Bound state energy of finger gate and top gate with consideration of Rashba-Dresselhaus-Zeeman effects

Highlights: • The authors investigate the spin-resolved quantum transport with interplay of the Zeeman and the Rashba-Dresselhaus spin-orbit coupling effects. • The spin-resolved quantum transport is influenced by the bubble-like evanescent modes in the gap energy region and a ultra-low energy region induced by the Dresselhaus effect. • The bound-state analysis for the conductance structures influenced by the spin-orbit effect can be determined by a transcendental equation. The spintronic effect of quantum transport is investigated in a fully-depleted spin transistor. The analysis considers the Zeeman effect caused by an external planar magnetic field and the electron transport characteristics induced under Rashba-Dresselhaus spin-orbit coupling. A transcendental equation is proposed for predicting the bound state energies of the conductance structure produced under the strong Rashha-Desselhaus-Zeeman effect. It is shown that the proposed equation provides an accurate means of predicting the bound state energy as a function of the potential energy and top gate length.