Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 36: Correlated Electrons: 1D Theory
TT 36.5: Vortrag
Dienstag, 13. März 2018, 10:30–10:45, HFT-FT 101
The resonant state at filling factor 1/2 in chiral fermionic ladders — •Andreas Haller1, Matteo Rizzi1, and Michele Burrello2 — 1Institute of Physics, Johannes Gutenberg University, 55099 Mainz, Germany — 2Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark
Helical liquids have been experimentally detected 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 synthetic ladders, with artificial magnetic fluxes determined by the spin-orbit terms. In this work, we analyze such a quasi-one-dimensional ladder geometry and characterize the helical state which appears at filling factor 1/2. This state is generated by a gap arising in the spin sector of the corresponding Luttinger liquid and 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 and support our analytic results with matrix product state simulations.