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Weyl spin liquids.

M Hermanns1, K O'Brien1, S Trebst1

  • 1Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany.

Physical Review Letters
|May 2, 2015
PubMed
Summary
This summary is machine-generated.

We discovered that magnetic moments fractionalize into Majorana fermions in a 3D Kitaev model, forming a Weyl spin liquid. This exotic state exhibits unique topological properties and collective behaviors in materials like β-Li_{2}IrO_{3}.

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Area of Science:

  • Condensed-matter physics
  • Quantum many-body systems
  • Topological materials

Background:

  • Fractionalization of quantum numbers is key in many-body systems.
  • Examples include fractional electrons in quantum Hall liquids and magnetic monopoles in spin ice.
  • Kitaev models describe interacting quantum systems with exotic emergent phenomena.

Purpose of the Study:

  • To investigate the fractionalization of magnetic moments in 3D Kitaev models.
  • To explore the emergent collective behavior of Majorana fermions.
  • To identify and characterize a novel topological quantum state in specific materials.

Main Methods:

  • Analytical demonstration of Majorana fermion fractionalization.
  • Application of magnetic fields to the Kitaev model on a hyperhoneycomb lattice.
  • Characterization of bulk and surface topological features.

Main Results:

  • Magnetic moments fractionalize into Majorana fermions and a Z_{2} gauge field.
  • Majorana fermions form a Weyl superconductor in the β-Li_{2}IrO_{3} material under a magnetic field.
  • A Weyl spin liquid state with topologically protected features was identified.

Conclusions:

  • The study reveals a novel Weyl spin liquid state arising from magnetic moment fractionalization.
  • This state exhibits unique thermodynamic and transport signatures.
  • The findings open new avenues for exploring topological quantum phenomena in condensed matter.