The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
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 synth...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aab8d4 |
| _version_ | 1797750792259633152 |
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| author | Andreas Haller Matteo Rizzi Michele Burrello |
| author_facet | Andreas Haller Matteo Rizzi Michele Burrello |
| author_sort | Andreas Haller |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:37:57Z |
| format | Article |
| id | doaj.art-e1b7db6e89f94e45b72252c7cb53b2f1 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:37:57Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e1b7db6e89f94e45b72252c7cb53b2f12023-08-08T14:48:49ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120505300710.1088/1367-2630/aab8d4The resonant state at filling factor ν = 1/2 in chiral fermionic laddersAndreas Haller0Matteo Rizzi1Michele Burrello2https://orcid.org/0000-0002-8730-7085Johannes-Gutenberg-Universität Mainz , Institut für Physik, Staudingerweg 7, D-55099, Mainz, GermanyJohannes-Gutenberg-Universität Mainz , Institut für Physik, Staudingerweg 7, D-55099, Mainz, GermanyNiels Bohr International Academy and Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen , Juliane Maries Vej 30, DK-2100, Copenhagen, DenmarkHelical 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.https://doi.org/10.1088/1367-2630/aab8d4cold atomsnanowirestopological insulatorsfractional quantum Hall statesspin–orbit coupling |
| spellingShingle | Andreas Haller Matteo Rizzi Michele Burrello The resonant state at filling factor ν = 1/2 in chiral fermionic ladders New Journal of Physics cold atoms nanowires topological insulators fractional quantum Hall states spin–orbit coupling |
| title | The resonant state at filling factor ν = 1/2 in chiral fermionic ladders |
| title_full | The resonant state at filling factor ν = 1/2 in chiral fermionic ladders |
| title_fullStr | The resonant state at filling factor ν = 1/2 in chiral fermionic ladders |
| title_full_unstemmed | The resonant state at filling factor ν = 1/2 in chiral fermionic ladders |
| title_short | The resonant state at filling factor ν = 1/2 in chiral fermionic ladders |
| title_sort | resonant state at filling factor ν 1 2 in chiral fermionic ladders |
| topic | cold atoms nanowires topological insulators fractional quantum Hall states spin–orbit coupling |
| url | https://doi.org/10.1088/1367-2630/aab8d4 |
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