1996
DOI: 10.1103/physrevb.54.2225
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Theory of the scanning tunneling microscope: Xe on Ni and Al

Abstract: We present a theory for the scanning tunneling microscope ͑STM͒ current based on a Keldysh Green function formalism. In our formalism, we solve self-consistently an ab initio linear combination of atomic orbitals Hamiltonian within a local density formalism. Total energy calculations for xenon deposited on metal surfaces are performed to obtain the equilibrium position, and the Green functions needed to compute the current are obtained at the same time. Structural and nonstructural effects that can influence t… Show more

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Cited by 103 publications
(95 citation statements)
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“…From both physical 1 and chemical 2 points of view, computational techniques have emerged, capable of predicting stable atomic structures of systems in their ground state. Quantitative calculation of tunneling currents at nanoscale contacts is also evolving towards enhanced accuracy, by combining methods from quantum chemistry and solid state physics 3,4 . One important issue concerns the combination of the previous two, namely the effect of the tunneling currents on the stable structures of these atom sized systems.…”
Section: I-introductionmentioning
confidence: 99%
“…From both physical 1 and chemical 2 points of view, computational techniques have emerged, capable of predicting stable atomic structures of systems in their ground state. Quantitative calculation of tunneling currents at nanoscale contacts is also evolving towards enhanced accuracy, by combining methods from quantum chemistry and solid state physics 3,4 . One important issue concerns the combination of the previous two, namely the effect of the tunneling currents on the stable structures of these atom sized systems.…”
Section: I-introductionmentioning
confidence: 99%
“…A second alternative is to resort to local orbital MD-DFT methods, specially those devised with the aim of computational efficiency, that allow first-principles studies of much more complex systems. The formulation in terms of local orbitals has an added value, as the transport properties can be easily calculated from the resulting (tight-binding or LCAO) electronic hamiltonian using non-equilibrium Green's function techniques [14]. Thus, efficient local-orbital MD-DFT methods are probably the best available tools for a first-principles analysis of complex nanowires.…”
mentioning
confidence: 99%
“…Typically, we use the thinnest part of the nanowire to define the interface between these two subsystems. Then, the differential conductance [14] is given by:…”
mentioning
confidence: 99%
“…For bulk germanium, the pw method gives the lattice constant of 5.646 Å, bulk modulus of 70 GPa, and main energy gap of 0.52 eV. Simulations of STM images have been based on the non-equilibrium Green-function formalism [24][25][26], using density of states projected on separate orbitals (results of electronic structure calculation in framework of localorbital minimal-basis formalism). The tunneling current between the sample (denoted by S) and the tip (denoted by T) is given by…”
Section: Methods Of Calculationmentioning
confidence: 99%