An investigation of tunable spin–orbit interactions in front-gated In0.75Ga0.25As/In0.75Al0.25As heterojunctions

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Abstract

We investigated zero-field spin-splitting in normal-type In0.75Ga0.25As/In0.75Al0.25As heterostructure by magnetoresistance measurements at 1.5K. The maximum value of spin–orbit interaction parameter, αzero, obtained here is 32×10−12eVm. We also confirmed a tuning of αzero by applying gate biases. On the other hand, we observed no beat oscillation when the In0.75Ga0.25As well width decreased from 30 to 10nm. These results suggested that interface contribution related to the asymmetry of wave function penetration into the barriers could be enhanced in our heterojunction.

Introduction

Generally, it is said that zero-field spin-splitting is derived from two different physical origins. The first effect is due to the bulk inversion asymmetry (BIA) of zinc-blend structure. The second effect is based on the structure inversion asymmetry (SIA), which yields local electric field due to conduction band bending. This is known as the Rashba mechanism [1]. Recently, gated control of zero-field spin-splitting has been reported in narrow gap heterostructures such as inverted In0.53Ga0.47As/In0.52Al0.48As [2] or In0.77Ga0.23As/InP [3]. On the other hand, in InAs/AlSb heterointerface, zero-field spin-splitting was not tuned by applied gate voltage [4], or no beating oscillation was reported [5]. Although several experimental [2], [3], [4], [5] and theoretical [3], [7] studies have been made, a complete understanding is not yet to be attained on this matter.

The purpose of this paper is to report zero-field spin-splitting in normal-type In0.75Ga0.25As/In0.75Al0.25As heterostructure by the analysis of magnetoresistance at 1.5K. The maximum value of spin-orbit interaction parameter, αzero, obtained here is 32×10−12eVm. We also confirmed a tunable αzero from 32×10−12eVm to 14 by applying negative gate voltage. Nevertheless, we could not observe the beating oscillation when In0.75Ga0.25As channel layer thickness decreased from 30 to 10nm.

These results lead to the conclusion that the origin of zero-field spin-splitting is mainly derived from the interface contribution [3] in the Rashba term, to put it another way, from the asymmetry of wave function penetrations into the barrier layer in our heterostructure.

Section snippets

Sample preparation

We prepared a layer structure of In0.75Ga0.25As/In0.75Al0.25As normal-type modulation-doped heterostructure grown by molecular beam epitaxy (MBE) [6]. The structure consisted of a semi-insulating GaAs (001) substrate, 30nm thick GaAs buffer layer, InyAl1−yAs step graded buffer (SGB) layer (y=0.15–0.75, 100nm each steps), 30 or 10nm thick In0.75Ga0.25As channel layer, 20nmIn0.75Al0.25As spacer, and 40nmIn0.75Al0.25As carrier supply layer doped by Si. On top of the doped layer, an additional 10nm

Results and discussions

Fig. 1 shows typical SdH oscillations of longitudinal resistance Rxx in Hall-bar sample directed to 〈−110〉 with FFT results (inset) when the gate voltage (Vg) was zero. It is well known that the SdH oscillation for an ideal 2D system are periodic against inverse magnetic field, and the period is given by Δ(1/B)=(e/ℏπ)ns−1, where ns is the carrier density with spin degeneracy of 2. The beat in Fig. 1, arising from the participation of two sets of oscillations with slightly different frequencies,

Conclusions

In conclusion, we have investigated zero-field spin splitting and obtained large αzero values ∼30×10−12eVm in In0.75Ga0.25As/In0.75Al0.25As normal-type heterostructure. We also confirmed that spin–orbit interaction parameter, αzero, can be tuned by applied negative gate voltage, where the value of αzero varied from 32×10−12eVm to 14.

From the well width dependence of SdH beat oscillation and the corresponding self-consistent calculations, it is strongly suggested that possible origin of large

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