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In aromatic compounds, such as benzene, the circulation of (4n + 2) π-electrons sets up a diamagnetic or diatropic ring current around the perimeter of the molecule. This current induces a magnetic field that opposes the external field inside the ring and reinforces it on the outside. The protons in benzene are deshielded and exhibit high chemical shifts in the range 6.5–8.5 ppm. The shielding effect at the center of the ring is evident in complex aromatic molecules, such as...
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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
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Phase shift in skyrmion crystals.

Satoru Hayami1, Tsuyoshi Okubo2, Yukitoshi Motome3

  • 1Department of Applied Physics, The University of Tokyo, Tokyo, Japan. hayami@ap.t.u-tokyo.ac.jp.

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|December 2, 2021
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Summary
This summary is machine-generated.

Phase shifts in magnetic skyrmion crystals create new topological spin textures like vortex crystals and meron-antimeron crystals. This discovery opens avenues for emergent electromagnetism and novel transport phenomena.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Spintronics

Background:

  • Magnetic skyrmion crystals are periodic topological spin textures formed by interfering helical spin density waves.
  • The phase degree of freedom in these waves influences magnetic and transport properties, but its effects remain largely unexplored.

Purpose of the Study:

  • To theoretically investigate the impact of phase shifts on magnetic skyrmion crystal textures.
  • To explore the resulting spin textures and their associated transport phenomena, particularly nonreciprocal transport.

Main Methods:

  • Theoretical modeling of magnetic skyrmion crystals with controlled phase shifts.
  • Analysis of emergent spin textures, scalar spin chirality patterns, and transport properties.

Main Results:

  • Phase shifts induce novel topological spin textures: tetra-axial vortex crystals and meron-antimeron crystals.
  • These new textures exhibit staggered scalar spin chirality, leading to nonreciprocal transport phenomena.
  • The phase shifts can be driven by exchange interactions, thermal fluctuations, and chirality interactions in spin-charge coupled systems.

Conclusions:

  • Phase shift engineering offers a new pathway to diversify topological spin textures.
  • This work establishes a foundation for emergent electromagnetism driven by phase shifts in magnetic materials.