1997
).
4.
A.
Hosseini
,
R.
Harris
,
S.
Kamal
,
P.
Dosanjh
,
J.
Preston
,
R.
Liang
,
W. N.
Hardy
, and
D. A.
Bonn
,
Phys. Rev. B
60
,
1349
(
1999
).
5.
P. J.
Hirschfeld
and
W. A.
Atkinson
,
J. Low Temp. Phys.
127
,
289
(
2002
).
6.
M. H.
Hettler
and
P. J.
Hirschfeld
,
Phys. Rev. B
61
,
11313
(
2000
).
7.
A. J.
Berlinsky
,
D. A.
Bonn
,
R.
Harris
, and
C.
Callin
,
Phys. Rev. B
61
,
9088
(
2000
).
8.
M. A.
Biondi
and
M. P.
Garfunkel
,
Phys. Rev.
116
,
853
(
1959
).
9.
Y.
Matsuda
et al.,
Phys. Rev. B
49
,
4380
(
1994
);
O. K. C.
Tsui
et al.,
Phys. Rev. Lett.
73
,
724
(
1994
);
M.
Gaifullin
et al.,
Phys. Rev. Lett.
83
,
3928
(
1999
).
10.
A.
Hosseini
,
S.
Kamal
,
D. A.
Bonn
,
R.
Liang
, and
W. N.
Hardy
,
Phys. Rev. Lett.
81
,
1298
(
1998
).
11.
In general, the thermal model of the bolometer stage should include a distributed heat capacity through which the thermal currents flow. However, we show in Appendix A that a necessary condition for optimal sensitivity is that the thermal weak link be operated in the low-frequency limit where it is well approximated by a lumped thermal mass and a weak thermal link having negligible heat capacity.
12.
J. M.
Gildemeister
,
A. T.
Lee
, and
P. L.
Richards
,
Appl. Phys. Lett.
74
,
868
(
1999
).
13.
S.
Sridar
and
W. L.
Kennedy
,
Rev. Sci. Instrum.
59
,
531
(
1988
);
D. L.
Rubin
et al.,
Phys. Rev. B
38
,
6538
(
1988
).
14.
Cernox™ resistor, model CX-1050-BC, was purchased from Lake Shore Cryotronics, Inc. of 575 McCorkle Boulevard, Westerville, Ohio 43082.
15.
Dow Corning No. 976V High Vacuum Grease, Dow Corning Corporation, P.O. Box 0994, Midland, Michigan 48686-0994.
16.
1.50 kΩ thin-film surface-mount resistors, model SOTA No. S0303AS1501FKW, were purchased from State of the Art, Inc. of 2470 Fox Hill Rd., State College, Pennsylvania 16803-1797.
17.
Stycast 2850FT, Emerson and Cumming Inc., Canton, Massachusetts 02021.
18.
We use standard 50 Ω impedance semi-rigid coaxial line having a Teflon dielectric and a 0.141 in. diameter outer conductor made from stainless steel and 0.0359 in. diameter inner conductor made from silver-plated copper-clad steel.
19.
R. P.
Elliott
and
F. A.
Shunk
,
Bull. Alloy Phase Diagrams
1
,
45
(
1980
).
20.
A. A. Abrikosov, Fundamentals of the Theory of Metals (North-Holland, New York, 1988).
21.
C. P.
Bidinosti
,
W. N.
Hardy
,
D. A.
Bonn
, and
Ruixing
Liang
,
Phys. Rev. Lett.
83
,
3277
(
1999
).
22.
P. J.
Turner
,
R.
Harris
,
Saeid
Kamal
,
M. E.
Hayden
,
D. M.
Broun
,
D. C.
Morgan
,
A.
Hosseini
,
P.
Dosanjh
,
G. K.
Mullins
,
J. S.
Preston
,
R.
Liang
,
D. A.
Bonn
, and
W. N.
Hardy
,
Phys. Rev. Lett.
90
,
237005
(
2003
).
23.
J.
Corson
,
J.
Orenstein
,
S.
Oh
,
J.
O’Donnell
, and
J. N.
Eckstein
,
Phys. Rev. Lett.
85
,
2569
(
2000
).
24.
A.
Janossy
,
A.
Rockenbauer
, and
S.
Pekker
,
Physica C
167
,
301
(
1990
);
A.
Janossy
,
L.-C.
Brunel
, and
J. R.
Cooper
,
Phys. Rev. B
54
,
10186
(
1996
).
25.
M. A. R. Gunston, Microwave Transmission-Line Impedance Data (Van Nostrand–Reinhold, London, 1971).
26.
J. R.
Pyle
,
IEEE Trans. Microwave Theory Tech.
14
,
175
(
1966
).
27.
S.
Amari
,
J.
Bornemann
, and
R.
Vahldieck
,
IEEE Trans. Microwave Theory Tech.
44
,
2256
(
1996
).
28.
A. J.
Berlinsky
,
C.
Kallin
,
G.
Rose
, and
A. C.
Shi
,
Phys. Rev. B
48
,
4074
(
1993
).
29.
D. A.
Bonn
,
R.
Liang
,
T. M.
Riseman
,
D. J.
Baar
,
D. C.
Morgan
,
K.
Zhang
,
P.
Dosanjh
,
T. L.
Duty
,
A.
MacFarlane
,
G. D.
Morris
,
J. H.
Brewer
,
W. N.
Hardy
,
C.
Callin
, and
A. J.
Berlinsky
,
Phys. Rev. B
47
,
11314
(
1993
).
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