We present measurements of longitudinal ultrasonic velocity on single crystals of the heavy-fermion superconductor UPt3. The measurements show clear signatures of second-order phase transitions in the superconducting state, with the velocity anomalies well accounted for by Ginzburg-Landau theory. From these signatures we construct a phase diagram for UPt 3 that reveals all the boundary lines that have been identified as possible phase transitions. We are able to track the phase transition lines to a tetracritical point, located on the upper-critical-field curve, to within the width of the normalsuperconducting transition.PACS numbers: 74.30. Gn, 62.80.+f, 74.70.Tx This Letter presents the first complete phase diagram in the field-temperature plane for the heavy-fermion superconductor UPt3 derived from a single measurement technique. UPt3 has shown a variety of interesting properties in the superconducting state which strongly suggest unconventional superconductivity with a multicomponent order parameter. Power-law temperature dependences of ultrasonic attenuation 1 " 3 and heat capacity 4 have been interpreted in terms of a gap with line or point nodes on the Fermi surface. More convincingly, a series of experiments have revealed the presence of more than one superconducting phase: Initially, ultrasonic-attenuation measurements showed the presence of two superconducting phases depending on the magnetic field; 5 " 7 subsequently, heat-capacity measurements demonstrated the presence of multiple superconducting phases even in zero field. 8,9 A composite phase diagram assembled from different measurements (ultrasonic-attenuation, 5 heat-capacity, 9 and torsional-oscillator data 10 ) on different samples indicates that UPt3 has at least two and possibly three superconducting phases. However, this interpretation relies on data from a variety of measurement techniques on samples with transition temperatures ranging from 420 to 540 mK.Here we present measurements of ultrasonic velocity on two samples of UPt3. Our velocity measurements yield a more complete phase diagram for superconducting UPt3 than has previously been available. Earlier attenuation measurements on one of the samples 7 (sample No. 1) revealed a peak in the attenuation (the 7/FL peak) in field sweeps at constant temperature, as well as a peak (the X peak) in temperature sweeps in low field. From these attenuation studies it was not possible to follow Hf^(T) very close to the upper-critical-field line HdiT).Thus, it was not possible to answer with confidence the basic question of how many phases there are in UPt3. Theoretical proposals for the phase diagram of UPt 3 have been published by several authors. 11 ' 13 Our results bear directly on these theories:The phase diagrams obtained by a single measuring technique on both of the samples studied give strong support for a tetracritical point intersecting the uppercritical-field line, for fields both parallel and perpendicular to the c axis. In addition, the velocity anomalies at both zero-field transitio...
Although surgical treatment of sagittal synostosis has become normative, the procedure of choice is still debated. This retrospective analysis, during a 10-year period (1986-1995) at Children’s Hospital Los Angeles, compares the more conservative strip craniectomy (SC) procedure with a more extensive occipital reduction-biparietal widening calvarial vault remodeling (CVR) technique for the management of sagittal synostosis. SC was performed in 72 patients (61%) and CVR in 46 (39%). Patients undergoing CVR were older (mean 5.3 vs. 3.0 months, p< 0.01), the procedure time longer (mean 126 min vs. 72 min, p < 0.01), intraoperative blood loss greater (mean 243 vs. 54 cm3, p < 0.01), and the frequency of intraoperative blood transfusion increased (100 vs. 38%, p < 0.01; mean volume 357 vs. 51 cm3, p < 0.01) compared to patients undergoing SC. No significant intraoperative complications occurred in either group. The total time of hospitalization was similar (mean 4.4 vs. 3.8 days, p = 0.02). No neurological, hematological, or transfusion-related complications or deaths were encountered in either group. Cosmetic outcomes were significantly better in the CVR group with 79% rated as excellent compared to 41% in the SC group (p < 0.01). Fifty-nine percent of the SC patients manifested bony defects at last follow-up visit. Two SC patients required reopera-tion for poor cosmetic outcomes; CVR was successfully employed in both cases. These findings demonstrate that CVR is superior to SC in providing immediate and lasting correction of calvarial deformities secondary to sagittal synostosis. The optimal age at time of surgery is <6 months; however, CVR can be utilized throughout infancy, while SC becomes progressively less effective after 6 months of age. No significant complications were observed in either group, despite the increased operative manipulation and greater incidence of blood transfusion in the CVR patients.
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