Purcell from Harvard University, were jointly awarded with the Nobel Prize in Physics in 1952 for their contributions to the field of magnetic resonance. The two principal investigators of these groups, Felix Bloch from Stanford University and Edward M. In the 1940s, two research groups independently obtained the first successful measurements of NMR in condensed matter. It is based on the physical phenomenon of magnetic resonance that was first demonstrated by Isidor I. In (f), HQV crossings are seen to lead to a dip in main peaks of MR oscillations.Nuclear magnetic resonance (NMR) spectroscopy is a physicochemical technique used to obtain structural information about molecules. Lower panels: The expected MR oscillations, Δ R ( Φ ), calculated using Eq. ( 1) with Δ E = Δ E f l. (d)–(f) Upper panels: Values of the “excitation energy” between the “ground” and the “first excited” fluxoid state, Δ E f l ( Φ ), computed from the free-energy differences shown in (a)–(c) (lower panels). Returning from the “first excited” to the “ground” fluxoid state corresponds to the exit of a FQV or HQV on the other side of the cylinder (no arrows are shown). The transition is accompanied by the entry of a FQV or HQV into the interior of the cylinder. A transition from the “ground” to “first excited” fluxoid state at a fixed Φ is seen, as indicated by arrows (blue for FQV and red for HQV). When the free-energy parabolas for the HQV fluxoid state are lowered sufficiently by geometrical constraints and/or the application of H | | a b, the HQV fluxoid state become the “ground” state near Φ = ± Φ 0 / 2 (red solid lines). #SHIFT ALL PEAKS INMR FREE#Three different combinations of ρ s p / ρ s and ( 1 + β ) − 1 values were used to calculate the free energy (see main text). The dashed line in the upper panels indicates the zero value of I s. (a)–(c) Circulating supercurrent I s (upper panels) and the kinetic-energy part of the free energy F (lower panels) of a doubly connected cylinder of a spin-triplet superconductor in a fluxoid state ( n s, n s p ) as a function of Φ calculated using Eq. ( 2). ‡Present address: School of Electrical and Electronic Engineering, Harbin University of Science and Technology, 52 Xue Fu Lu, Nangang, Harbin, 150080 Heilongjiang, China.įluxoid-state free energy and MR oscillations.†Present address: Department of Physics, University of Texas, Austin, TX 78712, USA.*Present address: Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA.5Department of Physics, Tulane University, New Orleans, Louisiana 70118, USA.4Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland.3Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5S 1A7.2Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7.1Department of Physics and Materials Research Institute, Pennsylvania State University, University Park, Pennsylvania 16802, USA.Elliott Ortmann 5,†, Weifeng Sun 5,‡, Zhiqiang Mao 1, and Ying Liu 1,§ Ying 1, Hae-Young Kee 2,3, Manfred Sigrist 4, J. We argue that these features are due to the formation of spin counterflow HQV in a spin-triplet superconductor, which provides additional evidence for the existence of HQV and insights into the physics of this highly unusual topological object. We report in this paper the detection of distinct features in vortex crossing induced magnetoresistance (MR) oscillations in doubly connected, mesoscopic cylinders of single-crystal Sr 2 RuO 4, which include a dip and secondary peak in MR, in the presence of a sufficiently large in-plane magnetic field. However, important questions on the HQV, such as its stability, have remained largely unexplored. Cantilever torque magnetometry measurements revealed previously experimental evidence for HQVs in doubly connected, single-crystal samples of Sr 2 RuO 4 with a mesoscopic size. A spin counterflow half-quantum vortex (HQV) was predicted theoretically for odd-parity, spin-triplet superconductors. Vortices in an unconventional superconductor are an important subject for the fundamental study of superconductivity.
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