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

Paata Kakashvili·Henrik Johannesson
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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, $πv_c/x$, probes the speed $v_c$ of the charge excitations, and therefore the strength of the electron-electron interaction.

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Paata Kakashvili, Henrik Johannesson. 2007-10-23. Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension. https://doi.org/10.1103/physrevb.76.085128

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