Regensburg 2016 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 59: Low-Dimensional Systems: Poster Session
TT 59.2: Poster
Mittwoch, 9. März 2016, 15:00–18:30, Poster D
Charge and spin density in the helical Luttinger liquid — Niccolò Traverso Ziani1, •Christoph Fleckenstein1, Francois Crépin2, and Björn Trauzettel3 — 1Institute for Theoretical Physics and Astrophysics, University of Würzburg, 97074 Würzburg, Germany — 2Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, Sorbonne Universités, 4 place Jussieu, 75252 Paris Cedex 05, France — 3Department of Physics, University of California, Berkeley, California 94720, USA
Two-dimensional topological insulators represent a recently descovered phase of matter, characterized by an insulating two-dimensional bulk and metallic one dimensional edge states. These edge states are characterized by spin-momentum locking: particles with opposite spin move in opposite direction. When electron-electron interactions are taken into account, the one-dimensional edge states are conveniently described by the so called helical Luttinger liquid. Within the framework of the helical Luttinger liquid we theoretically show that, due to the absence of Friedel and Wigner parts in the density operator, density-density correlation functions do not exhibit 2kF and 4kF oscillations, while spin-spin correlations show anisotropic planar wave structure, which is enhanced by electron-electron interactions. Moreover, we demonstrate that the most relevant, in the renormalization group sense, impurity potentials, are not able to modify the average local electron density. Finally we show that only magnetic impurities can pin the planar spin density wave.