Equivalence of Rashba-Hubbard and Hubbard chains
arXiv:1406.7293 · doi:10.1103/PhysRevB.90.195103
Abstract
We review the fact that U(1) gauge symmetry enables the mapping of one-dimensional Hubbard chains with Rashba-type spin orbit coupling to renormalized Hubbard Hamiltonians. The existence of the mapping has important consequences for the interpretation of ARPES experiments on one-dimensional chains subject to Rashba spin orbit coupling and can be exploited to check for the applicability of the mapping. We show numerical applications of the mapping and consider the implications for bosonization as well as for the Heisenberg-limit of the Hubbard model. In addition we point out the consequences for various generalized Hubbard models.
arXiv comment12 pages, 10 figures. v2 has more references and previous work. Submitted to PRB
References in corpus (34)
- Spin-Orbit Coupled Degenerate Fermi Gases
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Non-ballistic spin field-effect transistor
- Continuous Time Quantum Monte Carlo method for fermions
- An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
- Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Intrinsic magnetism at silicon surfaces
- Spectral function of the one-dimensional Hubbard model away from half filling
- Topological Fulde-Ferrel-Larkin-Ovchinnikov states in Spin-orbit Coupled Fermi Gases
- Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
- Deconfinement transition and Luttinger to Fermi Liquid crossover in quasi one-dimensional systems
- Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
- Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
- Identifying the maximum entropy method as a special limit of stochastic analytic continuation
- Evidence for Long-Range Spin Order Instead of a Peierls Transition in Si(553)-Au Chains
- Direct evidence of spin-split one-dimensional metallic surface state on Si(557)-Au
- Topological Fulde-Ferrell superfluid in spin-orbit coupled atomic Fermi gases
- Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
- Persistent Currents in Mesoscopic Hubbard Rings with Spin-Orbit Interaction
- Modulated Rashba interaction in a quantum wire: Spin and charge dynamics
- Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling
- Interaction-range effects for fermions in one dimension
- Temperature dependence of spectral functions for the one-dimensional Hubbard model: comparison with experiments
- Spin polarization in the Hubbard model with Rashba spin-orbit coupling on a ladder
- Spinon confinement: dynamics of weakly coupled Hubbard chains
- Crossover between Luttinger and Fermi liquid behavior in weakly coupled metallic chains
- Spin dynamics of cold fermions with synthetic spin-orbit coupling
- Direction Dependence of Spin Relaxation in Confined 2D Systems
- Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
- Dimensional-crossover-driven Mott transition in the frustrated Hubbard model
- The Two-Band Luttinger Liquid with Spin-Orbit Coupling: Applications to Monatomic Chains on Surfaces
- Spin-orbit coupled fermions in ladder-like optical lattices at half-filling
- Combined large spin-splitting and one dimensional confinement in surface alloys
Cited by in corpus (8)
- Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling
- Electrical spin manipulation in graphene nanostructures
- Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
- Pauli metallic ground-state in Hubbard clusters with Rashba spin-orbit coupling
- Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime
- Helical currents in metallic Rashba strips
- Electron-electron interactions in partially mixed helical states
- Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions