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@ARTICLE{Wagner:863490,
      author       = {Wagner, Christian and Tautz, F Stefan},
      title        = {{T}he theory of scanning quantum dot microscopy},
      journal      = {Journal of physics / Condensed matter Condensed matter},
      volume       = {31},
      issn         = {1361-648X},
      address      = {Bristol},
      publisher    = {IOP Publ.80390},
      reportid     = {FZJ-2019-03544},
      pages        = {475901},
      year         = {2019},
      abstract     = {Electrostatic forces are among the most common interactions
                      in nature and omnipresent at the nanoscale. Scanning probe
                      methods represent a formidable approach to study these
                      interactions locally. The lateral resolution of such images
                      is, however, often limited as they are based on measuring
                      the force (gradient) due to the entire tip interacting with
                      the entire surface. Recently, we developed scanning quantum
                      dot microscopy (SQDM), a new technique for the imaging and
                      quantification of surface potentials which is based on the
                      gating of a nanometer-size tip-attached quantum dot by the
                      local surface potential and the detection of charge state
                      changes via non-contact atomic force microscopy. Here, we
                      present a rigorous formalism in the framework of which SQDM
                      can be understood and interpreted quantitatively. In
                      particular, we present a general theory of SQDM based on the
                      classical boundary value problem of electrostatics, which is
                      applicable to the full range of sample properties
                      (conductive vs insulating, nanostructured vs homogeneously
                      covered). We elaborate the general theory into a formalism
                      suited for the quantitative analysis of images of
                      nanostructured but predominantly flat and conductive
                      samples.},
      cin          = {PGI-3 / JARA-FIT},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-3-20110106 / $I:(DE-82)080009_20140620$},
      pnm          = {141 - Controlling Electron Charge-Based Phenomena
                      (POF3-141)},
      pid          = {G:(DE-HGF)POF3-141},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:31242473},
      UT           = {WOS:000484117400001},
      doi          = {10.1088/1361-648X/ab2d09},
      url          = {https://juser.fz-juelich.de/record/863490},
}