Article (Scientific journals)
Spin-orbit coupling in quasi-one-dimensional Wigner crystals
Kornich, Viktoriia; Pedder, Christopher; Schmidt, Thomas
2017In Physical Review. B, Condensed Matter and Materials Physics, 95 (4), p. 045413
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Keywords :
Rashba spin-orbit coupling; Nanowires; Wigner crystal
Abstract :
[en] We study the effect of Rashba spin-orbit coupling (SOC) on the charge and spin degrees of freedom of a quasi-one-dimensional (quasi-1D) Wigner crystal. As electrons in a quasi-1D Wigner crystal can move in the transverse direction, SOC cannot be gauged away in contrast to the pure 1D case. We show that for weak SOC, a partial gap in the spectrum opens at certain ratios between density of electrons and the inverse Rashba length. We present how the low-energy branch of charge degrees of freedom deviates due to SOC from its usual linear dependence at small wave vectors. In the case of strong SOC, we show that spin sector of a Wigner crystal cannot be described by an isotropic antiferromagnetic Heisenberg Hamiltonian any more, and that instead the ground state of neighboring electrons is mostly a triplet state. We present a new spin sector Hamiltonian and discuss the spectrum of Wigner crystal in this limit.
Disciplines :
Physics
Author, co-author :
Kornich, Viktoriia;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit ; University of Wisconsin-Madison > Condensed Matter Physics
Pedder, Christopher ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Schmidt, Thomas ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
External co-authors :
no
Language :
English
Title :
Spin-orbit coupling in quasi-one-dimensional Wigner crystals
Publication date :
17 January 2017
Journal title :
Physical Review. B, Condensed Matter and Materials Physics
ISSN :
1550-235X
Publisher :
American Physical Society, New York, United States
Volume :
95
Issue :
4
Pages :
045413
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
Name of the research project :
ATTRACT 7556175
Funders :
FNR - Fonds National de la Recherche [LU]
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since 14 April 2017

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