M. Li, R. Zhang, Z. Zhang, W. Yan, B. Liu, D. Fu, C. Z. Zhao, Z. Xie, X. Xiu, Y. Zheng
{"title":"Effect of Doping Concentration and Barrier Thickness on Rashba Spin Splitting in Al0.5Ga0.5N/GaN Heterostructures","authors":"M. Li, R. Zhang, Z. Zhang, W. Yan, B. Liu, D. Fu, C. Z. Zhao, Z. Xie, X. Xiu, Y. Zheng","doi":"10.1109/IWCE.2009.5091110","DOIUrl":null,"url":null,"abstract":"Schrodinger equation and Poisson equation are solved self-consistently for Al 0.5 Ga 0.5 N/GaN heterojunctions grown along the c axis, then the distribution of electrons and the exact energy of all the bounded states confined in heterojunctions are gotten, and the electrons are found to take up the first two subbands. Considerable magnitude of Rashba spin splitting for the first subband at the Fermi level is obtained. The changes of Rashba spin splitting with barrier thickness, and doping concentration in the barrier are calculated. The results show that Rashba spin splitting in Al 0.5 Ga 0.5 N/GaN heterojunctions increase with doping concentration and the thickness of the barrier, and the internal electric field caused by piezoelectric polarization and the spontaneous polarization is crucial for considerable Rashba spin splitting in Al 0.5 Ga 0.5 N/GaN heterojunctions. Therefore, we can change barrier thickness and doping concentration to modulate internal electric field and then Rashba spin splitting in Alo 0.5 Ga 0.5 N/GaN heterojunctions.","PeriodicalId":443119,"journal":{"name":"2009 13th International Workshop on Computational Electronics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 13th International Workshop on Computational Electronics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCE.2009.5091110","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Schrodinger equation and Poisson equation are solved self-consistently for Al 0.5 Ga 0.5 N/GaN heterojunctions grown along the c axis, then the distribution of electrons and the exact energy of all the bounded states confined in heterojunctions are gotten, and the electrons are found to take up the first two subbands. Considerable magnitude of Rashba spin splitting for the first subband at the Fermi level is obtained. The changes of Rashba spin splitting with barrier thickness, and doping concentration in the barrier are calculated. The results show that Rashba spin splitting in Al 0.5 Ga 0.5 N/GaN heterojunctions increase with doping concentration and the thickness of the barrier, and the internal electric field caused by piezoelectric polarization and the spontaneous polarization is crucial for considerable Rashba spin splitting in Al 0.5 Ga 0.5 N/GaN heterojunctions. Therefore, we can change barrier thickness and doping concentration to modulate internal electric field and then Rashba spin splitting in Alo 0.5 Ga 0.5 N/GaN heterojunctions.
对沿c轴生长的Al - 0.5 Ga - 0.5 N/GaN异质结的薛定谔方程和泊松方程进行了自洽求解,得到了异质结中电子的分布和所有束缚态的精确能量,发现电子占据了前两个子带。在费米能级上得到了第一子带的相当大的Rashba自旋分裂。计算了Rashba自旋分裂随势垒厚度和势垒中掺杂浓度的变化。结果表明,Al 0.5 Ga 0.5 N/GaN异质结中的Rashba自旋分裂随掺杂浓度和势垒厚度的增加而增加,压电极化和自发极化引起的内部电场是Al 0.5 Ga 0.5 N/GaN异质结中Rashba自旋分裂的关键。因此,我们可以通过改变势垒厚度和掺杂浓度来调制内部电场,从而在Alo 0.5 Ga 0.5 N/GaN异质结中实现Rashba自旋分裂。