Fermi Surface Instabilities in Ferromagnetic Superconductor URhGe

The field-reentrant (field-reinforced) superconductivity on ferromagnetic superconductors is one of the most interesting topics in unconventional superconductivity. The enhancement of effective mass and the induced ferromagnetic fluctuations play key roles for reentrant superconductivity. However, the associated change of the Fermi surface, which is often observed at (pseudo-) metamagnetic transition, can also be a key ingredient. In order to study the Fermi surface instability, we performed Hall effect measurements in the ferromagnetic superconductor URhGe. The Hall effect of URhGe is well explained by two contributions, namely by the normal Hall effect and by the large anomalous Hall effect due to skew scattering. The large change in the Hall coefficient is observed at low fields between the paramagnetic and ferromagnetic states for H // c-axis (easy-magnetization axis) in the orthorhombic structure, indicating that the Fermi surface is reconstructed in the ferromagnetic state below the Curie temperature (T_Curie=9.5K). At low temperatures (T << T_Curie), when the field is applied along the b-axis, the reentrant superconductivity was observed in both the Hall resistivity and the magnetoresistance below 0.4K. Above 0.4K, a large jump with the first-order nature was detected in the Hall resistivity at a spin-reorientation field H_R ~ 12.5T, demonstrating that the marked change of the Fermi surface occurs between the ferromagnetic state and the polarized state above H_R. The results can be understood by the Lifshitz-type transition, induced by the magnetic field or by the change of the effective magnetic field.Comment: 7 pages, 6 figures, accepted for publication in J. Phys. Soc. Jp

Molten Salt Flux Liquid Transport Method for Ultra Clean Single Crystals UTe2

Various single crystal growth techniques are presented for the unconventional superconductor UTe2. The molten salt flux liquid transport (MSFLT) method is employed to grow high-quality and large single crystals, exhibiting a high residual resistivity ratio (RRR = 200-800). On the other hand, the Te self-flux and chemical vapor transport (CVT) method produces samples of lower quality. The MSFLT method is a hybrid approach that combines the molten salt flux (MSF) and CVT methods. One significant advantage is that the materials gradually crystallize at the relatively low temperature which is fixed during the main process. This might be crucial for preventing U deficiency and obtaining high-quality and large single crystals of UTe2. Many different single crystals obtained by different technique were characterized by resistivity, specific heat measurements. The superconducting transition temperature decreases with the residual resistivity, followed by the Abrikosov-Gor'kov pair breaking theory. The highest quality sample reaches Tc=2.1K. The residual gamma-value of specific heat for the highest quality sample is only 3 percents of the normal state gamma-value. The specific heat jump, Delta C/(gamma Tc) reaches about 2.7 for high quality samples, indicating a strong coupling superconductor. Furthermore, the magnetic susceptibility for the field along a-axis in a high quality single crystal does not show an up-turn behavior on cooling, which is consistent with the results of NMR Knight shift and muSR experiments.Comment: 6 pages, 6 figures, accepted for publication in J. Phys. Soc. Jp

Collapse of ferromagnetism and Fermi surface instability near reentrant superconductivity of URhGe

We present thermoelectric power and resistivity measurements in the ferromagnetic superconductor URhGe for magnetic field applied along the hard magnetization b axis of the orthorhombic crystal. Reentrant superconductivity is observed near the the spin reorientation transition at $H_{R}$=12.75 T, where a first order transition from the ferromagnetic to the polarized paramagnetic state occurs. Special focus is given to the longitudinal configuration, where both electric and heat current are parallel to the applied field. The validity of the Fermi-liquid $T^2$ dependence of the resistivity through $H_R$ demonstrates clearly that no quantum critical point occurs at $H_R$. Thus the ferromagnetic transition line at $H_R$ becomes first order implying the existence of a tricritical point at finite temperature. The enhancement of magnetic fluctuations in the vicinity of the tricritical point stimulates the reentrance of superconductivity. The abrupt sign change observed in the thermoelectric power with the thermal gradient applied along the b axis together with the strong anomalies in the other directions is a definitive macroscopic evidence that in addition a significant change of the Fermi surface appears through $H_R$.Comment: 6 pages, 5 figure