The discovery of high temperature superconductor oxides has raised the possibility of a new class of millimeter and microwave devices operating at temperatures considerably higher than liquid helium temperatures. Therefore, materials properties such as conductivity, current density, and sheet resistance as a function of temperature and frequency, possible anisotropies, moisture absorption, thermal expansion, and others, have to be well characterized and understood. The millimeter wave response of laser ablated YBa2Cu3O(7-delta)/LaAlO3 thin films was studied as a function of temperature and frequency. In particular, the evaluation of their microwave conductivity was emphasized, since knowledge of this parameter provides a basis for the derivation of other relevant properties of these superconducting oxides, and for using them in the fabrication of actual passive circuits. The microwave conductivity for these films was measured at frequencies from 26.5 to 40.0 GHz, in the temperature range from 20 to 300 K. The values of the conductivity are obtained from the millimeter wave power transmitted through the films, using a two fluid model

Bhasin, K. B.

Chorey, C. M.

Ebihara, B. T.

Gordon, W. L.

Heinen, V. O.

Miranda, F. A.

Romanofsky, R. R.

Warner, J. D.

English

NASA Technical Reports Server

N92-21639
MICROWAVE CONDUCTIVITY OF LASER ABLATED YBa2Cu307. a SUPERCONDUCTING FILMS AND ITS
RELATION TO HICROSTRIP TRANSMISSION LINE PERFORMANCE
K. B. Bhasin, J. D. Warner, C. M. Chorey*, B. T. Ebihara, R. R. Romanofsky and
V. O. Heinen
National Aeronautics and Space Administration
Lewis Research Center, Cleveland OH., 44135
* Sverdrup Technology/LeRC Group
Cleveland OH., 44142
F. A. Miranda and W. L. Gordon
Department of Physics
Case Western Reserve University, Cleveland OH., 44106
ABSTRACT
We report on the values of the microwave conductivity in the normal (aN) and
superconducting (a*=al-Ja2) states of two laser ablated YBa2Cu30/._ thin films at
35 GHz, in the temperature range from 20 to 300 K. The films (0.7 and 0.4 _m)
were deposited on LaAl03 by laser ablation. The conductivity was obtained from
the microwave power transmitted through the films and assuming a two fluid model.
IO S/m at room temperature for both films, and of oi~6.3 XValues of aN~2.3 X 5
105 and 4.6 X 105 S/m at temperatures around 80 K were obtained for the 0.7 and
0.4 _m films respectively. For a2 values of 4.9 X 106 and 5.4 X 106 S/m were
obtained for the 0.7 and 0.4 _m films at 80 K. The expected conductor losses and
Q-factor of a superconducting ring resonator were calculated using these
conductivity values. The theoretical values were then compared with the
experimental results obtained for a resonator fabricated from one of these films.
The discovery of high transition temperature (Tc) superconductors has raised
the possibility of a new class of microwave and millimeter wave devices operating
at temperatures considerably higher than liquid helium temperatures. Therefore,
materials properties such as microwave conductivity (a), critical current density
(Jc), microwave surface resistance (Rs), transport anisotropies, thermal
expansion, and others have to be well characterized and understood. To date,
measurements of Rs at microwave and millimeter wave frequencies and of Jc of
YBa2Cu307.6 superconducting oxides have been very abundant. I"3 Nevertheless,
reports on the microwave conductivity of these new oxides have been rare. 4,5 The
need for more data on the microwave conductivity of these oxides arises from the
fact that knowledge of this parameter provides a way to calculate other relevant
properties such as the normal skin depth (6n) and the magnetic penetration depth
in the superconducting state (ks). From the practical application point of view,
it provides valuable aid for the desiQn of microwave devices and circuits based
on superconducting microstrip lines. 6'7
In this paper we report on the microwave conductivity of laser ablated
YBa2Cu307_a superconducting thin films at 35 GHz in the temperature range from 20
to 300 K. The values of the conductivities were obtained from the microwave power
transmitted through the film, assuming a two-fluid model. The expected conductor
losses and Q-factor of a superconducting ring resonator were calculated using
261
_CET_G PAGE B4.ANI_ NOT F_L_I5
https://ntrs.nasa.gov/search.jsp?R=19920012396 2020-03-17T13:07:43+00:00Z
these conductivity values. The theoretical values were then comparedwith the
