Spin-charge separation in transport through Luttinger liquid rings

Details Spin-charge separation in transport through Luttinger liquid rings Spin-charge separation in transport through Luttinger liquid rings

2008-03-14

arxiv.org/abs/0803.2133v2

Phys. Rev. B 77, 195122 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages including figures

Scientific paper

10.1103/PhysRevB.77.195122

We investigate how the different velocities characterizing the low-energy spectral properties and the low-temperature thermodynamics of one-dimensional correlated electron systems (Luttinger liquids) affect the transport properties of ring-like conductors. The Luttinger liquid ring is coupled to two noninteracting leads and pierced by a magnetic flux. We study the flux dependence of the linear conductance. It shows a dip structure which is governed by the interaction dependent velocities. Our work extends an earlier study which was restricted to rather specific choices of the interaction parameters. We show that for generic repulsive two-particle interactions the number of dips can be estimated from the ratio of the charge current velocity and the spin velocity. In addition, we clarify the range of validity of the central approximation underlying the earlier study.

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