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Scanning SQUID Study of Vortex Manipulation by Local Contact
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Pseudospin Vortex Ring with a Nodal Line in Three Dimensions.

Lih-King Lim1,2, Roderich Moessner2

  • 1Institute for Advanced Study, Tsinghua University, Beijing 100084, People's Republic of China.

Physical Review Letters
|January 21, 2017
PubMed
Summary

We introduce a novel 3D topological semimetal model featuring a vortex ring nodal line. This unique topology generates a maximal anomalous Hall effect and Skyrmionic pseudospin patterns.

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials
  • Quantum Phenomena

Background:

  • Topological semimetals exhibit unique electronic properties governed by band topology.
  • Weyl semimetals, characterized by point nodes, are a prominent class of topological materials.
  • Understanding novel topological phases and their associated phenomena is crucial for advancing condensed matter physics.

Purpose of the Study:

  • To present a new three-dimensional topological semimetal model with a distinct nodal line topology.
  • To investigate the electronic properties and emergent phenomena arising from this vortex ring nodal line.
  • To establish a connection between different momentum-space topological structures.

Main Methods:

  • Development of a theoretical model for a 3D topological semimetal.
  • Analysis of the energy spectrum to identify the nodal line structure.
  • Investigation of pseudospin textures and Fermi arcs.
  • Exploration of the transition to Weyl nodes by tuning model parameters.
  • Formulation of both continuum and tight-binding lattice models.
  • Analytical computation of the Landau level spectrum.

Main Results:

  • The model exhibits a nodal line in the shape of a vortex ring, linked by a smoke ring-like pseudospin structure.
  • Skyrmionic pseudospin patterns emerge on either side of the nodal ring plane, covering the entire Brillouin zone.
  • A fully extended chiral Fermi arc and a maximal anomalous Hall effect are predicted.
  • Tuning a parameter transforms the vortex ring into a pair of Weyl nodes with opposite chirality.
  • A direct link between vortex ring and monopole-antimonopole topologies is established.

Conclusions:

  • The proposed model offers a new platform for studying topological semimetals beyond the conventional Weyl node paradigm.
  • The vortex ring topology leads to unique phenomena, including a maximal anomalous Hall effect and extended chiral Fermi arcs.
  • The model provides a bridge between distinct topological concepts in momentum space.
  • The simplicity of the model allows for analytical investigations, such as Landau level spectrum calculations.