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

Abstract

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.

10 pages, RevTeX file, 3 figures available on request from [email protected]

References in corpus (2)

• Tunneling in One-Dimensional non-Luttinger Electron Liquid
• Electron--Electron Scattering in Quantum Wires and it's Possible Suppression due to Spin Effects

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