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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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3D Z-Classified Higher-Order Topological Insulator Induced by Multiple Orbitals.

Shi-Feng Li1, Cui-Yu-Yang Zhou1, Yi-Fan Zhu2

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Researchers achieved the first 3D Z-classified higher-order topological insulators (HOTIs) using synthetic orbitals. This breakthrough enables multidimensional wave control and advances quantum-inspired device engineering.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Matter

Background:

  • Higher-order topological insulators (HOTIs) exhibit unique corner states protected by multipole chiral numbers (MCNs).
  • Experimental realization of 3D HOTIs with large MCNs has been challenging due to long-range hopping requirements.

Purpose of the Study:

  • To experimentally realize 3D Z-classified HOTIs with large MCNs.
  • To overcome limitations of conventional hopping requirements in 3D HOTI systems.
  • To explore the potential of orbital engineering for novel topological devices.

Main Methods:

  • Implementation of a synthetic orbital approach.
  • Utilizing a 3D Su-Schrieffer-Heeger model with degenerate p orbitals.
  • Incorporating orbital degrees of freedom into the HOTI design.

Main Results:

  • Successful experimental realization of 3D Z-classified HOTIs with large MCNs.
  • Demonstration of multidimensional wave control by engineering orbital degrees of freedom.
  • Circumvention of stringent long-range hopping limitations.

Conclusions:

  • The orbital-engineering paradigm offers a versatile platform for creating advanced topological devices.
  • This work paves the way for highly integrated acoustic devices and novel quantum-inspired technologies.
  • Enables new possibilities in multidimensional wave control and topological quantum matter research.