Transition in vortex skyrmion structures in superfluid He 3 -A driven by an analog of the zero-charge effect

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Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2023-03
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Language
en
Pages
13
1-13
Series
Physical Review B, Volume 107, issue 10
Abstract
In quantum electrodynamics, the zero-charge effect originates from the logarithmic dependence of the coupling constant in the action of the electromagnetic field on the ratio of the ultraviolet and infrared energy cutoffs. An analog of this effect in chiral Weyl superfluid He3-A is the logarithmic divergence of the bending energy of the orbital anisotropy axis at low temperatures, where temperature plays the role of the infrared cutoff, and the vector of the orbital anisotropy plays the role of the vector potential of the synthetic electromagnetic field for Weyl fermions. We calculate numerically the spatial distribution of the order parameter in rotating He3-A as a function of temperature. At temperatures close to the superfluid transition, we observe formation of vortex skyrmions known as the double-quantum vortex and the vortex sheet. These structures include alternating circular and hyperbolic merons as a bound pair or a chain, respectively. As temperature lowers towards absolute zero, we find a continuous transition in the vortex structures towards a state where the vorticity is distributed in thin tubes around the circular merons. For the vortex sheet, we present a phase diagram of the transition in the temperature-angular velocity plane and calculations of the nuclear magnetic resonance response.
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Funding Information: We thank G. Volovik, E. Thuneberg, and J. Nissinen for stimulating discussions. This work has been supported by the European Research Council (ERC) under the European Union's Horizon 2020 Research and Innovation Program (Grant Agreement No. 694248) and by the Academy of Finland (Grant No. 332964). We acknowledge the computational resources provided by the Aalto Science-IT project. | openaire: EC/H2020/694248/EU//TOPVAC
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Rantanen , R & Eltsov , V B 2023 , ' Transition in vortex skyrmion structures in superfluid He 3 -A driven by an analog of the zero-charge effect ' , Physical Review B , vol. 107 , no. 10 , 104505 , pp. 1-13 . https://doi.org/10.1103/PhysRevB.107.104505