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physica B 165&166 (1990) 1365-1366North-Holland
MAGNETORESISTANCE MEASUREMENTS ON SINTERED YBa2Cu30 7_S
Magnus ANDERSSON and Osten RAPP
Solid State Physics, The Royal Institute of Technology,S-100 44 Stockholm, Sweden
We have measured the magnetoresistanceup to 0.16 in magnetic fields up to 12method. Qualitative agreement is foundveloped theories for magnetoresistance
1. INTRODUCTIONA lot of work has been made in trying
to understand the superconducting transition of high temperature superconductors. In this respect, the analysis ofthe excess conductivity just above thesuperconducting transition temperatureT plays an important role. By an extrap51ation of the normal-state resistivityfrom temperatures far above T down toT , it is not possible to tak~ the det&iled temperature dependence of thenormal-state resistivity into account.Magnetoresistivity measurements do notsuffer from this drawback.
There are two contributions to themagnetoconductivity; the Aslamazov-Larkinterm1 (AL) and the Maki-Thompson term2- 3(MT). Recently, theoretical expressionfor these terms have been calculated forlayered high-temperature superconductorswith an applied magnetic field B perpendicular to the conducting Cuo-planes. 4- 5
According to this theory, the total magnetoconductivity ~a = (j (B) -a (0) consistsof four contributions; the orbital andZeeman contribution of the AL and MTterm respectively.
Measurements of magnetocon~uctivity
on YBa 2Cu30 7 _S single crystals have showngood agreement between theory and experiment in magnetic fields up to 12 T andtemperatures close to T , E=(T-T )/T lessthan 0.04. In polycryst&lline m&terlals,the measured magnetoconductivity has turned out to be lower than eXgected fromtheoretical considerations. Severalfactors contribute to this effect: (i)the temperature derivative of the resistivity is lower than in single crystals(ii) the incomplete packing of the sintered material, which leads to an apparentlarger resistivity p in sintered samples.
Furthermore, the directional averagingof p and ~a(B) both reduce the observed~a(B) .
of sintered YBa2Cu30 7_S for E=(T-T )/TT, by using an ordlnary resistiv~ cbetween measured data and recently dein high-temperature superconductors.
We here present our preliminary results for ~a(B) of sintered YBa2Cu30 7_Sin magnetic fields up to 12 T measuredby a direct resistive method. Earlier,Matsuda et al have measured the magnetoconductivity up to 4 T using a fieldmodulation technique. 7 Their method ismore sensitive than ours, but probablylimited to lower magnetic fields due tothe use of ac currents.
2. EXPERIMENTALThe measurements were performed in a
commercial flowing gas cryostat equippedwith a 12 T superconducting magnet. Thetemperature was controlled to betterthan several mK by a magnetic field independent capacitive sensor. To furtherguarantee a stable temperature, thesample was protected from the flowinggas in the cryostat by an extra temperature shielding. By regulating the
0.70 r-----.-----,--------r----,
0.65
0.60
0.55
0.50
0.45
0.40 '--__.....L .L- ----I._----'
100 120 140
Temperature (K)
FIGURE 1Normalized resistivity versus temperaturecurve for YBa2Cu30 7_ near T . The regionused for magnetocon8uctivity measurementsis marked in the figure.
0921-4526/90/$03.50 © 1990 - Elsevier Science Publishers B.V. (North-Holland)
1366 M. Andersson, 6. Rapp
10000 ..------,.-----,.-------,6
~ B =2TE 5
";"C;
4~ab = 15A
0- 0 ~ =3A1- 3/>. C
Ol />.
2- o />.
2 o/>.
0 00.60 0 0
1-2.5 -2.0 -1.5 -1.0 -0.5
log «T-T)fT)
ACKNOWLEDGEMENTSWe are grateful to Mats Nygren and
Zsolt Hegedus, Stockholm University, forhelp and advice in sample preparation.This work has been supported by theSwedish National Research Foundation andby the Board for Technical Development.
as ba (B) .In the e-region from about 0.007 to
0.07 the temperature dependence of ba(B)is in good agreement with theory. Theexperimental data are a factor 1/75 below the theoretical ones. This is partly due to arbitrary grain directions(1/3) and resistivity anisotropy (1/2)9,but still a factor 1112.5 remains. Thisis attributed to inclusion of voids inthe sample and the lower temperature derivative of the resistivity compared tosingle crystals.
FIGURE 3Temperature dependence of the magnetoconductivity for two YBa2Cu301_5sampleswith an applied field of 2T. rne solidline represent the theoretical expression including the leading terms in theAl- and MT-terms with Bile-axis .
15
,.
E = 0.010
E = 0.160
E = 0.032
. "
..
. . .
, ' E = 0.016
......•• • £ = 0.007
..... ." ... " ",..
..
..
.. "..'.'.' '.',.'.,
o --" "o
500
2000 1-0'
1000
1500
8000
4000
6000
~ ..E .'
0 .'-9-~
2500
2000
5 10
Magnetic field (T)FIGURE 2
Magnetoconductivity of YBa2Cul 0 7_5 atdifferent temperatures above T . Notethat the scales of the ordinat~s are notthe same in the figures.
temperature of this shield, the coolingcapacity to the sample could be accurately controlled.
Resistance was measured by a dc current comparator bridge with a resolutionof a few nV.
Sintered samples were prepared according to sta~dard methods as describedpreviously. Two different samples wereused as a check of the reproducibilityof results for sintered samples.
3. RESULTS AND DISCUSSIONIn fig 1, we have marked the region
used for magnetoresistivity measurements.The magnetoconductivity for some reducedtemperatures e are shown in fig 2. We seea clear change in behaviour from temperatures close to T , where the magnetoconductivity changes more rapidly at lowapplied fields, than at higher t~mper
atures, where we have almost a B dependent ba(B). This is in good qualitativeagreement with theoretical expressions.
To simplify the anlaysis we extractedin fig 3 the temperature dependence ofba(B) at 2T from results such as in
fig 2. For high temperatures, we reachthe limit where temperature fluctuationsin the sample is at the same magnitude
REFERENCES(1) L.G.Aslamazov and A.I.Larkin, Phys.
Lett. 26A (1968) 238.(2) K.Maki, Prog.Theor.Phys. 39 (1968) 897.(3) R.S.Thompson, Phys.Rev. Bl (1970) 327.(4) S.Hikami and A.I.Larkin, Mod.Phys.
Lett. B2 (1988) 693.(5) A.G. Aronov, S.Hikami and A.I.Larkin
Phys.Rev.Lett 62 (1989) 965.(6) M_Hikita and M.Suzuki, Phys.Rev. B41
(1990) 834.(7) Y.Matsuda et al., Solid State Comm.
68 (1988) 4756.(8) M.Andersson et al., Physica C 160
(1989) 65.(9) T-K.Xia and D.Stroud, Phys.Rev. B37
(1988) 118