Generation of spin-polarized currents in Zeeman-split Tomonaga-Luttinger models

Details Generation of spin-polarized currents in Zeeman-split Tomonaga-Luttinger models Generation of spin-polarized currents in Zeeman-split Tomonaga-Luttinger models

1995-10-21

arxiv.org/abs/cond-mat/9510125v1

Physics

Condensed Matter

10 pages, RevTeX file, 3 figures available on request from jin@izanagi.phys.s.u-tokyo.ac.jp

Scientific paper

10.1103/PhysRevB.53.9572

In a magnetic field an interacting electron gas in one dimension may be described as a Tomonaga-Luttinger model comprising two components with different Fermi velocities due to the Zeeman splitting. This destroys the spin-charge separation, and even the quantities such as the density-density correlation involve spin and charge critical exponents (K). Specifically, the ratio of the up-spin and down-spin conductivities in a dirty system diverges at low temperatures like an inverse power of the temperature, $T^{-(K_{\uparrow}-K_{\downarrow})}$, resulting in a spin-polarized current. In finite, clean systems the conductance becomes different for up- and down-spins as another manifestation of the electron-electron interaction.

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