Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid

TL;DR

This paper studies how spin-charge mixing due to velocity differences affects resonant tunneling in a spin-polarized Luttinger liquid with impurities, revealing observable conductance pattern rotations and different low-temperature behaviors.

Contribution

It introduces the analysis of spin-charge mixing effects on resonant tunneling in a polarized Luttinger liquid, highlighting the impact on conductance patterns and low-temperature regimes.

Findings

Mixing causes rotation of conductance peak patterns in the (V_g, B_g) plane.

Low-temperature conductance contours fall into three types: perfect reflection, perfect transmission, and spin-filtering.

The effective barrier potential is renormalized differently depending on the regime.

Abstract

We investigate spin-charge mixing effect on resonant tunneling in spin-polarized Tomonaga-Luttinger liquid with double impurities. The mixing arises from Fermi velocity difference between two spin species due to Zeeman effect. Zero bias conductance is calculated as a function of gate voltage $V_{\rm g}$, gate magnetic field $B_{\rm g}$, temperature and magnetic field applied to the system. Mixing effect is shown to cause rotation of the lattice pattern of the conductance peaks in $(V_{\rm g},B_{\rm g})$ plane, which can be observed in experiments. At low temperatures, the contour shapes are classified into three types, reflecting the fact that effective barrier potential is renormalized towards ``perfect reflection'', ``perfect transmission'' and magnetic field induced ``spin-filtering'', respectively.