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Submitted on 1 Jan 1978
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RESISTANCE ANOMALIES IN PRASEODYMIUM
UNDER PRESSURE
M. Heinrichs, J. Wittig
To cite this version:
JOURNAL DE PHYSIQUE Colloque C6, supplPment au no 8 , Tome 39, aolit 1978, page C6-1072
R E S I S T A N C E ANOMALIES I N PRASEODYMIUM UNDER PRESSURE
M. Heinrichs and J. Wittig
I n s t i t u t
far
Festkiirperforschung, KFA JiiLich, 0-51 7 0 Jiilich, GermanyRdsum6.- La caractdristique R-T du Pr prdsente une interessante anomalie au-dessus de 40 kbar. Quand la tempdrature diminue, la rdsistance passe par un minimum suivi d'un maximum. La rdsistivitd r6si- duelle est maximum vers 60 kbar. Une correspondance dtroite entre les diagrammes de phase P-T de Pr et du La devient ainsi apparente.
Abstract.- The R-T characteristic of £cc Pr shows an interesting anomaly at pressures above 40 kbar. With increasing temperature the resistance passes a maximum followed by a minimum. The residual re- sistivity reveals a maximum at approximately 60 kbar. A close correspondence between the P-T phase diagrams of Pr and La thus becomes apparent.
A point of inflection had been reported in the R-T characteristic for lanthanum under pressure. Futhermore, a maximum occurs in the residual resis- tivity at253 kbar/l/. Pr has the same outer elec- trons as La besides the 4f2 configuration. One should hence expect very similar metallic proper- ties apart from Pr's magnetism. We have searched for the corresponding phenomena in Pr and have obser- ved them indeed at slightly higher pressures than for La.
Figure 1 shows R-T curves for £cc-pr2 at in- dicated pressures. A hump is seen in this family of curves.
pressure and is just below room temperature at 75 kbar. Irreversibilities between cooling and war- ming are very small and of the order of the width of the lines. At 130 kbar the R-T characteristic is still highly anomalous (figure 1) : the tempera- ture coefficient is vanishingly small down to = 150 K. Below = 50 K, the resistance drops steeply.
Figure 2 shows the residual resistance as a function of pressure for one particular pressure cell.
PRESSURE l kbar 300
C
Fig. 2 : Residual resistance vs. pressure. The pres- sure changed at room temperature in the indicated sequence.
I I
-
-
Starting at data point 1 , the pressure has been stepwise increased at room temperature.A maximum occurs between 60 and 65 kbar. On the pressure re- leasing cycle (open circles, 6..
.
IS), the maximum ~ i g . 1 : R vs. T for £cc-Pr at indicated pressures. is less pronounced. We attribute this to some otherperturbing influence of unknown arigi'n which leads It shifts to higher temperatures with increasing to a decrease of R q S 2
K
after a constant pressureE
W'
75 k bar3
S
g
m-
100, 100 200 300 Temperaturel Krun between 300'K-and 4.2 K (see e.g. the pairs of data points 8,9 or 16,17). The existence of a maximum in the residual resistivity has however been clearly established by changing the pressure at li- quid He temperature. In figure 3, the pressure was increased from 53 kbar to 82 kbar (1...7).
I I I
60 70 80
PRESSURE1 kbar
Fig. 3 : Residual resistance vs. pressure. The pres- sure was changed at liquid He temperature.
The resistance increases presumably due to cold working with a tendency towards saturation. During the release of pressure (open circles, 7. ..15) RqeZK passes a maximum near 60 kbar. This maximum was E-
producibly observed upon again increasing the pres- sure (figure 3, triangles, 15
...
22). The sample was never warmed above 10K in these series of experi- ments.We have thus observed qualitatively the same anomalies in Pr at slightly higher pressures than for La / l / . Hence a very close correspondence bet- ween the P-T phase diagrams of both metals becomes apparent. Figure 4 shows a tentative low temperatu- re phase diagram. The location of the dhcp-fcc pha- se boundary is as yet uncertain for Pr. One of the interesting features is a possible phase boundary at higher pressure (bold lines) associated with the points-of-inflectinn anomaly. The slope of the pha-
se boundary is nearly the same for Pr and La. It had been suggested that La may undergo a subtle fcc+fccl transformation upon crossing the points- of-inflection anomaly. An isostructural transforma- tion is a lattice instability and will be probably accompanied by phonon-softening. This may have a profound influence on the resistivity and thus cause the points-of-inflection. However it should be noted that the existing X-ray data /3/ are not
precise enough to exclude the occurence of a small lattice distortion from the cubic symmetry.
300
] L a = d h c p \ fcc
,
,
I
~r I.::\
d h c ~':
fcc/
,j'f0 20 L0 60 80
PRESSURE / kbar
Fig. 4 : Tentative P-T phase diagram for La and Pr.
The maximum of the residual resistivity at 53 and =60 kbar in La !l/ and Pr respectively is attributed to another subtle phase transformation at low temperature (figure 4). ~lztzel and Frits- che /4/ have recently suggested that an electronic Lifshitz-transition /5/ may be the origin of this phenomenon. In summary we think the present data point toward an extremely similar electronic band structure for Pr and La.
References
/l/ Balster,H. and Wittig,J., J. Low Temp. Phys. 21 (1975) 377
-
/2/ Piermarini,G.J. and Weir,C.E., Science
144
(1964) 69/ 3 / Syassen,K. and Holzapfel,W.B., Solid State Commun.
16
(1975) 533141 Glstzel,~. and Fritsche,L., Phys. Stat. Sol. (b)