Chiral currents in one-dimensional fractional quantum Hall states

Abstract

We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio, $\nu$, of particle density to magnetic flux shapes the phase-space, as in quantum Hall effects. In fermionic (bosonic) ladders, when $\nu$ equals one over an odd (even) integer, Laughlin fractional quantum Hall (FQH) states are stabilized for sufficiently long ranged repulsive interactions. As a signature of these fractional states, we find a unique dependence of the chiral currents on particle density and on magnetic flux. This dependence is characterized by the fractional filling factor $\nu$, and forms a stringent test for the realization of FQH states in ladders, using either numerical simulations or future ultracold-atom experiments. The two-leg model is equivalent to a single spinful chain with spin-orbit interactions and a Zeeman magnetic field, and results can thus be directly borrowed from one model to the other.

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Cited by in corpus (51)

• Topological Bands for Ultracold Atoms
• Topological quantum matter in synthetic dimensions
• Topological fractional pumping with alkaline-earth(-like) ultracold atoms
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
• Measuring Arbitrary Physical Properties in Analog Quantum Simulation
• Zero-Magnetic Field Fractional Quantum States
• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Universal Hall Response in Synthetic Dimensions
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• Pretopological fractional excitations in the two-leg flux ladder
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
• Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux
• Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
• Quasi-flat-band physics in a two-leg ladder model and its relation to magic-angle twisted bilayer graphene
• Snapshot based characterization of particle currents and the Hall response in synthetic flux lattices
• Devil's staircases in synthetic dimensions and gauge fields
• Measuring Chern numbers in Hofstadter strips
• Topological phases in odd-legs frustrated synthetic ladders
• Phase Diagram and Entanglement of two interacting topological Kitaev chains
• Probing the Hall Voltage in Synthetic Quantum Systems
• From Topological Superconductivity to Quantum Hall States in Coupled Wires
• Resonant dynamics of strongly interacting SU($n$) fermionic atoms in a synthetic flux ladder
• Cavity-induced spin-orbit coupling in an interacting bosonic wire
• Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
• Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
• Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional System
• Bosonic Double Ring Lattice Under Artificial Gauge Fields
• Topological chiral currents in the Gross-Neveu model extension
• Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
• Exploring helical phases of matter in bosonic ladders
• Emergent bosons in the fermionic two-leg flux ladder
• Symmetry-resolved entanglement of 2D symmetry-protected topological states
• Spin-gap spectroscopy in a bosonic flux ladder
• Quantum phases of two-component bosons on the Harper-Hofstadter ladder
• Coulomb-interaction-induced Majorana edge modes in nanowires
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Measuring topological entanglement entropy using Maxwell relations
• Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries