articleScienceMar 5, 2026Closed access

A molecule with half-Möbius topology

IRIgor RončevićFPFabian PaschkeYGYueze GaoLLLeonard-Alexander LieskeLALene A. Gödde

University of Manchester · University of Oxford · +4 more institutions

PubMed
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Abstract

Exhibiting helical orbitals around a ring of carbon atoms were synthesized by atom manipulation on NaCl surfaces. We resolved the enantiomeric geometries of the singlet states by atomic force microscopy and mapped their helical orbital densities by scanning tunneling microscopy. A π-orbital basis of the helical, nonplanar singlets that twists by 90° in one circulation is consistent with a half-Möbius topology. In such a topology, the π-orbital basis changes sign with respect to two circumnavigations and is periodic with respect to four circumnavigations. A quasiparticle on a ring with this boundary condition could be interpreted as carrying a Berry phase of π/2. We demonstrate reversible switching of the…

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Authors

13
  • IR
    Igor RončevićCorresponding

    University of Manchester, University of Oxford

  • FP
    Fabian PaschkeCorresponding

    IBM Research - Zurich

  • YG
    Yueze Gao

    University of Oxford

  • LL
    Leonard-Alexander Lieske

    IBM Research - Zurich

  • LA
    Lene A. Gödde

    University of Oxford

Topics & keywords

Keywords
  • Ring (chemistry)
  • Atomic orbital
  • Geometric phase
  • Ab initio
  • Molecule
  • Singlet state
  • Molecular orbital
  • Atom (system on chip)
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