Hall response in interacting bosonic and fermionic ladders
arXiv:2404.16973 · doi:10.1103/PhysRevLett.134.056501
Abstract
We use bosonization, retaining band curvature terms, to analyze the Hall response of interacting bosonic and fermionic two-leg ladders threaded by a flux. We derive an explicit expression of the Hall imbalance in a perturbative expansion in the band curvature, retaining fully the interactions. We show that the flux dependence of the Hall imbalance allows to distinguish the two phases (Meissner and Vortex) that are present for a bosonic ladder. For small magnetic field we relate the Hall resistance, both for bosonic and fermionic ladders, to the density dependence of the charge sitffness of the system in absence of flux. Our expression unveil a universal interaction-independent behavior in the Galilean invariant case.
7 pages, 1 figure, supplemental material (v2) Corrected the formatting of the bibliography
References in corpus (50)
- Berry Phase Effects on Electronic Properties
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- A one-dimensional liquid of fermions with tunable spin
- Graphene nanoribbons for quantum electronics
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Thouless pumping and topology
- Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
- Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
- Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Dynamical structure factor at small q for the XXZ spin-1/2 chain
- Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
- Direct observation of incommensurate magnetism in Hubbard chains
- Tomonaga-Luttinger parameters for doped Mott insulators
- Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Quantum electrodynamics of a superconductor-insulator phase transition
- Insulating Josephson-junction chains as pinned Luttinger liquids
- Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
- Simulating Chern insulators on a superconducting quantum processor
- The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
- Observation of Universal Hall Response in Strongly Interacting Fermions
- Vortex lattice melting in a boson-ladder in artificial gauge field
- 1D Bose Gases in an Optical Lattice
- The Hall Number of Strongly Correlated Metals
- Fractional charge excitations in fermionic ladders
- Spin-charge coupling in quantum wires at zero magnetic field
- Universal Hall Response in Synthetic Dimensions
- Imaging topology of Hofstadter ribbons
- Universality of the one dimensional Bose gas with delta interaction
- Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
- Synthetic gauge field and chiral physics on two-leg superconducting circuits
- Probing the Hall Voltage in Synthetic Quantum Systems
- Hall effect in strongly correlated low dimensional systems
- Superconductor-insulator transition in Josephson junction chains by quantum Monte-Carlo
- Effective mass of elementary excitations in Galilean-invariant integrable models
- Synthetic Hall ladder with tunable magnetic flux
- Electronic structure and signature of Tomonaga-Luttinger liquid state in epitaxial CoSb nanoribbons
- Theory of coherent phase modes in insulating Josephson junction arrays
- Equilibration of a one-dimensional quantum liquid
- Quantum phases of hardcore bosons in two coupled chains: A density matrix renormalization group study
Cited by in corpus (6)
- Realization of strongly-interacting Meissner phases in large bosonic flux ladders
- Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
- Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
- Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
- Dynamics of interacting bosons in a two-leg ring ladder with artificial magnetic flux and ac-driven modulations
- Dissipative Generation of Currents by Nonreciprocal Local and Global Environments