Simulation of High-Resolution Scanning Tunnelling Microscopy and Spectroscopy: Present State of the Art and Comparison with Experiments

Dr Werner A Hofer

Surface Science Research Centre
The University of Liverpool
Liverpool L69 3BX

The aim of the talk is to give an overview over the current state of theoretical research in scanning tunnelling microscopy. I shall introduce the basic theoretical concept, which unifies existing models of scattering (Landauer-Buttiker approach) and perturbation (Bardeen approach) in a common framework based on non-equilibrium Green’s functions and discuss its limitations with respect to achievable currents and minimum distances [1,2].

The precision of the method is illustrated by recent simulations of oxygen covered ruthenium surfaces and detailed comparisons with experiment [3]. Interactions between STM tip and surface will be highlighted for close packed metal surfaces like gold, copper, or aluminium [4]; the method of inferring interaction energies and forces from the simulation of electron transitions, and the high elasticity of aluminum is shown to fully account for the observed giant corrugations.

The second half of the talk will be devoted to recently developed spectroscopic tools. We show that direct simulation of differential contributions to a spectrum leads to the correct behaviour also for demanding problems like the surface states on close packed noble metal surfaces [5]. It is pointed out that the resolution of the simulations accounts only for experimental data above 100K; for very low temperature experiments new interpolation schemes need to be developed for the bandstructure map. As a final example I shall talk about recent experiments and simulations on ferromagnetic surfaces, where the spin-state of a single atomic impurity can be measured and changed by STM tips.

References
[1] W.A. Hofer, A.S. Foster, and A. L. Shluger, Reviews of Modern Physics 75, 1287 (2003) [2] K. Palotas and W. A. Hofer, Multiple scattering in a vacuum barrier from real-space wavefunctions, JPCM (2005) submitted [3] F. Calleja, A. Arnau, J.J. Hinarejos, A.L. Vazquez de Parga, W. A. Hofer, P.M. Echenique; and R.Miranda, Physical Review Letters 92, 206101 (2004) [4] W. A. Hofer, A. Garcia-Lekue, and H. Brune, Chemical Physics Letters 397, 354 (2004) [5] W. A. Hofer and A. Garcia-Lekue, Physical Review B (2005), in press