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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 張慶瑞 | |
dc.contributor.author | Cheng-Yen Ho | en |
dc.contributor.author | 何承晏 | zh_TW |
dc.date.accessioned | 2021-06-15T04:28:07Z | - |
dc.date.available | 2014-08-18 | |
dc.date.copyright | 2011-08-18 | |
dc.date.issued | 2011 | |
dc.date.submitted | 2011-08-17 | |
dc.identifier.citation | [1] S.-H. Chen, I. Klik, and C.-R. Chang. Spin-hall effect in a finite twodimensional
electron gas sample with a central defect. Journal of Applied Physics, 105(7):07E908, 2009. [2] S.-H. Chen, I. Klik, and C.-R. Chang. Spin hall effect in a square 2deg sample with a central defect. Journal of Magnetism and Magnetic Materials, 322(9-12):1452– 1455, 2010. [3] S.-H. Chen, M.-H. Liu, K.-W. Chen, and C.-R. Chang. Spin accumulation oscillation and current vortex in the landauer setup with locally applied biases. Journal of Applied Physics, 103(7):07B721, 2008. [4] S. Datta. Electronic Transport in Mesoscopic Systems. Cambridge University Press, 1998. [5] S. Datta. Nanoscale device modeling: the green’s function method. Superlattices and Microstructures, 28(4):253 – 278, 2000. [6] A. I. Ekimov and A. A. Onushchenko. Quantum size effect in three-dimensional microscopic semiconductor crystals. Soviet Journal of Experimental and Theoretical Physics Letters, 34:345–+, Sept. 1981. [7] L. Keldysh. Diagram technique for nonwquilibrium processes. Sov. Phys. JETP, 20(1018):67,68, 1965. [8] B. Mandelbrot. How long is the coast of britain? statistical self-similarity and fractional dimension. Science, 156(3775):636–638, 1967. [9] C. B. Murray, C. R. Kagan, and M. G. Bawendi. Synthesis and Characterization of Monodisperse Nanocrystals and Close-Packed Nanocrystal Assemblies. Annual Review of Materials Science, 30:545–610, Aug. 2000. [10] B. K. Nikoli′c, S. Souma, L. P. Zˆarbo, and J. Sinova. Nonequilibrium spin hall accumulation in ballistic semiconductor nanostructures. Phys. Rev. Lett., 95(4):046601, Jul 2005. [11] R. Shankar. Principles of quantum mechanics. Plenum Press, 1994. 36 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45575 | - |
dc.description.abstract | 本篇論文將探討自旋電子在自旋軌道偶和的傳輸從二維系統到準一
維系統。利用非平衡格林函數在緊核模型和碎形理論,模擬自旋電子 和電子在不同形狀的元件分布情形,是否有碎形的情況產生。同時隨 著形狀的改變,可以傳導的面積隨之減少,因而傳輸的能力也會有所 不同。接著比較相通數量接點的線型傳輸元件,藉以分析出碎形所造 成的效應。 | zh_TW |
dc.description.abstract | This thesis is theoretical study of spatial behavior of spin from two dimensions
to quasi-one dimension subject to the Rashba spin-orbital coupling. The theoretical method is Non-Equilibrium Green’s Function (NEGF) in tightbinding model and lead self-energy model. The result of NEGF in 2D simple tight-binding square-lattice Hamiltonian and two normal metal leads is studied. The Spin Hall effect presents in the distribution of spin density. We tune the two-dimensional square-lattice into quasi-one dimensional fractal shape by taking off the element of matrix of Hamiltonian. In the different shape we produced, the local spin density and transmission are discussed and compared with linear shape in each cases. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T04:28:07Z (GMT). No. of bitstreams: 1 ntu-100-R97222052-1.pdf: 7124432 bytes, checksum: 31f8cb41548c8b0f80235c9f54a2e816 (MD5) Previous issue date: 2011 | en |
dc.description.tableofcontents | 致謝i
中文摘要ii Abstract iii 1 Introduction 1 1.1 Overview of electronic industry . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Introduction to Spin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.3 Spin-Orbit Coupling Effect . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.4 Fractal Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 The Landauer Keldysh Formalism 5 2.1 Landauer Keldysh Formalism . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Physical quantities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2.1 Local charge density . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2.2 Local spin density . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 The lesser Green’s function . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 The Hamiltonian matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.5 Tight-Binding model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.6 Normal metal lead . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3 Nonequilibrium Charge and Spin Transport 10 3.1 Intrinsic Spin-Hall Effect . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.2 Fractal Case 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.3 Fractal Case 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.4 Fractal Case 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3.5 Fractal Case 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.6 Transmission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 4 Conclusion 34 Bibliography 35 | |
dc.language.iso | zh-TW | |
dc.title | 從二維空間到準一維空間之自旋電子傳輸 | zh_TW |
dc.title | Transition : From 2D to Quasi-One Dimension of Spin Transport | en |
dc.type | Thesis | |
dc.date.schoolyear | 99-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 胡崇德,關肇正 | |
dc.subject.keyword | 電子傳輸,碎形,量子點,格林函數, | zh_TW |
dc.subject.keyword | Quantum Dot,Spin,Transport,Fractal Structure,LKF,Landauer Keldysh Formalism,NEGF,Non-Equilibrium Green’s Function, | en |
dc.relation.page | 36 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2011-08-17 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 物理研究所 | zh_TW |
顯示於系所單位: | 物理學系 |
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