Spin polarised scanning tunneling probe for helical Luttinger liquids

Details Spin polarised scanning tunneling probe for helical Luttinger liquids Spin polarised scanning tunneling probe for helical Luttinger liquids

2010-06-11

arxiv.org/abs/1006.2239v2

Phys. Rev. Lett. 106, 236403 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Final version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.106.236403

We propose a three terminal spin polarized stm setup for probing the helical nature of the Luttinger liquid edge state that appears in the quantum spin Hall system. We show that the three-terminal tunneling conductance strongly depends on the angle ($\theta$) between the magnetization direction of the tip and the local orientation of the electron spin on the edge while the two terminal conductance is independent of this angle. We demonstrate that chiral injection of an electron into the helical Luttinger liquid (which occurs when $\theta$ is zero or $\pi$) is associated with fractionalization of the spin of the injected electron in addition to the fractionalization of its charge. We also point out a spin current amplification effect induced by the spin fractionalization.

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