experimental results obtained for a resonator fabricated from one of these films.
The pulsed laser ablation technique is similar to that reported by other
researchers. 8'9 The deposition was performed at a substrate temperature of 750o
C at an ambient oxygen pressure of 170 mtorr. The laser wavelength was 248 nm,
the pulse length and rate were 20 to 30 ns and 4 pps respectively. During this
process the distance between the target and the sample w_s kept at 7.5 cm and
the laser fluence on the target was maintained at 2.0 J/cm _ per pulse. The laser
beam was continually scanned ! cm across the target using an external lens on
a translator. When the deposition was finished, the oxygen pressure was raised
to I atm and the temperature was lowered to 450 o C at a rate of 20 C/min. The
temperature was held at 450 o C for two hrs before it was lowered to 250 o C at the
same rate already mentioned. Finally, the heater power was turned off and the
sample was allowed to cool to 400 C or less before it was removed from the
chamber. This deposition process is explained in more detail in reference 10.
Two YBa2Cu30/.6 superconducting thin films, deposited by laser ablation on
LaAl03, have been considered in this study. The films' thicknesses were 0.7 and
0.4 #m respectively. LaAI03 is a convenient substrate because of its perovskite
crystal structure and its lattice constant of a=5.357 A which match very well
with the lattice constant of the YBa2Cu307_6superconducting oxide. Also, its low
dielectric constant (~22) makes it suitable for microwave device applications.
The films were analyzed by X-ray diffraction, dc resistance versus temperature
measurements and scanning electron microscope (SEM). Transitions temperatures
(Tc , R=O) of 89.7 and 86.0 K were measured for the 0.7 and 0.4 #m thin films
respectively. The dc resistance versus temperature curves are shown in fig.1.
The X-ray diffraction pattern revealed that both films are single phased with
a strong c-axis orientation. Both films exhibit a very smooth surface as observed
from scanning electron micrographs. A grain size of _¼ #m was observed for both
films.
v _e_
|
÷
A
A ÷
e ! l
OQ 85 95
A
A
A
A 4"
.L
TEHPE]RI:ITURI[ (K)
ee
FIGURE i. Dc resistance versus temperature of 0.7 Mm (+) and 0.4 Mm (A) laser ablated YBa2Cu307_6
thin films on LaAlO_.
262
The power transmission measurements were performed using an HP-8510 network
analyzer connected to a helium gas closed cycle refrigerator by Ka-band (26._
to 40.0 GHz) waveguides. All the measurements were taken under vacuum (<10-5
torr) in a custom designed vacuum chamber. Inside the vacuum chamber the sample
was clamped between two waveguide flanges mounted on top of the cold finger of
the refrigerator. The waveguides were made of stainless steel to minimize heat
conduction from the external waveguide arrangement and their inner surfaces were
gold-plated to reduce microwave energy losses. Vacuum was maintained at the
waveguide feedthroughs by means of '0' rings and mica sealing windows. The
temperature of the sample was monitored using silicon diode sensors mounted on
the waveguide flanges supporting the sample. All the measurements were taken
during sample cooling.
The measured temperature dependence of the transmitted power through the
sample for both films under consideration is shown in fig.2 . Note that for the
0.7 #m film both, the onset temperature for the transition from the normal to
the superconducting state (~91 K) and the transition temperature Tc ( 89.7 K),
are clearly observed in this measurement. For the thinner film a sharp drop in
transmitted power is observed below the onset temperature, with an attenuation
of approximately 20 dB at temperatures around 80 K. The most relevant feature
of the power versus temperature curve for this film is the sudden increase in
transmitted power at temperatures below 80 K. This feature is an indication of
the formation of a leakage source (micro-crack or pinhole) which broadens as the
temperature decreases allowing more power to leak through the film. At
temperatures below 50 K the amount of power leaking through the film reaches a
constant value suggesting no significant variation of the leakage sources as a
function of temperature in this temperature region.
r. l, t L t t _ t t , t | t t t t J. t t t t | P. t '._J.--
_O 1_ LSO ;_l_i_ 250 3_
FIGURE 2. Transmitted power versus temperature of 0.7 /sm (+) and a 0.4 /sm (A) laser ablated
YBa2Cu307_ 6 thin films on LaAI03 at 35 GHz.
263
