References of "Rachel, Stephan"
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See detailUnconventional superconductivity in the extended Hubbard model: Weak-coupling renormalization group
Wolf, Sebastian; Schmidt, Thomas UL; Rachel, Stephan

in Physical Review. B, Condensed Matter and Materials Physics (2018)

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See detailGeneric Helical Liquids: Theory & Applications
Rod, Alexia UL; Dolcetto, Giacomo UL; Rachel, Stephan et al

Poster (2016, August 23)

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See detailTransport through a quantum spin Hall antidot as a spectroscopic probe of spin textures
Rod, Alexia UL; Dolcetto, Giacomo UL; Rachel, Stephan et al

in Physical Review B (2016), 94

We investigate electron transport through an antidot embedded in a narrow strip of two-dimensional topological insulator. We focus on the most generic and experimentally relevant case with broken axial ... [more ▼]

We investigate electron transport through an antidot embedded in a narrow strip of two-dimensional topological insulator. We focus on the most generic and experimentally relevant case with broken axial spin symmetry. Spin-non-conservation allows additional scattering processes which change the transport properties profoundly. We start from an analytical model for noninteracting transport, which we also compare with a numerical tight-binding simulation. We then extend this model by including Coulomb repulsion on the antidot, and we study the transport in the Coulomb-blockade limit. We investigate sequential tunneling and cotunneling regimes, and we find that the current-voltage characteristic allows a spectroscopic measurement of the edge-state spin textures. [less ▲]

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See detailProbing the spin texture of generic helical edge states with an antidot
Rod, Alexia UL; Dolcetto, Giacomo UL; Rachel, Stephan et al

Scientific Conference (2016, March 07)

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See detailSpin texture of generic helical edge states
Rod, Alexia UL; Schmidt, Thomas UL; Rachel, Stephan

in Physical Review B (2015), 91

We study the spin texture of a generic helical liquid, the edge modes of a two-dimensional topological insulator with broken axial spin symmetry. By considering honeycomb and square-lattice realizations ... [more ▼]

We study the spin texture of a generic helical liquid, the edge modes of a two-dimensional topological insulator with broken axial spin symmetry. By considering honeycomb and square-lattice realizations of topological insulators, we show that in all cases the generic behavior of a momentum-dependent rotation of the spin quantization axis is realized. Here we establish this mechanism also for disk geometries with continuous rotational symmetry. Finally, we demonstrate that the rotation of spin-quantization axis remains intact for arbitrary geometries, i.e., in the absence of any continuous symmetry. We also calculate the dependence of this rotation on the model and material parameters. Finally, we propose a spectroscopy measurement which should directly reveal the rotation of the spin-quantization axis of the helical edge states. [less ▲]

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See detailInelastic Electron Backscattering in a Generic Helical Edge Channel
Schmidt, Thomas UL; Rachel, Stephan; von Oppen, Felix et al

in Phys. Rev. Lett. (2012), 108

We evaluate the low-temperature conductance of a weakly interacting one-dimensional helical liquid without axial spin symmetry. The lack of that symmetry allows for inelastic backscattering of a single ... [more ▼]

We evaluate the low-temperature conductance of a weakly interacting one-dimensional helical liquid without axial spin symmetry. The lack of that symmetry allows for inelastic backscattering of a single electron, accompanied by forward scattering of another. This joint effect of weak interactions and potential scattering off impurities results in a temperature-dependent deviation from the quantized conductance, $ G T^4$. In addition, $ G$ is sensitive to the position of the Fermi level. We determine numerically the parameters entering our generic model for the Bernevig-Hughes-Zhang Hamiltonian of a HgTe/CdTe quantum well in the presence of Rashba spin-orbit coupling. [less ▲]

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