Giant Magnetoresistance in Hubbard Chains

Abstract

We use numerically unbiased methods to show that the one-dimensional Hubbard model with periodically distributed on-site interactions already contains the minimal ingredients to display the phenomenon of magnetoresistance; i.e., by applying an external magnetic field, a dramatic enhancement on the charge transport is achieved. We reach this conclusion based on the computation of the Drude weight and of the single-particle density of states, applying twisted boundary condition averaging to reduce finite-size effects. The known picture that describes the giant magnetoresistance, by interpreting the scattering amplitudes of parallel or antiparallel polarized currents with local magnetizations, is obtained without having to resort to different entities; itinerant and localized charges are indistinguishable.

arXiv comment6+4 pages 5+5 figures, as published

References in corpus (20)

• Spintronics: Fundamentals and applications
• Correlated Electrons in High Temperature Superconductors
• Bad metallic transport in a cold atom Fermi-Hubbard system
• Nanometer-scale spatial modulation of an inter-atomic interaction in a Bose-Einstein condensate
• Controlling a magnetic Feshbach resonance with laser light
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Quantum dynamics with spatiotemporal control of interactions in a stable Bose-Einstein condensate
• Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
• Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
• Kaleidoscope of exotic quantum phases in a frustrated XY model
• Disorder-Induced Stabilization of the Pseudogap in Strongly Correlated Systems
• Control of the finite size corrections in exact diagonalization studies
• Optical control of Feshbach resonances in Fermi gases using molecular dark states
• Two-field optical methods to control magnetic Feshbach resonances
• Designer Spatial Control of Interactions in Ultracold Gases
• Optical Control of the Scattering Length and Effective Range for Magnetically Tunable Feshbach Resonances in Ultracold Gases
• Metal-Insulator transition in one-dimensional Hubbard superlattices
• Multiperiodic magnetic structures in Hubbard superlattices
• Charge-density waves in one-dimensional Hubbard superlattices
• Size and shape of Mott regions for fermionic atoms in a two-dimensional optical lattice

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• Development of long-range phase coherence on the Kondo lattice
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion
• Magnetoresistivity in the Antiferromagnetic Hubbard Model