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Alexander Liebig

Publications and source records attributed to Alexander Liebig.

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Tracing Dirac points of topological surface states by ferromagnetic resonance

Ferromagnetic resonance is used to reveal features of the buried electronic band structure at interfaces between ferromagnetic metals and topological insulators. By monitoring the evolution of magnetic damping, the application of this method to a hybrid structure consisting of a ferromagnetic layer and a 3D topological insulator reveals a clear fingerprint of the Dirac point and exhibits additional features of the interfacial band structure not otherwise observable. The underlying spin-pumping mechanism is discussed in the framework of dissipation of angular momentum by topological surface states (TSSs). Tuning of the Fermi level within the TSS was verified both by varying the stoichiometry of the topological insulator layer and by electrostatic backgating and the damping values obtained in both cases show a remarkable agreement. The high energy resolution of this method additionally allows us to resolve the energetic shift of the local Dirac points generated by local variations of the electrostatic potential. Calculations based on the chiral tunneling process naturally occurring in TSS agree well with the experimental results.

cond-mat.mes-hall

Designer magnetic topological graphene nanoribbons

The interplay of magnetism and topology lies at the heart of condensed matter physics, which offers great opportunities to design intrinsic magnetic topological materials hosting a variety of exotic topological quantum states including the quantum anomalous Hall effect (QAHE), axion insulator state, and Majorana bound states. Extending this concept to one-dimension (1D) systems offers additional rich quantum spin physics with great promise for molecular-scale spintronics. Despite recent progress in the discovery of symmetry-protected topological quantum phases in 1D graphene nanoribbons (GNRs), the rational design and realization of magnetic topological GNRs (MT-GNRs) represents a grand challenge, as one must tackle multiple dimensions of complexity including time-reversal symmetry (TRS), spatial symmetry (width, edge, end geometry) and many-electron correlations. Here, we devised a new route involving the real- and reciprocal-space descriptions by unifying the chemists and physicists perspectives, for the design of such MT-GNRs with non-trivial electronic topology and robust magnetic terminal. Classic Clar's rule offers a conceptually qualitative real-space picture to predict the transition from closed-shell to open-shell with terminal magnetism, and band gap reopening with possible non-trivial electronic topology in a series of wave-like GNRs, which are further verified by first principle calculations of band-structure topology in a momentum-space. With the advance of on-surface synthesis and careful design of molecular precursors, we have fabricated these MT-GNRs with observation of topological edge bands, whose terminal pi-magnetism can be directly captured using a single-nickelocene spin sensor. Moreover, the transition from strong anti-ferromagnetic to weak coupling (paramagnetism-like) between terminal spins can be controlled by tuning the length of MT-GNRs.

cond-mat.mes-hall

Dynamic friction unraveled using an atomically defined model system

The pervasive phenomenon of friction has been studied at the nanoscale by controlled manipulation of single atoms and molecules, which permitted a precise determination of the static friction force necessary to initiate motion. However, much less is known about the atomistic dynamics during manipulation. Here we reveal the complete manipulation process of a carbon monoxide molecule on a copper surface at low temperatures using a combination of atomic force microscopy, vibrational spectroscopy for different isotope molecules and density functional theory. We measured the energy dissipation associated with manipulation and relate its origin to hysteresis involving an intermediate state, which enables an atomistic interpretation of dynamic friction. Our results show how friction forces can be controlled and optimized, facilitating new fundamental insights for tribology.

cond-mat.mes-hall

Evidence for temporary and local transition of sp2 graphite-type to sp3 diamond-type bonding induced by the tip of an atomic force microscope

Artificial diamond is created by exposing graphite to pressures on the order of 10\,GPa and temperatures of about 2000\,K. Here, we provide evidence that the pressure exerted by the tip of an atomic force microscope onto graphene over the carbon buffer layer of silicon carbide can lead to a temporary transition of graphite to diamond on the atomic scale. We perform atomic force microscopy with CO terminated tips and copper oxide (CuOx) tips to image graphene and to induce the structural transition. For a local transition, DFT predicts that a repulsive barrier of $\approx13$\,nN, followed by a force reduction by $\approx4$\,nN is overcome when inducing the graphite-diamond transition. Experimental evidence for this transition is provided by the observation of third harmonics in the cantilever oscillation for relative flexible CO terminated tips and a kink in the force versus distance curve for rigid CuOx tips. The experimental observation of the third harmonic with a magnitude of about 200\,fm fits to a force with an amplitude of $\pm 3$\,nN. The large repulsive overall force of $\approx 10$\,nN is only compatible with the experiment if one assumes that the repulsive force acting on the tip when inducing the transition is compensated by an increased van-der-Waals attraction of the tip due to form fitting of tip and sample by local indentation. The transition changes flat sp$^2$ bonds to corrugated sp$^3$ bonds, resulting in a different height of the two basis atoms in the elementary cell of graphene. Both tip types show a strong asysmmetry between the two basis atoms of the lattice when using large repulsive tip forces that induce the transition. Experimental data of tunneling current, frequency shift and dissipation are consistent with the proposed transition. The experiment also shows that atomic force microscopy allows to perform high pressure physics on the atomic scale.

cond-mat.mtrl-sci