The normal state microwave conductivity, aN, was obtained from the power
transmitted through the sample in the normal state, PN, according to the
expression 5
ON=(-RP N + [(RPN)2-4GPN(HPN-8n2)]½)/2GPNdZc (1)
where
G=(112+1)+ (n2-I_cos (2kE)
R=2(3nL+I )+2 (n_-I]cos (2k_.)
H=n4+6n2+l- (nL-I)Lcos (2k£)
(1.a)
(1.b)
(1.c)
with Zc the characteristic impedance of the waveguide, d the film thickness, E
and n the substrate thickness and the index of refraction respectively, and k
the wave number. At temperatures below the beginning of the transition, the
microwave conductivity takes the form a*=al-Ja2 . We have calculated aI by using
al=aN(T/Tc) 4, as defined under the two-fluid model approximation. Values of u2
were obtained using the relation 5
a21ac=-#I(2acdZ¢)+ {[(#12)2-7]I(acdZc)2 _aallaedZc_(alloc)2+...
•.. (Pc/Ps)[l+MacdZc + ?/ (acdZc)L}_ (2)
with Ps the power transmitted through the film for T<Tc, aC and Pc are the
conductivity and transmitted power respectively at T=T¢, a=R/G, 7=H/G and fl=[-
2n(n2-1)sin(2kE)]/G.
Figure 3 shows the temperature dependence of or (ar=# N for T>T G and ar=O I for
T<Tc) for the samples under study. The conductivities (~2.3 X 102 S/m) at room
temperature are in close agreement for the two films considered. These values
also comRare favorably with reported values for the dc conductivity in this type
of film. II Hence, using the value of aN we found a typical resistivity, p, of
about 435 #fl-cm at room temperature and of 133 and 160 #fl-cm at temperatures
around 100 K, for the 0.7 and 0.4 #m films respectively. These resistivity values
are on average a factor of 1.5 greater than the values for p (p~2go #fl-cm at 300
K and p~95 #fl-cm at 100 K) obtained from surface resistance (Rs) measurements
in strg_gly c-axis oriented YBa2Cu307__ thin films on SrTi03 as reported by Klein,
et al._= The normal conductivity of both films exhibi_ a metallic behavior with
decreasing temperature , reaching values of ~7.7 X 102 S/m for the thicker film
~
and of 6.3 X 10 S/m for the thinner one, at the onset temperature. Below To,
the values of ai were obtained using the value of the conductivity at the onset
temperature in the expression al=aN(T/Tc) 4. Values for aI of ~6.3 X 105 and 4.6
X 102 S/m were obtained at 85 K for the 0.7 #m and 0.4 #m films respectively. At
temperatures around 50 K and below the values for aI for the 0.7 _m film has
decreased by one order of magnitude. Because the 0.4 #m film exhibited leakage
of microwave power below 80 K, no data are shown below this temperature.
Figure 4 shows the imaginary part of a for both f11ms. For the 0.7 #m film,
values for a2 of ~4.9 X 106 and 7.0 X 106 S/m were obtained at temperatures
around 80 and 50 K respectively. These values are greater than those obtained
for YBa2Cu307_6 laser ablated films deposited on MgO and Zr02 .5 Due to the leakage
sources formed in the 0.4 #m film, we were unable to obtain values of a2 at
temperatures below 80 K. A value of 3.5 X 106 S/m was obtained just below the
onset temperature (~92 K) and of 5.4 X 106 S/m at 85 K. Note that the increase
264
of a2 with decreasing temperature corresponds to an increase in electron pairs
which imp]ies a reduction of the norma] carrier density.
L_
m 8
W
M
>
I-¢
tN
U
2 4
o
U
.d
a:
_2
. :''l''''li'allI'' 'll'_'l¢_i ilI
- l:l
AJ A
"" ,i
,mm,tL, , , , I , , , , I , , , , I ,, , , I , ,, ,
T'F..HPERRTUR_ (K}
FIGURE 3. Real part of the conductivity, a_, versus temperature for 0.7/_..(o) and 0.4/_m (A) laser
ablated YBa-Cu_O7 - thin films on LaAIO_ a[ 35 GHz; _r _ for T>T and _ a- for T<T Open symbolsZ -b . . J . C E I. . C"
represent values o_ the conductlvlty calculated dlrectly from power transmlsslon measurements and
filled symbols represent values of the conductivity calculated using the two-fluid model.
m
_e
N
g
D
0
0
A
'I
!
• IN
' iA
A
TI[NPI[RFiTUR[ ¢K)
FIGURE 4. Imaginary part of the conductivity, _, versus temperature for 0.7 /_m (Z3)and 0.4 /_m (A)
laser ablated YBa2C%0___ thin films on LaAl03 at 35 GHz.
265
The values of a I and o2 have been used to estimate values for the magnetic
penetration depth X and the surface resistance Rs.13 Values of Xo=0.67 #m and
Rs~9mAat 77 K were obtained. These values are in close agreement with those
obtained by other researchers. 12
The conductivity values have been used to calculate the Q-factor of a ring
resonator, which has a superconducting strip and a normal conducting ground
plane. This resonator is shown in figure 5 and consists of a microstrip ring
