Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension

Abstract

The spin-incoherent regime of one-dimensional electrons has recently been explored using the Bethe ansatz and a bosonized path integral approach, revealing that the spin incoherence dramatically influences the correlations of charge excitations. We here introduce a bosonization scheme for strongly interacting electrons, allowing us to generalize the description to account for the presence of an open boundary. By calculating the single-electron Green's function we find that the charge sector power-law scaling is highly sensitive to the boundary. Our result allows for a detailed description of the crossover between boundary and bulk regimes. We predict that scanning tunneling microscopy on a spin-incoherent system will pick up oscillations in the differential tunneling conductance as a function of the applied voltage $V$ at "intermediate" distances $x$ from a real or a dynamically generated boundary. The wavelength of the oscillations, $\pi v_c/x$, probes the speed $v_c$ of the charge excitations, and therefore the strength of the electron-electron interaction.

REVTeX4 single column, 5 pages, 1 figure, final published version

References in corpus (6)

• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Theory of momentum resolved tunneling into a short quantum wire
• Transport in a spin incoherent Luttinger liquid
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires

Cited by in corpus (2)

• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Singular responses of spin-incoherent Luttinger liquids