The resonant state at filling factor ν = 1/2 in chiral fermionic ladders

Abstract

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 characterize the helical state which appears at filling $\nu =1/2$: 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.

5 Pages + Appendix, 6 Figures

References in corpus (12)

• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• A one-dimensional liquid of fermions with tunable spin
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Variational optimization algorithms for uniform matrix product states
• Quantum Hall system in Tao-Thouless limit
• Signatures of interaction-induced helical gaps in nanowire quantum point contacts
• One-Dimensional Theory of the Quantum Hall System
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Coupled Atomic Wires in a Synthetic Magnetic Field

Cited by in corpus (13)

• Coupled-wire constructions: a Luttinger liquid approach to topology
• Pretopological fractional excitations in the two-leg flux ladder
• Bose-Hubbard triangular ladder in an artificial gauge field
• Quantum Hall hierarchy from coupled wires
• Quasi-flat-band physics in a two-leg ladder model and its relation to magic-angle twisted bilayer graphene
• Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators
• Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
• Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice
• Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
• Exploring helical phases of matter in bosonic ladders
• Emergent bosons in the fermionic two-leg flux ladder
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Fractional topological insulator precursors in spin-orbit fermion ladders