Quantum Particles Constrained on Cylindrical Surfaces with Non-constant Diameter(Condensed matter : Electronic Structure, Electrical, Magnetic and Optical Properties)

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概要

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• We present a theoretical formulation of the one-electron problem constrained on the surface of a cylindrical tubule with varying diameter. Because of the cylindrical symmetry, we may reduce the problem to a one-dimensional equation for each angular momentum quantum number m along the cylindrical axis. The geometrical properties of the surface determine the electronic structures through the geometry dependent term in the equation. Magnetic fields parallel to the axis can readily be incorporated. Our formulation is applied to simple examples such as the catenoid and the sinusoidal tubules. The existence of bound states as well as the band structures, which are induced geometrically, for these surfaces are shown. To show that the electronic structures can be altered significantly by applying a magnetic field, Aharonov-Bohm effects in these examples are demonstrated.

• 一般社団法人日本物理学会の論文
• 2004-11-15

著者

• Fujita N

  Tohoku Univ. Sendai

• Fujita Nobuhisa

  Department of Applied Chemistry, Technical College of Tokushima University

関連論文

• Theoretical study on electronic localization properties of a one-dimensional quasiperiodic system(Abstracts of Doctoral Dissertations,Annual Report(from April 1999 to March 2000))
• Quantum Particles Constrained on Cylindrical Surfaces with Non-constant Diameter(Condensed matter : Electronic Structure, Electrical, Magnetic and Optical Properties)
• Quantum Particles Constrained on Cylindrical Surfaces with Non-constant Diameter(Condensed matter : Electronic Structure, Electrical, Magnetic and Optical Properties)

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