Volume 113, Number 3, February 2016
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||24 February 2016|
Charge and spin density in the helical Luttinger liquid
1 Institute for Theoretical Physics and Astrophysics, University of Würzburg - 97074 Würzburg, Germany
2 Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, Sorbonne Universités 4 place Jussieu, 75252 Paris Cedex 05, France
3 Department of Physics, University of California - Berkeley, CA 94720, USA
Received: 10 November 2015
Accepted: 11 February 2016
The weakly interacting helical Luttinger liquid, due to spin momentum locking, is characterized by extremely peculiar local observables: we show that the density-density correlation functions do not exhibit signatures of Friedel and Wigner oscillations, and that spin-spin correlation functions, which are strongly anisotropic, witness the formation of a planar spin wave. Moreover, we demonstrate that the most relevant scattering potentials involving a localized impurity are not able to modify the electron density, while only magnetic impurities can pin the planar spin density wave.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 73.20.Qt – Electron solids
© EPLA, 2016
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