with a circumference that is three wavelengths in length at the design frequency
of 35 GHz. Straight lengths of superconducting strip provide input to the ring
with coupling achieved by small capacitive gaps. The substrate is 10 milliinch
thick lanthanum aluminate; and the characteristic impedance of the line is 45
ohms.
SUPERCONDUCTING
STRIP LINE "_,
\
\\ --- RING = 3_.
k ,.
__------_ _ ,, =o,5_
GROUND ,'" I t,
PLANE --'" -___/ ..... ,.- -,w ,
t2 l,_"r_'_-',"-_"*r_-_,','_'_._'_'_"d/
Au
( Titanium Layer )
FIGURE 5. 35 GHz ring resonator microstrip transmission line circuit.
The "Q" of the ring is determined by two major loss mechanisms, I) dielectric
loss in the substrate and 2) resistive losses in the conductors. Radiation loss
is assumed to be negligible in this case since the resonator, when being measured
experimentally, is shielded by a section of waveguide below cutoff which acts
to suppress radiation by the circuit. Dielectric losses can be calculated using:
_d = 3.15 (q*_/_eff) (tan 61kg) Nepers/m (3)
where _d14 is the attenuation constant due to dielectric loss, 'q' is a
geometrical 'filling factor', e and eelf are the static and effective dielectric
constants, tan 6 is the dielectric loss tangent and Xg is the transmission line
wavelength. In these calculations we have used a value of 5.8 x 10.4 for tan 615
but it should be noted that authoritative values for the loss tangent have not
been established.
266
The conductor losses were calculated by the Phenomenological Loss Equivalence
Method_(PEM), an analytical solution for loss in microstrip lines that accounts
for thin conductors. The attenuation due to the loss in the conductors is given
by :
_¢ = Zri/(2*Zc) Nepers/m (4)
where Zri is the real part of the internal impedance of the strip and ground
plane and Zc is the characteristic impedance of the line. The internal impedance
(Zi) is obtained through the PEM where:
Zix = Zsx * Gx * coth(Zsx * ax * Gx * A) (5)
Gx is a geometrical factor, A the cross sectional area of the strip, Zsx is the
surface impedance and aX the conductivity of the conductor material of the strip
or ground plane (x denotes different values for strip and ground plane). The
a values are obtained from the transmission data and the surface impedance is
calculated from them. The "Q" of the ring is calculated as:
i = 2(ac + ad) (6)
where p is the propagation constant of the line.
Using values of the conductivity obtained form the .7# film and the tan 6 as
noted above, the "Q" values were calculated and compared to results obtained from
a resonator made from a film fabricated under similar conditions (figure 7).
Also shown are the measured "Q" values for a resonator with a normal metal
(gold) strip and ground plane. While the superconducting strip performs better
than the normal metal, the measured "Q" values do not follow those predicted by
the calculations using the transmission conductivity values.
tlm
m
8N
x NERmJR_ HT8
÷ CPLCIJI.RT_ 11111
I i
2B 4B Bl$ lib tm
(KELVIN)
FIGURE 6. Measured and calculated values of unloaded Q for superconducting and normal resonators.
267
In summary, we have obtained the microwave conductivity at 35 GHz of laser
ablated YBa2Cu307__ thin films in the temperature range from 20 to 300 K. The
conductivity values at room temperature are in close agreement with dc values
reported for the same type of material. Comparing the values for a I and a2 for
both films with those previously reported for laser ablated YBa2Cu307__ thin films
on MgO and ZrO2 suggest that LaAIO 3 is a superior substrate for microwave
applications. From these conductivity values, values for the zero-temperature
magnetic penetration depth Xo and the surface resistance Rs, fundamental in the
design of microwave devices and circuits, have been obtained. We have used the
conductivity values to obtain conductor losses and Q-factors of a microwave
transmission line. However, predicted and experimentally observed values are not
in good agreement. Further work is needed in developing an accurate correlation
between measured conductivity values and microstrip performance.
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269



Microwave conductivity of laser ablated YBa2Cu3O(7-delta) superconducting films and its relation to microstrip transmission line performance

Microwave conductivity of laser ablated YBa2Cu3O(7-delta) superconducting films and its relation to microstrip transmission line performance

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