Spin-dependent transport in a Luttinger liquid

Details Spin-dependent transport in a Luttinger liquid Spin-dependent transport in a Luttinger liquid

2000-12-12

arxiv.org/abs/cond-mat/0012192v1

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 4 figures

Scientific paper

10.1103/PhysRevB.64.035310

We develop a detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange coupling between the magnetization of ferromagnetic reservoirs and the boundary magnetization in the wire. Spin-charge separation is shown to imply drastic and qualitative consequences for spin-dependent transport. In particular, the spin accumulation effect is quenched except for fine-tuned parameter regimes. We propose several feasible setups involving an external magnetic field to detect this phenomenon in transport experiments on single-wall carbon nanotubes. In addition, electron-electron backscattering processes, which do not have an important effect on thermodynamic properties or charge transport, are shown to modify spin-dependent transport through long quantum wires in a crucial way.

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