Zeeman effect on resonant tunneling in spin-polarized Tomonaga-Luttinger liquid

We investigate spin-charge mixing effect on the resonant tunneling in a spin-polarized Tomonaga-Luttinger liquid, which arises from Fermi velocity differences between two spin species due to Zeeman effect. Zero bias conductance is calculated as a function of gate voltage Vg, gate magnetic field Bg, temperature and magnetic field applied to the system. Mixing effect is found to cause deformations of contour shapes of the conductance in (Vg,Bg) plane. At low temperatures, contour shapes are divided into three types; the conductance peaks (1) vanish, (2) form lattices, and (3) form lines. Each corresponds to the phase impurity potential become (1) irrelevant for two spins, (2) relevant for two spins, and (3) relevant for one selective spin.