Transport in a spin polarized Luttinger liquid in the presence of a single impurity

Abstract

The conductance for a single impurity in a one dimensional gas with electron-electron interaction and Zeeman splitting $v_F^{\uparrow }-v_F^{\downarrow }=\Delta \ne 0$ is considered. We find that for an extented Hubbard model, ${\rho }_{\uparrow }^R{\rho }_{\uparrow }^L+{\rho }_{\downarrow }^R{\rho }_{\downarrow }^L$, a Luttinger liquid for spin up and spin down is obtained. As a result the conductances for spin up $G_{\uparrow }$ and spin down $G_{\downarrow }$ are not equal. The anisotropy in the conductances $G_{\uparrow }\ne G_{\downarrow }$ gives rise to a spin polarized wire.

10 pages, 6 figures, accepted for publication by Physics Letters A