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Curvature-induced bound states and coherent electron transport on the surface of a truncated cone
Du, Long1; Wang, Yong-Long2,3; Liang, Guo-Hua1; Kang, Guang-Zhen2; Liu, Xiao-Jun1; Zong, Hong-Shi2,4,5
2016-02-01
Source PublicationPHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Volume76Pages:28-34
AbstractWe study the curvature-induced bound states and the coherent transport properties for a particle constrained to move on a truncated cone-like surface. With longitudinal hard wall boundary condition, the probability densities and spectra energy shifts are calculated, and are found to be obviously affected by the surface curvature. The bound-state energy levels and energy differences decrease as increasing the vertex angle or the ratio of axial length to bottom radius of the truncated cone. In a two-dimensional (2D) GaAs substrate with this geometric structure, an estimation of the ground-state energy shift of ballistic transport electrons induced by the geometric potential (GP) is addressed, which shows that the fraction of the ground-state energy shift resulting from the surface curvature is unnegligible under some region of geometric parameters. Furthermore, we model a truncated cone-like junction joining two cylinders with different radii, and investigate the effect of the GP on the transmission properties by numerically solving the open-boundary 2D Schrodinger equation with GP on the junction surface. It is shown that the oscillatory behavior of the transmission coefficient as a function of the injection energy is more pronounced when steeper GP wells appear at the two ends of the junction. Moreover, at specific injection energy, the transmission coefficient is oscillating with the ratio of the cylinder radii at incoming and outgoing sides. (C) 2015 Elsevier B.V. All rights reserved.
KeywordBound State Coherent Transport Curvature-induced Geometric Potential Truncated Cone
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1016/j.physe.2015.10.011
WOS KeywordQUANTUM-MECHANICS ; CONSTRAINTS ; PARTICLE
Indexed BySCI
Language英语
WOS Research AreaScience & Technology - Other Topics ; Physics
WOS SubjectNanoscience & Nanotechnology ; Physics, Condensed Matter
WOS IDWOS:000366084100004
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/16078
Collection盱眙天文观测站
Affiliation1.Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Dept Phys, Key Lab Modern Acoust, Nanjing 210093, Jiangsu, Peoples R China
2.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
3.Linyi Univ, Sch Sci, Dept Phys, Linyi 276005, Peoples R China
4.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China
5.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Du, Long,Wang, Yong-Long,Liang, Guo-Hua,et al. Curvature-induced bound states and coherent electron transport on the surface of a truncated cone[J]. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES,2016,76:28-34.
APA Du, Long,Wang, Yong-Long,Liang, Guo-Hua,Kang, Guang-Zhen,Liu, Xiao-Jun,&Zong, Hong-Shi.(2016).Curvature-induced bound states and coherent electron transport on the surface of a truncated cone.PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES,76,28-34.
MLA Du, Long,et al."Curvature-induced bound states and coherent electron transport on the surface of a truncated cone".PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES 76(2016):28-34.
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