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Quantum Oscillations in a Spin-3/2 Topological Semimetal

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 Added by Hyunsoo Kim
 Publication date 2020
  fields Physics
and research's language is English




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The intrinsic electron spin $s=1/2$ and its orbital angular momentum $l$ are often blended due to relativistic orbital motion. This spin-orbit coupling (SOC) can be highly strong in compounds containing heavy elements, and therefore the total angular momentum, or effective spin, $j$, becomes the relevant quantum number. The band structure driven by strong SOC effect is fundamentally important in topological matters and is responsible for the quantum spin Hall effect, Weyl physics and high-spin topological superconductivity, which are promising platforms for the quantum devices. However, the high-spin Fermi surface in such systems has not been rigorously verified due to the inaccessible large-$j$ band. Here, we report compelling evidence for a coherent $j$=3/2 Fermi surface in the topological half-Heusler semimetal YPtBi via studies of the angle-dependent Shubnikov-de Haas effect, which exhibits an amplitude variation that is strikingly anisotropic for such a highly symmetric cubic material. We show that the unprecedented, anomalous anisotropy is uniquely explained by the spin-split Fermi surface of $j$=3/2 quasiparticles, and therefore confirm the existence of the long-sought high-spin nature of electrons in the topological RPtBi (R=rare earth) compounds. This work offers a thorough understanding of the $j$=3/2 fermiology in RPtBi, a cornerstone for realizing topological superconductivity and its application to fault-tolerant quantum computation.



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In all known fermionic superfluids, Cooper pairs are composed of spin-1/2 quasi-particles that pair to form either spin-singlet or spin-triplet bound states. The spin of a Bloch electron, however, is fixed by the symmetries of the crystal and the atomic orbitals from which it is derived, and in some cases can behave as if it were a spin-3/2 particle. The superconducting state of such a system allows pairing beyond spin-triplet, with higher spin quasi-particles combining to form quintet or septet pairs. Here, we report evidence of unconventional superconductivity emerging from a spin-3/2 quasiparticle electronic structure in the half-Heusler semimetal YPtBi, a low-carrier density noncentrosymmetric cubic material with a high symmetry that preserves the $p$-like $j=3/2$ manifold in the Bi-based $Gamma_8$ band in the presence of strong spin-orbit coupling. With a striking linear temperature dependence of the London penetration depth, the existence of line nodes in the superconducting order parameter $Delta$ is directly explained by a mixed-parity Cooper pairing model with high total angular momentum, consistent with a high-spin fermionic superfluid state. We propose a $mathbf{kcdot p}$ model of the $j=3/2$ fermions to explain how a dominant $J$=3 septet pairing state is the simplest solution that naturally produces nodes in the mixed even-odd parity gap. Together with the underlying topologically non-trivial band structure, the unconventional pairing in this system represents a truly novel form of superfluidity that has strong potential for leading the development of a new generation of topological superconductors.
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