The momentum‐dependent splitting of spin‐bands in an electronic system is known as the “Rashba effect.” Systems with the Rashba effect possess a Dirac point in momentum space, which may act as a source of Berry's phase for the conduction electrons of such system. Herein, the Shubnikov–de Haas oscillations (SdH) at the conducting interface of EuO–KTaO3 (KTO) are reported. The observed SdH oscillations suggest the presence of two Fermi surfaces. For both Fermi surfaces, the presence of a Berry's phase is seen. Strong spin–orbit coupling is also observed in this system. The existence of two Fermi surfaces with Berry's phase along with the signature of strong spin–orbit coupling suggest the formation of Rashba spin‐split bands. As in topological insulators, two‐fold planar Hall effect and anisotropic magnetoresistance are also observed in EuO–KTO. Analyzing the SdH, Hall, and magnetoresistance data, the authors draw a possible band diagram near the Fermi surface.

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Abstract. We prove that the space of smooth rational curves of degree e in a general complete intersection of multidegree (d1, . . . , dm) in P n is irreducible of the expected dimension ifand n is large enough. This generalizes the results of Harris, Roth and Starr [9], and is achieved by proving that the space of conics passing through any point of a general complete intersection has constant dimension if m i=1 di is small compared to n.

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We report here, for the first time, synthesis of the Fe(2)N type hexagonal phase of ruthenium carbide by a high pressure-high temperature technique using a laser heated diamond anvil cell (LHDAC). The synthesis is carried out by laser heating a mixture of pure elements, Ru and C, at very low 'pressure' of 5 GPa and T ~ 2000 K. The structure of the temperature quenched high pressure phase is characterized by in situ high pressure x-ray diffraction (HPXRD) and is corroborated by ex situ TEM imaging and diffraction, carried out for the first time on the retrieved sample synthesized by LHDAC. The lattice parameters of Ru(2)C at ambient pressure are found to be a = 2.534 Å and c = 4.147 Å. In situ HPXRD studies up to 14.2 GPa yield a bulk modulus of 178(4) GPa. Electronic structure calculations reveal the system to be metallic in nature with a degree of covalence along the Ru-C bond. As ruthenium is isoelectronic to osmium, this result for Ru(2)C has significant implications in the synthesis and study of osmium carbides.