Abstract
Scanning tunneling spectroscopy (STS) is able to image a single molecule decoupled from its supporting substrate. The obtained images are routinely interpreted as the square moduli of molecular orbitals, dressed by the mean-field electron–electron interactions. Here, we demonstrate that the effect of electron correlation beyond the mean field qualitatively alters the uncorrelated STS images. After developing the proper many-body theoretical framework, we present the coupled-cluster calculation of the STS images of a planar molecule with a metal center, copper-(deh-salen). We find that many-body correlations alter significantly the image spectral weight close to the copper ion. This change is large enough to be assessed experimentally and survives to molecule–substrate interactions.
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References
Wiesendager, R.: Scanning probe microscopy and spectroscopy. Cambridge University Press, Cambridge (1994)
Venema L.C., Wildöer J.W.G., Janssen J.W., Tans S.J., Temminck Tuinstra H.L.J., Kouwenhoven L. P., Dekker, C.: Imaging electron wave functions of quantized energy levels in carbon nanotubes. Science 283, 52–55 (1999). doi:10.1126/science.283.5398.52
Repp, J., Meyer, G., Stojkovic, S.M., Gourdon, A., Joachim, C.: Molecules on insulating films: Scanning-tunneling microscopy imaging of individual molecular orbitals. Phys. Rev. Lett. 94, 026803 (2005). doi:10.1103/PhysRevLett.94.026803
Rontani, M., Molinari, E.: Imaging quasiparticle wave functions in quantum dots via tunneling spectroscopy. Phys. Rev. B 71, 233106 (2005). doi:10.1103/PhysRevB.71.233106
Maruccio, G., Janson, M., Schramm, A., Meyer, C., Matsui, T., Heyn, C., Hansen, W., Wiesendanger, R., Rontani, M., Molinari, E.: Correlation effects in wave function mapping of molecular beam epitaxy grown quantum dots. Nano Lett. 7, 2701–2706 (2007). doi:10.1021/nl071133m
Bester, G., Reuter, D., He, L., Zunger, A., Kailuweit, P., Wieck, A.D., Zeitler, U., Maan, J.C., Wibbelhoff, O., Lorke, A.: Experimental imaging and atomistic modeling of electron and hole quasiparticle wave functions in InAs/GaAs quantum dots. Phys. Rev. B 76, 075338 (2007). doi:10.1103/PhysRevB.76.075338
Toroz, D., Rontani, M., Corni, S.: Visualizing electron correlation by means of ab initio scanning tunneling spectroscopy images of single molecules. J. Chem. Phys. 134, 024104 (2011). doi:10.1063/1.3520567
Secchi A., Rontani M.: Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization. Phys. Rev. B 85, 121410(R) (2012). doi:10.1103/PhysRevB.85.121410
Helgaker, T., Jørgensen, P., Olsen, J.: Molecular electronic structure theory. Wiley, Chichester (2000)
Park, J., Pasupathy, A.N., Goldsmith, J.I., Chang, C., Yaish, Y., Petta, J.R., Rinkoski, M., Sethna, J.P., Abruña, H.D., McEuen, P.L., Ralph, D.C.: Coulomb blockade and the Kondo effect in single atom transistors. Nature 417, 722–725 (2002). doi:10.1038/nature00791
Liang, W., Shores, M.P., Bockrath, M., Long, J.R., Park, H.: Kondo resonance in a single-molecule transistor. Nature 417, 725–729 (2002). doi:10.1038/nature00790
Neaton, J.B., Hybertsen, M.S., Louie, S.G.: Renormalization of molecular electronic levels at metal-molecule interfaces. Phys. Rev. Lett. 97, 216405 (2006). doi:10.1103/PhysRevLett.97.216405
Thygesen, K.S., Rubio, A.: Renormalization of molecular quasiparticle levels at metal-molecule interfaces: Trends across binding regimes. Phys. Rev. Lett. 102, 046802 (2009). doi:10.1103/PhysRevLett.102.046802
Freysoldt, C., Rinke, P., Scheffler, M.: Controlling polarization at insulating surfaces: Quasiparticle calculations for molecules adsorbed on insulator films. Phys. Rev. Lett. 103, 056803 (2009). doi:10.1103/PhysRevLett.103.056803
Soe, W.-H., Manzano, C., De Sarkar, A., Chandrasekhar, N., Joachim, C.: Direct observation of molecular orbitals of pentacene physisorbed on Au(111) by scanning tunneling microscope. Phys. Rev. Lett. 102, 176102 (2009). doi:10.1103/PhysRevLett.102.176102
Toroz, D., Rontani, M., Corni, S.: Proposed alteration of images of molecular orbitals obtained using a scanning tunneling microscope as a probe of electron correlation. Phys. Rev. Lett. 110, 018305 (2013). doi:10.1103/PhysRevLett.110.018305
Tersoff, J., Hamman, D.R.: Theory of the scanning tunneling microscope. Phys. Rev. B 31, 805–813 (1985). doi:10.1103/PhysRevB.31.805
Rontani, M.: Friedel sum rule for an interacting multiorbital quantum dot. Phys. Rev. Lett. 97, 076801 (2006). doi:10.1103/PhysRevLett.97.076801
Rontani, M.: Exchange and correlation effects in the transmission phase through a few-electron quantum dot. Phys. Rev. B 82, 045310 (2010). doi:10.1103/PhysRevB.82.045310
Frisch M.J. et al.: Gaussian 09, Revision B.01. Gaussian Inc., Wallingford CT (2010)
Suresh, E., Bhadbhade, M.M., Srinivas, D.: Molecular association, chelate conformation and reactivity correlations in substituted o-phenylenebis(salicylidenato)copper(//) complexes: UV-visible, EPR, and X-ray structural investigations. Polyhedron 15, 4133–4144 (1996). doi:10.1016/0277-5387(96)00178-7
Acknowledgments
Funding from INFM under the Young Researcher Seed Project 2008 initiative and Fondazione Cassa di Risparmio di Modena under the project COLDandFEW is gratefully acknowledged. Computer time has been provided by CINECA under the CINECA-ISCRA supercomputer project grants IscrB_FERMIFEW, IscrC_FEW1D, and IscrC_QUASIPAR.
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Rontani, M., Toroz, D., Corni, S. (2013). Visualizing Electron Correlation in Molecules Using a Scanning Tunneling Microscope: Theory and Ab Initio Prediction. In: Grill, L., Joachim, C. (eds) Imaging and Manipulating Molecular Orbitals. Advances in Atom and Single Molecule Machines. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38809-5_13
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DOI: https://doi.org/10.1007/978-3-642-38809-5_13
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