skip to main content
Show Results with:

Design and characterization of electrons in a fractal geometry

Nature Physics, Feb 2019, Vol.15(2), pp.127-131 [Peer Reviewed Journal]

No full-text

  • Title:
    Design and characterization of electrons in a fractal geometry
  • Author: Kempkes, S ; Slot, M ; Freeney, S ; Zevenhuizen, S ; Vanmaekelbergh, D ; Swart, I
  • Found In: Nature Physics, Feb 2019, Vol.15(2), pp.127-131 [Peer Reviewed Journal]
  • Subjects: Scale Invariance ; Quantum Hall Effect ; Fractal Geometry ; Atomic Force Microscopy ; Tunneling ; Magnetic Fields ; Fractals ; Electrons ; Quantum Dots ; Microscopy ; Quantum Theory ; Fractals ; Self-Similarity ; Wave Functions
  • Language: English
  • Description: The dimensionality of an electronic quantum system is decisive for its properties. In one dimension, electrons form a Luttinger liquid, and in two dimensions, they exhibit the quantum Hall effect. However, very little is known about the behaviour of electrons in non-integer, or fractional dimensions1. Here, we show how arrays of artificial atoms can be defined by controlled positioning of CO molecules on a Cu (111) surface2–4, and how these sites couple to form electronic Sierpiński fractals. We characterize the electron wavefunctions at different energies with scanning tunnelling microscopy and spectroscopy, and show that they inherit the fractional dimension. Wavefunctions delocalized over the Sierpiński structure decompose into self-similar parts at higher energy, and this scale invariance can also be retrieved in reciprocal space. Our results show that electronic quantum fractals can be artificially created by atomic manipulation in a scanning tunnelling microscope. The same methodology...
  • Identifier: ISSN: 17452473 ; E-ISSN: 17452481 ; DOI: 10.1038/s41567-018-0328-0

Searching Remote Databases, Please Wait