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Authors: Haller, Andreas
Rizzi, Matteo
Burrello, Michele
Title: The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
Online publication date: 18-Jun-2018
Year of first publication: 2018
Language: english
Abstract: Helical liquids have been experimentally realized in both nanowires and ultracold atomic chains as the result of strong spin–orbit interactions. In both cases the inner degrees of freedom can be considered as an additional space dimension, providing an interpretation of these systems as chiral synthetic ladders, with artificial magnetic fluxes determined by the spin–orbit terms. In this work, we characterize the helical state which appears at filling ν = 1/2: this state is generated by a gap arising in the spin sector of the corresponding Luttinger liquid and it can be interpreted as the one-dimensional (1D) limit of a fractional quantum Hall state of bosonic pairs of fermions. We study its main features, focusing on entanglement properties and correlation functions. The techniques developed here provide a key example for the study of similar quasi-1D systems beyond the semiclassical approximation commonly adopted in the description of the Laughlin-like states.
DDC: 530 Physik
530 Physics
Institution: Johannes Gutenberg-Universität Mainz
Department: FB 08 Physik, Mathematik u. Informatik
Place: Mainz
Version: Published version
Publication type: Zeitschriftenaufsatz
License: CC BY
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Journal: New journal of physics
Pages or article number: Art. 053007
Publisher: IOP
Publisher place: London
Issue date: 2018
ISSN: 1367-2630
Publisher URL:
Publisher DOI: 10.1088/1367-2630/aab8d4
Appears in collections:JGU-Publikationen

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