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Electron-state effect induced by helical structure of metal nanowires formulated by path integrals in Riemann space
Phys. Rev. B 71, 033401 – Published 4 January, 2005
DOI: https://doi.org/10.1103/PhysRevB.71.033401
Abstract
Thin nanowires of a metal have a multishell structure in which several deformed helical shells are stacked. The purpose of this paper is to give a perspective on the electron state in a helical nanowire based on the Riemann geometrical formulation of quantum mechanics within the continuum approximation of a wire. The helical configuration of atoms in the wires results in a sort of vector potential, and the electron state is modulated by the winding number and the shear modulus of the shell. The energy dispersion curve depends on the imbalance of the slide and distortion angles of the wire.
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